Details

analyze1.7s (10.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

770×	`times-frac_binary64_16111`
445×	`div-sub_binary64_16110`
393×	`distribute-neg-frac_binary64_16069`
388×	`associate-/r/_binary64_16051`
367×	`associate-*l/_binary64_16048`
348×	`associate-/r*_binary64_16049`
338×	`associate-/l*_binary64_16050`
303×	`cancel-sign-sub-inv_binary64_16071`
200×	`associate-/l/_binary64_16052`
190×	`neg-mul-1_binary64_16101`
185×	`distribute-rgt-neg-in_binary64_16063`
181×	`neg-sub0_binary64_16100`
177×	`distribute-lft-neg-in_binary64_16062`
96×	`associate-*r/_binary64_16047`
91×	`sub-neg_binary64_16098`
68×	`associate-r_binary64_16045`
40×	`*-commutative_binary64_16036`
34×	`associate-l_binary64_16046`
28×	`unsub-neg_binary64_16099`
22×	`distribute-lft-neg-out_binary64_16064`
18×	`+-commutative_binary64_16035`
14×	`distribute-rgt-neg-out_binary64_16065` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054`
9×	`sub0-neg_binary64_16092` `associate-+l-_binary64_16040` `associate-+r-_binary64_16039`
7×	`+-rgt-identity_binary64_16090`
1×	`swap-x-y` `swap-z-t`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16368` `erf-erfc_binary64_16367` `erf-odd_binary64_16366` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or-not_binary64_16363` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `not-gte_binary64_16357` `not-lte_binary64_16356` `not-gt_binary64_16355` `not-lt_binary64_16354` `gte-same_binary64_16353` `lte-same_binary64_16352` `gt-same_binary64_16351` `lt-same_binary64_16350` `sinh---cosh_binary64_16297` `sinh-+-cosh_binary64_16296` `sinh-cosh_binary64_16295` `tanh-def-c_binary64_16294` `tanh-def-b_binary64_16293` `tanh-def-a_binary64_16292` `cosh-def_binary64_16291` `sinh-def_binary64_16290` `tan-neg_binary64_16237` `cos-neg_binary64_16236` `sin-neg_binary64_16235` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `hang-m-tan_binary64_16231` `hang-p-tan_binary64_16230` `hang-m0-tan_binary64_16229` `hang-p0-tan_binary64_16228` `hang-0m-tan_binary64_16227` `hang-0p-tan_binary64_16226` `tan-+PI/2_binary64_16225` `tan-+PI_binary64_16224` `tan-PI_binary64_16223` `tan-PI/3_binary64_16222` `tan-PI/4_binary64_16221` `tan-PI/6_binary64_16220` `cos-+PI/2_binary64_16219` `cos-+PI_binary64_16218` `cos-PI_binary64_16217` `cos-PI/2_binary64_16216` `cos-PI/3_binary64_16215` `cos-PI/4_binary64_16214` `cos-PI/6_binary64_16213` `sin-+PI/2_binary64_16212` `sin-+PI_binary64_16211` `sin-PI_binary64_16210` `sin-PI/2_binary64_16209` `sin-PI/3_binary64_16208` `sin-PI/4_binary64_16207` `sin-PI/6_binary64_16206` `sub-1-sin_binary64_16205` `sub-1-cos_binary64_16204` `-1-add-sin_binary64_16203` `-1-add-cos_binary64_16202` `1-sub-sin_binary64_16201` `1-sub-cos_binary64_16200` `cos-sin-sum_binary64_16199` `log-E_binary64_16195` `log-pow_binary64_16194` `log-rec_binary64_16193` `log-div_binary64_16192` `log-prod_binary64_16191` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow3_binary64_16171` `unpow2_binary64_16170` `unpow1/2_binary64_16169` `pow-plus_binary64_16168` `exp-to-pow_binary64_16167` `pow-base-1_binary64_16165` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-lft-sqr_binary64_16160` `exp-cbrt_binary64_16159` `exp-sqrt_binary64_16158` `exp-prod_binary64_16157` `div-exp_binary64_16156` `rec-exp_binary64_16155` `prod-exp_binary64_16154` `exp-diff_binary64_16153` `exp-neg_binary64_16152` `exp-sum_binary64_16151` `e-exp-1_binary64_16150` `1-exp_binary64_16149` `exp-1-e_binary64_16148` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `rem-exp-log_binary64_16145` `cube-unmult_binary64_16142` `cube-mult_binary64_16135` `cube-div_binary64_16134` `cube-prod_binary64_16133` `cube-neg_binary64_16132` `rem-3cbrt-rft_binary64_16131` `rem-3cbrt-lft_binary64_16130` `rem-cbrt-cube_binary64_16129` `rem-cube-cbrt_binary64_16128` `sqr-abs_binary64_16120` `sqr-neg_binary64_16119` `rem-sqrt-square_binary64_16118` `rem-square-sqrt_binary64_16117` `mul-1-neg_binary64_16097` `/-rgt-identity_binary64_16096` `-rgt-identity_binary64_16095` `-lft-identity_binary64_16094` `remove-double-neg_binary64_16093` `--rgt-identity_binary64_16091` `+-lft-identity_binary64_16089` `mul0-rgt_binary64_16088` `mul0-lft_binary64_16087` `div0_binary64_16086` `*-inverses_binary64_16085` `+-inverses_binary64_16084` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `remove-double-div_binary64_16081` `pow-sqr_binary64_16078` `sqr-pow_binary64_16077` `difference-of-sqr--1_binary64_16076` `difference-of-sqr-1_binary64_16075` `difference-of-squares_binary64_16074` `unswap-sqr_binary64_16073` `swap-sqr_binary64_16072` `cancel-sign-sub_binary64_16070` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-neg-in_binary64_16066` `distribute-rgt1-in_binary64_16061` `distribute-lft1-in_binary64_16060` `distribute-rgt-out--_binary64_16059` `distribute-rgt-out_binary64_16058` `distribute-lft-out--_binary64_16057` `distribute-lft-out_binary64_16056` `count-2_binary64_16053` `associate--r-_binary64_16044` `associate--l-_binary64_16043` `associate--l+_binary64_16042` `associate--r+_binary64_16041` `associate-+l+_binary64_16038` `associate-+r+_binary64_16037`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	166	209
2	613	209
3	2006	209
4	4408	209
5	4999	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	86×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify697.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1728×	`associate-/l*_binary64_16050`
1269×	`div-sub_binary64_16110`
1211×	`distribute-rgt-in_binary64_16055`
791×	`sub-neg_binary64_16098`
779×	`cancel-sign-sub-inv_binary64_16071`
711×	`associate-/r*_binary64_16049`
676×	`times-frac_binary64_16111`
665×	`associate-/r/_binary64_16051`
562×	`distribute-rgt-neg-in_binary64_16063`
491×	`unsub-neg_binary64_16099`
483×	`distribute-lft-in_binary64_16054`
473×	`associate-/l/_binary64_16052`
466×	`distribute-neg-frac_binary64_16069`
383×	`distribute-lft-neg-in_binary64_16062`
349×	`neg-mul-1_binary64_16101`
310×	`neg-sub0_binary64_16100`
288×	`+-lft-identity_binary64_16089`
282×	`associate-*l/_binary64_16048`
273×	`distribute-neg-in_binary64_16066`
269×	`distribute-rgt-neg-out_binary64_16065`
260×	`distribute-lft-neg-out_binary64_16064`
252×	`*-commutative_binary64_16036`
179×	`associate-*r/_binary64_16047`
128×	`*-rgt-identity_binary64_16095`
110×	`mul0-rgt_binary64_16088`
104×	`div0_binary64_16086`
101×	`associate-r_binary64_16045`
100×	`associate-l_binary64_16046`
97×	`mul0-lft_binary64_16087` `associate--r+_binary64_16041`
92×	`+-commutative_binary64_16035`
81×	`remove-double-neg_binary64_16093`
49×	`associate-+l-_binary64_16040`
48×	`+-rgt-identity_binary64_16090` `associate--r-_binary64_16044`
37×	`/-rgt-identity_binary64_16096` `distribute-rgt-out--_binary64_16059`
36×	`distribute-frac-neg_binary64_16068` `distribute-rgt-out_binary64_16058`
30×	`distribute-neg-out_binary64_16067` `associate--l-_binary64_16043`
27×	`associate--l+_binary64_16042`
26×	`*-lft-identity_binary64_16094`
25×	`associate-+r-_binary64_16039`
24×	`mul-1-neg_binary64_16097`
21×	`associate-+l+_binary64_16038`
19×	`cancel-sign-sub_binary64_16070`
18×	`sub0-neg_binary64_16092`
13×	`--rgt-identity_binary64_16091`
6×	`distribute-lft-out_binary64_16056`
4×	`associate-+r+_binary64_16037`
1×	`1-exp_binary64_16149`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16368` `erf-erfc_binary64_16367` `erf-odd_binary64_16366` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or-not_binary64_16363` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `not-gte_binary64_16357` `not-lte_binary64_16356` `not-gt_binary64_16355` `not-lt_binary64_16354` `gte-same_binary64_16353` `lte-same_binary64_16352` `gt-same_binary64_16351` `lt-same_binary64_16350` `sinh---cosh_binary64_16297` `sinh-+-cosh_binary64_16296` `sinh-cosh_binary64_16295` `tanh-def-c_binary64_16294` `tanh-def-b_binary64_16293` `tanh-def-a_binary64_16292` `cosh-def_binary64_16291` `sinh-def_binary64_16290` `tan-neg_binary64_16237` `cos-neg_binary64_16236` `sin-neg_binary64_16235` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `hang-m-tan_binary64_16231` `hang-p-tan_binary64_16230` `hang-m0-tan_binary64_16229` `hang-p0-tan_binary64_16228` `hang-0m-tan_binary64_16227` `hang-0p-tan_binary64_16226` `tan-+PI/2_binary64_16225` `tan-+PI_binary64_16224` `tan-PI_binary64_16223` `tan-PI/3_binary64_16222` `tan-PI/4_binary64_16221` `tan-PI/6_binary64_16220` `cos-+PI/2_binary64_16219` `cos-+PI_binary64_16218` `cos-PI_binary64_16217` `cos-PI/2_binary64_16216` `cos-PI/3_binary64_16215` `cos-PI/4_binary64_16214` `cos-PI/6_binary64_16213` `sin-+PI/2_binary64_16212` `sin-+PI_binary64_16211` `sin-PI_binary64_16210` `sin-PI/2_binary64_16209` `sin-PI/3_binary64_16208` `sin-PI/4_binary64_16207` `sin-PI/6_binary64_16206` `sub-1-sin_binary64_16205` `sub-1-cos_binary64_16204` `-1-add-sin_binary64_16203` `-1-add-cos_binary64_16202` `1-sub-sin_binary64_16201` `1-sub-cos_binary64_16200` `cos-sin-sum_binary64_16199` `log-E_binary64_16195` `log-pow_binary64_16194` `log-rec_binary64_16193` `log-div_binary64_16192` `log-prod_binary64_16191` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow3_binary64_16171` `unpow2_binary64_16170` `unpow1/2_binary64_16169` `pow-plus_binary64_16168` `exp-to-pow_binary64_16167` `pow-base-1_binary64_16165` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-lft-sqr_binary64_16160` `exp-cbrt_binary64_16159` `exp-sqrt_binary64_16158` `exp-prod_binary64_16157` `div-exp_binary64_16156` `rec-exp_binary64_16155` `prod-exp_binary64_16154` `exp-diff_binary64_16153` `exp-neg_binary64_16152` `exp-sum_binary64_16151` `e-exp-1_binary64_16150` `exp-1-e_binary64_16148` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `rem-exp-log_binary64_16145` `cube-unmult_binary64_16142` `cube-mult_binary64_16135` `cube-div_binary64_16134` `cube-prod_binary64_16133` `cube-neg_binary64_16132` `rem-3cbrt-rft_binary64_16131` `rem-3cbrt-lft_binary64_16130` `rem-cbrt-cube_binary64_16129` `rem-cube-cbrt_binary64_16128` `sqr-abs_binary64_16120` `sqr-neg_binary64_16119` `rem-sqrt-square_binary64_16118` `rem-square-sqrt_binary64_16117` `*-inverses_binary64_16085` `+-inverses_binary64_16084` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `remove-double-div_binary64_16081` `pow-sqr_binary64_16078` `sqr-pow_binary64_16077` `difference-of-sqr--1_binary64_16076` `difference-of-sqr-1_binary64_16075` `difference-of-squares_binary64_16074` `unswap-sqr_binary64_16073` `swap-sqr_binary64_16072` `distribute-rgt1-in_binary64_16061` `distribute-lft1-in_binary64_16060` `distribute-lft-out--_binary64_16057` `count-2_binary64_16053`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	30	19
2	101	19
3	305	19
4	751	19
5	1395	19
6	1737	19
7	1915	19
8	2338	19
9	2903	19
10	3317	19
11	3521	19
12	3460	19
13	3471	19
14	3481	19
15	3825	19
16	3894	19
17	3899	19
18	3899	19
19	4026	19
20	3914	19
21	4337	19
22	4484	19
23	4514	19
24	4450	19
25	4430	19
26	4175	19
27	4267	19
28	4285	19
29	4351	19
30	4471	19
31	4395	19
32	4395	19
33	4398	19
34	4398	19
35	3981	19
36	4073	19
37	4512	19
38	4679	19
39	4535	19
40	4721	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

6.0b

Counts

1 → 1

Compiler

Compiled 13 to 13 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 z 9) t)
0.3b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
5.7b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite95.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
8×	`pow1_binary64_16166`
6×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
5×	`add-log-exp_binary64_16144`
4×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
3×	`times-frac_binary64_16111` `associate-/l_binary64_16050` `pow-prod-down_binary64_16176` `associate-r*_binary64_16045`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `flip3--_binary64_16109` `associate-/l/_binary64_16052` `flip--_binary64_16080`
1×	`frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/r_binary64_16049` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071` `associate-l_binary64_16046` `-commutative_binary64_16036`

Counts

3 → 54

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Compiler

Compiled 1206 to 698 computations (42.1% saved)

series1.1s (6.6%)

Error

5.8b

Counts

3 → 57

Calls

3 calls:

661.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
290.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
76.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

390×	`*-commutative_binary64_16036`
364×	`cancel-sign-sub-inv_binary64_16071`
305×	`div-sub_binary64_16110`
289×	`associate-/l*_binary64_16050`
241×	`times-frac_binary64_16111`
173×	`associate-l_binary64_16046`
171×	`exp-prod_binary64_16157`
169×	`distribute-rgt-neg-in_binary64_16063`
165×	`associate-/r*_binary64_16049`
152×	`distribute-lft-neg-in_binary64_16062`
127×	`associate-r_binary64_16045`
126×	`distribute-rgt-in_binary64_16055`
122×	`distribute-lft-in_binary64_16054`
118×	`neg-sub0_binary64_16100`
116×	`neg-mul-1_binary64_16101`
111×	`associate-*l/_binary64_16048`
103×	`associate-/l/_binary64_16052`
96×	`sub-neg_binary64_16098`
90×	`sqr-pow_binary64_16077`
84×	`associate-*r/_binary64_16047`
70×	`associate-/r/_binary64_16051`
43×	`unsub-neg_binary64_16099`
42×	`cube-prod_binary64_16133`
41×	`swap-sqr_binary64_16072`
39×	`log-prod_binary64_16191` `distribute-neg-frac_binary64_16069`
36×	`+-commutative_binary64_16035`
28×	`distribute-rgt-out_binary64_16058`
22×	`difference-of-squares_binary64_16074` `unswap-sqr_binary64_16073`
20×	`exp-sum_binary64_16151`
18×	`distribute-lft-out_binary64_16056`
17×	`distribute-lft-neg-out_binary64_16064`
16×	`exp-sqrt_binary64_16158` `associate-+l+_binary64_16038`
14×	`exp-diff_binary64_16153` `associate-+r+_binary64_16037`
10×	`unpow3_binary64_16171` `*-lft-identity_binary64_16094`
9×	`pow-sqr_binary64_16078` `distribute-neg-in_binary64_16066` `distribute-rgt-neg-out_binary64_16065`
8×	`*-rgt-identity_binary64_16095` `remove-double-neg_binary64_16093` `mul0-rgt_binary64_16088` `mul0-lft_binary64_16087` `associate-+l-_binary64_16040`
7×	`cube-mult_binary64_16135` `+-rgt-identity_binary64_16090` `associate-+r-_binary64_16039`
6×	`log-div_binary64_16192` `sub0-neg_binary64_16092` `associate--r+_binary64_16041`
5×	`cube-unmult_binary64_16142` `/-rgt-identity_binary64_16096`
4×	`cube-div_binary64_16134`
3×	`mul-1-neg_binary64_16097` `associate--r-_binary64_16044`
1×	`unpow1/2_binary64_16169` `div-exp_binary64_16156` `1-exp_binary64_16149` `exp-1-e_binary64_16148` `cube-neg_binary64_16132` `sqr-neg_binary64_16119` `--rgt-identity_binary64_16091` `div0_binary64_16086`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16368` `erf-erfc_binary64_16367` `erf-odd_binary64_16366` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or-not_binary64_16363` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `not-gte_binary64_16357` `not-lte_binary64_16356` `not-gt_binary64_16355` `not-lt_binary64_16354` `gte-same_binary64_16353` `lte-same_binary64_16352` `gt-same_binary64_16351` `lt-same_binary64_16350` `sinh---cosh_binary64_16297` `sinh-+-cosh_binary64_16296` `sinh-cosh_binary64_16295` `tanh-def-c_binary64_16294` `tanh-def-b_binary64_16293` `tanh-def-a_binary64_16292` `cosh-def_binary64_16291` `sinh-def_binary64_16290` `tan-neg_binary64_16237` `cos-neg_binary64_16236` `sin-neg_binary64_16235` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `hang-m-tan_binary64_16231` `hang-p-tan_binary64_16230` `hang-m0-tan_binary64_16229` `hang-p0-tan_binary64_16228` `hang-0m-tan_binary64_16227` `hang-0p-tan_binary64_16226` `tan-+PI/2_binary64_16225` `tan-+PI_binary64_16224` `tan-PI_binary64_16223` `tan-PI/3_binary64_16222` `tan-PI/4_binary64_16221` `tan-PI/6_binary64_16220` `cos-+PI/2_binary64_16219` `cos-+PI_binary64_16218` `cos-PI_binary64_16217` `cos-PI/2_binary64_16216` `cos-PI/3_binary64_16215` `cos-PI/4_binary64_16214` `cos-PI/6_binary64_16213` `sin-+PI/2_binary64_16212` `sin-+PI_binary64_16211` `sin-PI_binary64_16210` `sin-PI/2_binary64_16209` `sin-PI/3_binary64_16208` `sin-PI/4_binary64_16207` `sin-PI/6_binary64_16206` `sub-1-sin_binary64_16205` `sub-1-cos_binary64_16204` `-1-add-sin_binary64_16203` `-1-add-cos_binary64_16202` `1-sub-sin_binary64_16201` `1-sub-cos_binary64_16200` `cos-sin-sum_binary64_16199` `log-E_binary64_16195` `log-pow_binary64_16194` `log-rec_binary64_16193` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow2_binary64_16170` `pow-plus_binary64_16168` `exp-to-pow_binary64_16167` `pow-base-1_binary64_16165` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-lft-sqr_binary64_16160` `exp-cbrt_binary64_16159` `rec-exp_binary64_16155` `prod-exp_binary64_16154` `exp-neg_binary64_16152` `e-exp-1_binary64_16150` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `rem-exp-log_binary64_16145` `rem-3cbrt-rft_binary64_16131` `rem-3cbrt-lft_binary64_16130` `rem-cbrt-cube_binary64_16129` `rem-cube-cbrt_binary64_16128` `sqr-abs_binary64_16120` `rem-sqrt-square_binary64_16118` `rem-square-sqrt_binary64_16117` `+-lft-identity_binary64_16089` `*-inverses_binary64_16085` `+-inverses_binary64_16084` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `remove-double-div_binary64_16081` `difference-of-sqr--1_binary64_16076` `difference-of-sqr-1_binary64_16075` `cancel-sign-sub_binary64_16070` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-rgt1-in_binary64_16061` `distribute-lft1-in_binary64_16060` `distribute-rgt-out--_binary64_16059` `distribute-lft-out--_binary64_16057` `count-2_binary64_16053` `associate--l-_binary64_16043` `associate--l+_binary64_16042`

Counts

111 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1784
1	381	1636
2	1313	1631
3	3445	1631
4	5092	1631

prune100.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	9	85

Error

5.7b

Counts

85 → 9

Compiler

Compiled 1588 to 853 computations (46.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
0.2b	(.f64 (/.f64 (.f64 t z) a) 9/2)
3.9b	(/.f64 (*.f64 t z) a)
5.1b	(/.f64 (.f64 x y) (.f64 a 2))

rewrite135.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

30×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
11×	`add-sqr-sqrt_binary64_16127`
9×	`prod-exp_binary64_16154` `add-cube-cbrt_binary64_16140` `cbrt-unprod_binary64_16138` `*-un-lft-identity_binary64_16105`
8×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
7×	`times-frac_binary64_16111` `associate-l_binary64_16046`
6×	`pow1_binary64_16166` `add-log-exp_binary64_16144`
4×	`associate-/r*_binary64_16049`
3×	`div-inv_binary64_16102` `associate-r_binary64_16045`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `associate-/l_binary64_16050` `associate-l/_binary64_16048`
1×	`pow-prod-down_binary64_16176` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036` `diff-log_binary64_16197` `frac-sub_binary64_16114` `flip3--_binary64_16109` `sub-neg_binary64_16098` `flip--_binary64_16080` `cancel-sign-sub-inv_binary64_16071`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/.f64 (.f64 x y) (.f64 a 2))
8.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
7.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
4.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 1856 to 835 computations (55% saved)

series1.2s (7.2%)

Error

5.7b

Counts

4 → 54

Calls

4 calls:

645.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
178.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
176.0ms	(/.f64 (.f64 x y) (.f64 a 2))
135.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 2046 to 1548 computations (24.3% saved)

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

629×	`associate-/r*_binary64_16049`
486×	`*-commutative_binary64_16036`
374×	`associate-/l/_binary64_16052`
263×	`associate-/r/_binary64_16051`
205×	`times-frac_binary64_16111`
161×	`sub-neg_binary64_16098`
151×	`associate-l_binary64_16046`
146×	`associate-/l*_binary64_16050`
126×	`distribute-rgt-neg-in_binary64_16063`
124×	`neg-sub0_binary64_16100`
121×	`neg-mul-1_binary64_16101`
110×	`distribute-lft-neg-in_binary64_16062`
108×	`associate-r_binary64_16045`
107×	`cancel-sign-sub-inv_binary64_16071`
94×	`associate-*l/_binary64_16048`
88×	`log-div_binary64_16192`
81×	`log-prod_binary64_16191`
78×	`distribute-neg-frac_binary64_16069`
76×	`cube-div_binary64_16134`
75×	`associate-*r/_binary64_16047`
63×	`cube-prod_binary64_16133`
53×	`exp-prod_binary64_16157`
49×	`+-commutative_binary64_16035`
45×	`unpow3_binary64_16171`
39×	`div-sub_binary64_16110`
35×	`unsub-neg_binary64_16099` `distribute-rgt-in_binary64_16055`
33×	`distribute-lft-in_binary64_16054`
31×	`sqr-pow_binary64_16077`
30×	`associate-+l-_binary64_16040`
25×	`cube-mult_binary64_16135`
24×	`associate-+r-_binary64_16039`
23×	`associate-+r+_binary64_16037`
22×	`associate-+l+_binary64_16038`
18×	`swap-sqr_binary64_16072`
17×	`exp-diff_binary64_16153` `distribute-lft-neg-out_binary64_16064`
16×	`*-rgt-identity_binary64_16095`
15×	`distribute-lft-out_binary64_16056`
14×	`distribute-rgt-out_binary64_16058`
13×	`associate--l+_binary64_16042`
11×	`associate--l-_binary64_16043` `associate--r+_binary64_16041`
9×	`exp-sum_binary64_16151`
7×	`cube-unmult_binary64_16142` `distribute-neg-in_binary64_16066`
6×	`*-lft-identity_binary64_16094`
5×	`exp-sqrt_binary64_16158`
3×	`mul-1-neg_binary64_16097` `/-rgt-identity_binary64_16096` `difference-of-squares_binary64_16074` `distribute-rgt-neg-out_binary64_16065` `associate--r-_binary64_16044`
2×	`log-rec_binary64_16193` `+-rgt-identity_binary64_16090`
1×	`unpow1/2_binary64_16169` `div-exp_binary64_16156` `rec-exp_binary64_16155` `1-exp_binary64_16149` `exp-1-e_binary64_16148` `sqr-neg_binary64_16119` `div0_binary64_16086` `distribute-lft-out--_binary64_16057`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16368` `erf-erfc_binary64_16367` `erf-odd_binary64_16366` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or-not_binary64_16363` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `not-gte_binary64_16357` `not-lte_binary64_16356` `not-gt_binary64_16355` `not-lt_binary64_16354` `gte-same_binary64_16353` `lte-same_binary64_16352` `gt-same_binary64_16351` `lt-same_binary64_16350` `sinh---cosh_binary64_16297` `sinh-+-cosh_binary64_16296` `sinh-cosh_binary64_16295` `tanh-def-c_binary64_16294` `tanh-def-b_binary64_16293` `tanh-def-a_binary64_16292` `cosh-def_binary64_16291` `sinh-def_binary64_16290` `tan-neg_binary64_16237` `cos-neg_binary64_16236` `sin-neg_binary64_16235` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `hang-m-tan_binary64_16231` `hang-p-tan_binary64_16230` `hang-m0-tan_binary64_16229` `hang-p0-tan_binary64_16228` `hang-0m-tan_binary64_16227` `hang-0p-tan_binary64_16226` `tan-+PI/2_binary64_16225` `tan-+PI_binary64_16224` `tan-PI_binary64_16223` `tan-PI/3_binary64_16222` `tan-PI/4_binary64_16221` `tan-PI/6_binary64_16220` `cos-+PI/2_binary64_16219` `cos-+PI_binary64_16218` `cos-PI_binary64_16217` `cos-PI/2_binary64_16216` `cos-PI/3_binary64_16215` `cos-PI/4_binary64_16214` `cos-PI/6_binary64_16213` `sin-+PI/2_binary64_16212` `sin-+PI_binary64_16211` `sin-PI_binary64_16210` `sin-PI/2_binary64_16209` `sin-PI/3_binary64_16208` `sin-PI/4_binary64_16207` `sin-PI/6_binary64_16206` `sub-1-sin_binary64_16205` `sub-1-cos_binary64_16204` `-1-add-sin_binary64_16203` `-1-add-cos_binary64_16202` `1-sub-sin_binary64_16201` `1-sub-cos_binary64_16200` `cos-sin-sum_binary64_16199` `log-E_binary64_16195` `log-pow_binary64_16194` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow2_binary64_16170` `pow-plus_binary64_16168` `exp-to-pow_binary64_16167` `pow-base-1_binary64_16165` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-lft-sqr_binary64_16160` `exp-cbrt_binary64_16159` `prod-exp_binary64_16154` `exp-neg_binary64_16152` `e-exp-1_binary64_16150` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `rem-exp-log_binary64_16145` `cube-neg_binary64_16132` `rem-3cbrt-rft_binary64_16131` `rem-3cbrt-lft_binary64_16130` `rem-cbrt-cube_binary64_16129` `rem-cube-cbrt_binary64_16128` `sqr-abs_binary64_16120` `rem-sqrt-square_binary64_16118` `rem-square-sqrt_binary64_16117` `remove-double-neg_binary64_16093` `sub0-neg_binary64_16092` `--rgt-identity_binary64_16091` `+-lft-identity_binary64_16089` `mul0-rgt_binary64_16088` `mul0-lft_binary64_16087` `*-inverses_binary64_16085` `+-inverses_binary64_16084` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `remove-double-div_binary64_16081` `pow-sqr_binary64_16078` `difference-of-sqr--1_binary64_16076` `difference-of-sqr-1_binary64_16075` `unswap-sqr_binary64_16073` `cancel-sign-sub_binary64_16070` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-rgt1-in_binary64_16061` `distribute-lft1-in_binary64_16060` `distribute-rgt-out--_binary64_16059` `count-2_binary64_16053`

Counts

136 → 79

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	1921
1	452	1815
2	1857	1815
3	4343	1815
4	4942	1815
5	4964	1815

prune87.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	81	7	88

Error

0.3b

Counts

88 → 7

Compiler

Compiled 1464 to 701 computations (52.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (.f64 (/.f64 (.f64 t z) a) 9/2))
0.2b	(.f64 (/.f64 (.f64 t z) a) 9/2)
3.9b	(/.f64 (*.f64 t z) a)
5.9b	(/.f64 x (/.f64 a (/.f64 y 2)))

rewrite496.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

402×	`times-frac_binary64_16111`
196×	`add-sqr-sqrt_binary64_16127`
194×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
47×	`associate-/r*_binary64_16049`
27×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
19×	`div-inv_binary64_16102`
10×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
7×	`associate-l_binary64_16046`
6×	`pow1_binary64_16166` `add-log-exp_binary64_16144`
5×	`associate-/r/_binary64_16051` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
4×	`associate-/l*_binary64_16050`
3×	`associate-r_binary64_16045`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `associate-*l/_binary64_16048`
1×	`pow-prod-down_binary64_16176` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036` `diff-log_binary64_16197` `frac-sub_binary64_16114` `flip3--_binary64_16109` `sub-neg_binary64_16098` `flip--_binary64_16080` `cancel-sign-sub-inv_binary64_16071`

Counts

4 → 257

Calls

4 calls:

49.0ms	(-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (.f64 (/.f64 (.f64 t z) a) 9/2))
14.0ms	(/.f64 x (/.f64 a (/.f64 y 2)))
7.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
5.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 7019 to 3441 computations (51% saved)

series1.2s (7.7%)

Error

0.3b

Counts

4 → 54

Calls

4 calls:

670.0ms	(-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (.f64 (/.f64 (.f64 t z) a) 9/2))
194.0ms	(/.f64 x (/.f64 a (/.f64 y 2)))
188.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
157.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 2046 to 1566 computations (23.5% saved)

simplify293.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

538×	`associate-/r/_binary64_16051`
432×	`associate-*l/_binary64_16048`
391×	`associate-/l/_binary64_16052`
377×	`*-commutative_binary64_16036`
369×	`associate-*r/_binary64_16047`
242×	`associate-/r*_binary64_16049`
221×	`associate-/l*_binary64_16050`
189×	`associate-r_binary64_16045`
142×	`associate-l_binary64_16046`
133×	`sub-neg_binary64_16098`
119×	`times-frac_binary64_16111`
111×	`*-rgt-identity_binary64_16095`
104×	`cancel-sign-sub-inv_binary64_16071`
77×	`sqr-pow_binary64_16077`
70×	`neg-sub0_binary64_16100`
67×	`neg-mul-1_binary64_16101`
65×	`log-div_binary64_16192`
63×	`cube-div_binary64_16134`
57×	`log-prod_binary64_16191` `cube-prod_binary64_16133`
37×	`+-lft-identity_binary64_16089`
36×	`unswap-sqr_binary64_16073`
30×	`exp-prod_binary64_16157`
26×	`unpow3_binary64_16171`
25×	`distribute-rgt-neg-in_binary64_16063`
24×	`*-lft-identity_binary64_16094`
23×	`cube-mult_binary64_16135`
22×	`+-commutative_binary64_16035`
21×	`distribute-lft-neg-in_binary64_16062`
19×	`remove-double-div_binary64_16081`
15×	`swap-sqr_binary64_16072`
14×	`div-sub_binary64_16110` `/-rgt-identity_binary64_16096`
13×	`pow-sqr_binary64_16078`
10×	`unsub-neg_binary64_16099`
9×	`distribute-neg-frac_binary64_16069`
7×	`cube-unmult_binary64_16142`
6×	`log-rec_binary64_16193` `exp-sum_binary64_16151`
5×	`remove-double-neg_binary64_16093` `div0_binary64_16086` `associate-+l+_binary64_16038` `associate-+r+_binary64_16037`
4×	`exp-diff_binary64_16153` `difference-of-squares_binary64_16074` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `associate--l+_binary64_16042` `associate-+r-_binary64_16039`
3×	`unpow1/2_binary64_16169` `rem-sqrt-square_binary64_16118` `mul-1-neg_binary64_16097` `distribute-neg-in_binary64_16066` `distribute-lft-neg-out_binary64_16064` `distribute-rgt-out_binary64_16058` `associate--r+_binary64_16041`
2×	`exp-sqrt_binary64_16158` `+-rgt-identity_binary64_16090` `associate--r-_binary64_16044` `associate-+l-_binary64_16040`
1×	`div-exp_binary64_16156` `1-exp_binary64_16149` `exp-1-e_binary64_16148`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16368` `erf-erfc_binary64_16367` `erf-odd_binary64_16366` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or-not_binary64_16363` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `not-gte_binary64_16357` `not-lte_binary64_16356` `not-gt_binary64_16355` `not-lt_binary64_16354` `gte-same_binary64_16353` `lte-same_binary64_16352` `gt-same_binary64_16351` `lt-same_binary64_16350` `sinh---cosh_binary64_16297` `sinh-+-cosh_binary64_16296` `sinh-cosh_binary64_16295` `tanh-def-c_binary64_16294` `tanh-def-b_binary64_16293` `tanh-def-a_binary64_16292` `cosh-def_binary64_16291` `sinh-def_binary64_16290` `tan-neg_binary64_16237` `cos-neg_binary64_16236` `sin-neg_binary64_16235` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `hang-m-tan_binary64_16231` `hang-p-tan_binary64_16230` `hang-m0-tan_binary64_16229` `hang-p0-tan_binary64_16228` `hang-0m-tan_binary64_16227` `hang-0p-tan_binary64_16226` `tan-+PI/2_binary64_16225` `tan-+PI_binary64_16224` `tan-PI_binary64_16223` `tan-PI/3_binary64_16222` `tan-PI/4_binary64_16221` `tan-PI/6_binary64_16220` `cos-+PI/2_binary64_16219` `cos-+PI_binary64_16218` `cos-PI_binary64_16217` `cos-PI/2_binary64_16216` `cos-PI/3_binary64_16215` `cos-PI/4_binary64_16214` `cos-PI/6_binary64_16213` `sin-+PI/2_binary64_16212` `sin-+PI_binary64_16211` `sin-PI_binary64_16210` `sin-PI/2_binary64_16209` `sin-PI/3_binary64_16208` `sin-PI/4_binary64_16207` `sin-PI/6_binary64_16206` `sub-1-sin_binary64_16205` `sub-1-cos_binary64_16204` `-1-add-sin_binary64_16203` `-1-add-cos_binary64_16202` `1-sub-sin_binary64_16201` `1-sub-cos_binary64_16200` `cos-sin-sum_binary64_16199` `log-E_binary64_16195` `log-pow_binary64_16194` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow2_binary64_16170` `pow-plus_binary64_16168` `exp-to-pow_binary64_16167` `pow-base-1_binary64_16165` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-lft-sqr_binary64_16160` `exp-cbrt_binary64_16159` `rec-exp_binary64_16155` `prod-exp_binary64_16154` `exp-neg_binary64_16152` `e-exp-1_binary64_16150` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `rem-exp-log_binary64_16145` `cube-neg_binary64_16132` `rem-3cbrt-rft_binary64_16131` `rem-3cbrt-lft_binary64_16130` `rem-cbrt-cube_binary64_16129` `rem-cube-cbrt_binary64_16128` `sqr-abs_binary64_16120` `sqr-neg_binary64_16119` `rem-square-sqrt_binary64_16117` `sub0-neg_binary64_16092` `--rgt-identity_binary64_16091` `mul0-rgt_binary64_16088` `mul0-lft_binary64_16087` `*-inverses_binary64_16085` `+-inverses_binary64_16084` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `difference-of-sqr--1_binary64_16076` `difference-of-sqr-1_binary64_16075` `cancel-sign-sub_binary64_16070` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-rgt-neg-out_binary64_16065` `distribute-rgt1-in_binary64_16061` `distribute-lft1-in_binary64_16060` `distribute-rgt-out--_binary64_16059` `distribute-lft-out--_binary64_16057` `distribute-lft-out_binary64_16056` `count-2_binary64_16053` `associate--l-_binary64_16043`

Counts

311 → 212

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	6682
1	1235	6521
2	4609	6520
3	4607	6520
4	4899	6520
5	4947	6520

prune251.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	212	7	219

Error

Counts

219 → 7

Compiler

Compiled 4839 to 2224 computations (54% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 y (sqrt.f64 2))
1.0b	(/.f64 1 (sqrt.f64 2))
3.9b	(/.f64 (*.f64 t z) a)
5.9b	(/.f64 x (/.f64 a (/.f64 y (sqrt.f64 2))))

rewrite1.2s (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

732×	`times-frac_binary64_16111`
356×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
132×	`sqrt-prod_binary64_16121`
86×	`associate-/r*_binary64_16049`
24×	`add-exp-log_binary64_16143`
22×	`add-cbrt-cube_binary64_16141`
20×	`div-inv_binary64_16102`
11×	`div-exp_binary64_16156`
10×	`cbrt-undiv_binary64_16139` `associate-/l*_binary64_16050`
6×	`pow1_binary64_16166`
5×	`associate-/r/_binary64_16051`
4×	`add-log-exp_binary64_16144` `frac-2neg_binary64_16116` `clear-num_binary64_16104`
3×	`pow-flip_binary64_16179`
1×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `inv-pow_binary64_16190` `pow1/2_binary64_16185` `sqrt-pow1_binary64_16123` `1-exp_binary64_16149` `rec-exp_binary64_16155`

Counts

4 → 409

Calls

4 calls:

24.0ms	(/.f64 x (/.f64 a (/.f64 y (sqrt.f64 2))))
5.0ms	(/.f64 (*.f64 t z) a)
5.0ms	(/.f64 1 (sqrt.f64 2))
4.0ms	(/.f64 y (sqrt.f64 2))

Compiler

Compiled 13970 to 8395 computations (39.9% saved)

series581.0ms (3.6%)

Error

Counts

4 → 21

Calls

4 calls:

327.0ms	(/.f64 x (/.f64 a (/.f64 y (sqrt.f64 2))))
164.0ms	(/.f64 (*.f64 t z) a)
67.0ms	(/.f64 y (sqrt.f64 2))
0.0ms	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 1323 to 1112 computations (15.9% saved)

simplify299.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-/r/_binary64_16051`
516×	`associate-/l/_binary64_16052`
488×	`associate-*l/_binary64_16048`
436×	`associate-*r/_binary64_16047`
410×	`*-commutative_binary64_16036`
308×	`associate-/r*_binary64_16049`
256×	`associate-/l*_binary64_16050`
148×	`times-frac_binary64_16111`
142×	`associate-r_binary64_16045`
90×	`associate-l_binary64_16046`
48×	`log-div_binary64_16192`
30×	`log-prod_binary64_16191`
22×	`cube-div_binary64_16134`
19×	`sub-neg_binary64_16098`
17×	`remove-double-div_binary64_16081`
15×	`/-rgt-identity_binary64_16096`
12×	`neg-mul-1_binary64_16101` `neg-sub0_binary64_16100`
11×	`cube-unmult_binary64_16142`
10×	`exp-prod_binary64_16157`
8×	`distribute-neg-frac_binary64_16069`
6×	`associate-+r-_binary64_16039` `associate-+r+_binary64_16037`
5×	`log-rec_binary64_16193` `swap-sqr_binary64_16072`
4×	`unswap-sqr_binary64_16073` `distribute-rgt-neg-in_binary64_16063`
3×	`distribute-neg-in_binary64_16066` `distribute-lft-neg-in_binary64_16062` `associate--r+_binary64_16041`
2×	`*-rgt-identity_binary64_16095` `cancel-sign-sub-inv_binary64_16071` `associate--r-_binary64_16044` `associate--l+_binary64_16042`
1×	`1-exp_binary64_16149` `rem-sqrt-square_binary64_16118` `rem-square-sqrt_binary64_16117` `div-sub_binary64_16110` `*-lft-identity_binary64_16094` `associate-+l+_binary64_16038` `+-commutative_binary64_16035`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_16368` `erf-erfc_binary64_16367` `erf-odd_binary64_16366` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or-not_binary64_16363` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `not-gte_binary64_16357` `not-lte_binary64_16356` `not-gt_binary64_16355` `not-lt_binary64_16354` `gte-same_binary64_16353` `lte-same_binary64_16352` `gt-same_binary64_16351` `lt-same_binary64_16350` `sinh---cosh_binary64_16297` `sinh-+-cosh_binary64_16296` `sinh-cosh_binary64_16295` `tanh-def-c_binary64_16294` `tanh-def-b_binary64_16293` `tanh-def-a_binary64_16292` `cosh-def_binary64_16291` `sinh-def_binary64_16290` `tan-neg_binary64_16237` `cos-neg_binary64_16236` `sin-neg_binary64_16235` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `hang-m-tan_binary64_16231` `hang-p-tan_binary64_16230` `hang-m0-tan_binary64_16229` `hang-p0-tan_binary64_16228` `hang-0m-tan_binary64_16227` `hang-0p-tan_binary64_16226` `tan-+PI/2_binary64_16225` `tan-+PI_binary64_16224` `tan-PI_binary64_16223` `tan-PI/3_binary64_16222` `tan-PI/4_binary64_16221` `tan-PI/6_binary64_16220` `cos-+PI/2_binary64_16219` `cos-+PI_binary64_16218` `cos-PI_binary64_16217` `cos-PI/2_binary64_16216` `cos-PI/3_binary64_16215` `cos-PI/4_binary64_16214` `cos-PI/6_binary64_16213` `sin-+PI/2_binary64_16212` `sin-+PI_binary64_16211` `sin-PI_binary64_16210` `sin-PI/2_binary64_16209` `sin-PI/3_binary64_16208` `sin-PI/4_binary64_16207` `sin-PI/6_binary64_16206` `sub-1-sin_binary64_16205` `sub-1-cos_binary64_16204` `-1-add-sin_binary64_16203` `-1-add-cos_binary64_16202` `1-sub-sin_binary64_16201` `1-sub-cos_binary64_16200` `cos-sin-sum_binary64_16199` `log-E_binary64_16195` `log-pow_binary64_16194` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow3_binary64_16171` `unpow2_binary64_16170` `unpow1/2_binary64_16169` `pow-plus_binary64_16168` `exp-to-pow_binary64_16167` `pow-base-1_binary64_16165` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-lft-sqr_binary64_16160` `exp-cbrt_binary64_16159` `exp-sqrt_binary64_16158` `div-exp_binary64_16156` `rec-exp_binary64_16155` `prod-exp_binary64_16154` `exp-diff_binary64_16153` `exp-neg_binary64_16152` `exp-sum_binary64_16151` `e-exp-1_binary64_16150` `exp-1-e_binary64_16148` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `rem-exp-log_binary64_16145` `cube-mult_binary64_16135` `cube-prod_binary64_16133` `cube-neg_binary64_16132` `rem-3cbrt-rft_binary64_16131` `rem-3cbrt-lft_binary64_16130` `rem-cbrt-cube_binary64_16129` `rem-cube-cbrt_binary64_16128` `sqr-abs_binary64_16120` `sqr-neg_binary64_16119` `unsub-neg_binary64_16099` `mul-1-neg_binary64_16097` `remove-double-neg_binary64_16093` `sub0-neg_binary64_16092` `--rgt-identity_binary64_16091` `+-rgt-identity_binary64_16090` `+-lft-identity_binary64_16089` `mul0-rgt_binary64_16088` `mul0-lft_binary64_16087` `div0_binary64_16086` `*-inverses_binary64_16085` `+-inverses_binary64_16084` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `pow-sqr_binary64_16078` `sqr-pow_binary64_16077` `difference-of-sqr--1_binary64_16076` `difference-of-sqr-1_binary64_16075` `difference-of-squares_binary64_16074` `cancel-sign-sub_binary64_16070` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-rgt-neg-out_binary64_16065` `distribute-lft-neg-out_binary64_16064` `distribute-rgt1-in_binary64_16061` `distribute-lft1-in_binary64_16060` `distribute-rgt-out--_binary64_16059` `distribute-rgt-out_binary64_16058` `distribute-lft-out--_binary64_16057` `distribute-lft-out_binary64_16056` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `count-2_binary64_16053` `associate--l-_binary64_16043` `associate-+l-_binary64_16040`

Counts

430 → 296

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	10493
1	1324	10218
2	4878	10218
3	4988	10218

prune577.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	296	7	303

Error

Counts

303 → 7

Compiler

Compiled 9195 to 5134 computations (44.2% saved)

regimes2.7s (16.6%)

Accuracy

Total 1.2b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 26122 to 21378 computations (18.2% saved)

bsearch5.0ms (0%)

Compiler: Compiled 9 to 10 computations (-11.1% saved)

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64_16036`
15×	`sub-neg_binary64_16098` `+-commutative_binary64_16035`
12×	`neg-mul-1_binary64_16101` `neg-sub0_binary64_16100` `distribute-rgt-neg-in_binary64_16063`
9×	`distribute-lft-neg-in_binary64_16062`
6×	`cancel-sign-sub-inv_binary64_16071`
3×	`distribute-neg-frac_binary64_16069` `distribute-lft-neg-out_binary64_16064`
1×	`if-if-or-not_binary64_16363` `1-exp_binary64_16149` `/-rgt-identity_binary64_16096`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_16365` `if-if-and_binary64_16364` `if-if-or_binary64_16362` `if-not_binary64_16361` `if-same_binary64_16360` `if-false_binary64_16359` `if-true_binary64_16358` `tan-0_binary64_16234` `cos-0_binary64_16233` `sin-0_binary64_16232` `unpow1_binary64_16163` `e-exp-1_binary64_16150` `exp-1-e_binary64_16148` `exp-0_binary64_16147` `sqr-abs_binary64_16120` `sqr-neg_binary64_16119` `unsub-neg_binary64_16099` `mul-1-neg_binary64_16097` `-rgt-identity_binary64_16095` `-lft-identity_binary64_16094` `remove-double-neg_binary64_16093` `sub0-neg_binary64_16092` `--rgt-identity_binary64_16091` `+-rgt-identity_binary64_16090` `+-lft-identity_binary64_16089` `cancel-sign-sub_binary64_16070` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-neg-in_binary64_16066` `distribute-rgt-neg-out_binary64_16065`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	82
1	63	82
2	103	82
3	130	82
4	148	82
5	154	82
6	153	82

Compiler

Compiled 220 to 152 computations (30.9% saved)

end0.0ms (0%)

sample3.2s (19.6%)

Algorithm

1×

intervals

Results

344.0ms	8000×	body	128	valid
140.0ms	3262×	body	128	invalid

Compiler

Compiled 2142 to 1748 computations (18.4% saved)

Details

analyze1.7s (10.4%)

sample45.0ms (0.3%)

simplify697.0ms (4.3%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite95.0ms (0.6%)

series1.1s (6.6%)

simplify87.0ms (0.5%)

prune100.0ms (0.6%)

localize11.0ms (0.1%)

rewrite135.0ms (0.8%)

series1.2s (7.2%)

simplify122.0ms (0.8%)

prune87.0ms (0.5%)

localize11.0ms (0.1%)

rewrite496.0ms (3.1%)

series1.2s (7.7%)

simplify293.0ms (1.8%)

prune251.0ms (1.6%)

localize15.0ms (0.1%)

rewrite1.2s (7.3%)

series581.0ms (3.6%)

simplify299.0ms (1.9%)

prune577.0ms (3.6%)

regimes2.7s (16.6%)

bsearch5.0ms (0%)

simplify48.0ms (0.3%)

end0.0ms (0%)

sample3.2s (19.6%)

Profiling