Details

analyze256.0ms (9.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample34.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	94×	body	128	nan
3.0ms	57×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify424.0ms (15.9%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-/l/_binary64_16052`
404×	`exp-prod_binary64_16157`
370×	`associate-/r/_binary64_16051`
299×	`times-frac_binary64_16111`
254×	`distribute-rgt-in_binary64_16055`
226×	`associate-*l/_binary64_16048`
215×	`unswap-sqr_binary64_16073`
198×	`cancel-sign-sub-inv_binary64_16071`
189×	`associate--r+_binary64_16041`
183×	`div-sub_binary64_16110`
180×	`associate--l+_binary64_16042`
177×	`sub-neg_binary64_16098` `distribute-lft-in_binary64_16054`
172×	`*-commutative_binary64_16036`
167×	`distribute-rgt-out--_binary64_16059`
164×	`exp-sum_binary64_16151`
158×	`associate-*r/_binary64_16047`
154×	`associate--r-_binary64_16044` `associate--l-_binary64_16043`
153×	`swap-sqr_binary64_16072`
151×	`sqr-pow_binary64_16077`
139×	`associate-/l*_binary64_16050`
138×	`distribute-rgt-out_binary64_16058`
120×	`unsub-neg_binary64_16099`
114×	`distribute-rgt-neg-in_binary64_16063`
100×	`associate-/r*_binary64_16049`
99×	`associate-l_binary64_16046`
92×	`associate-r_binary64_16045`
82×	`exp-diff_binary64_16153` `pow-sqr_binary64_16078`
67×	`*-lft-identity_binary64_16094`
55×	`distribute-neg-in_binary64_16066`
53×	`distribute-frac-neg_binary64_16068`
50×	`distribute-lft-neg-out_binary64_16064`
47×	`neg-mul-1_binary64_16101`
46×	`distribute-rgt-neg-out_binary64_16065`
40×	`distribute-lft-neg-in_binary64_16062`
39×	`neg-sub0_binary64_16100`
33×	`*-rgt-identity_binary64_16095`
31×	`/-rgt-identity_binary64_16096`
30×	`associate-+l+_binary64_16038`
29×	`associate-+l-_binary64_16040`
25×	`distribute-neg-out_binary64_16067` `+-commutative_binary64_16035`
24×	`cube-prod_binary64_16133`
23×	`associate-+r+_binary64_16037`
21×	`pow-plus_binary64_16168`
19×	`distribute-rgt1-in_binary64_16061`
16×	`remove-double-div_binary64_16081`
14×	`associate-+r-_binary64_16039`
13×	`div-exp_binary64_16156`
12×	`remove-double-neg_binary64_16093`
11×	`+-inverses_binary64_16084`
10×	`cube-unmult_binary64_16142` `sub0-neg_binary64_16092`
8×	`prod-exp_binary64_16154` `+-lft-identity_binary64_16089`
6×	`+-rgt-identity_binary64_16090` `mul0-lft_binary64_16087` `count-2_binary64_16053`
5×	`exp-to-pow_binary64_16167` `exp-lft-sqr_binary64_16160`
4×	`log-prod_binary64_16191` `cube-div_binary64_16134` `mul0-rgt_binary64_16088` `difference-of-sqr--1_binary64_16076` `distribute-lft1-in_binary64_16060`
3×	`pow-base-1_binary64_16165` `exp-neg_binary64_16152` `div0_binary64_16086` `difference-of-squares_binary64_16074` `distribute-lft-out--_binary64_16057` `distribute-lft-out_binary64_16056`
2×	`exp-sqrt_binary64_16158` `sqr-neg_binary64_16119` `--rgt-identity_binary64_16091` `difference-of-sqr-1_binary64_16075`
1×	`1-exp_binary64_16149` `exp-1-e_binary64_16148` `rem-exp-log_binary64_16145` `cube-neg_binary64_16132` `*-inverses_binary64_16085` `distribute-neg-frac_binary64_16069`
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` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow3_binary64_16171` `unpow2_binary64_16170` `unpow1/2_binary64_16169` `unpow0_binary64_16164` `unpow1_binary64_16163` `unpow-1_binary64_16162` `exp-lft-cube_binary64_16161` `exp-cbrt_binary64_16159` `rec-exp_binary64_16155` `e-exp-1_binary64_16150` `exp-0_binary64_16147` `rem-log-exp_binary64_16146` `cube-mult_binary64_16135` `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` `mul-1-neg_binary64_16097` `lft-mult-inverse_binary64_16083` `rgt-mult-inverse_binary64_16082` `cancel-sign-sub_binary64_16070`

Counts

1 → 3

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	37	12
3	74	12
4	119	12
5	261	12
6	750	12
7	1659	12
8	3580	12

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

Counts

4 → 1

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (log.f64 y)))
0.3b	(*.f64 y (log.f64 y))

rewrite49.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`log-prod_binary64_16191`
10×	`add-sqr-sqrt_binary64_16127`
8×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
6×	`distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `associate-+r+_binary64_16037`
5×	`pow1_binary64_16166`
4×	`add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `associate-r_binary64_16045`
3×	`associate-l_binary64_16046`
1×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `log-pow_binary64_16194` `*-commutative_binary64_16036` `sum-log_binary64_16196` `flip3-+_binary64_16108` `flip-+_binary64_16079` `+-commutative_binary64_16035`

Counts

2 → 42

Calls

2 calls:

5.0ms	(*.f64 y (log.f64 y))
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))

Compiler

Compiled 652 to 239 computations (63.3% saved)

series350.0ms (13.2%)

Error

Counts

2 → 14

Calls

2 calls:

211.0ms	(+.f64 x (*.f64 y (log.f64 y)))
128.0ms	(*.f64 y (log.f64 y))

Compiler

Compiled 353 to 268 computations (24.1% saved)

simplify275.0ms (10.4%)

Algorithm

1×	egg-herbie

Rules

653×	`unsub-neg_binary64_16099` `associate-/l*_binary64_16050`
362×	`distribute-rgt-neg-out_binary64_16065`
327×	`distribute-lft-neg-out_binary64_16064`
212×	`associate-l_binary64_16046`
170×	`associate-r_binary64_16045`
152×	`unswap-sqr_binary64_16073`
147×	`associate-+l+_binary64_16038` `associate-+r+_binary64_16037`
131×	`distribute-rgt-neg-in_binary64_16063`
127×	`neg-sub0_binary64_16100`
125×	`sub-neg_binary64_16098` `distribute-rgt-in_binary64_16055`
121×	`neg-mul-1_binary64_16101`
116×	`*-commutative_binary64_16036`
112×	`distribute-lft-in_binary64_16054`
110×	`exp-prod_binary64_16157`
103×	`associate-/r/_binary64_16051`
102×	`div-sub_binary64_16110`
96×	`exp-sum_binary64_16151`
90×	`sqr-pow_binary64_16077`
88×	`distribute-lft-neg-in_binary64_16062`
77×	`distribute-rgt-out_binary64_16058`
72×	`distribute-neg-in_binary64_16066` `associate-*l/_binary64_16048`
60×	`exp-diff_binary64_16153` `distribute-frac-neg_binary64_16068`
54×	`associate--r+_binary64_16041`
51×	`log-prod_binary64_16191` `exp-to-pow_binary64_16167` `cancel-sign-sub-inv_binary64_16071`
47×	`pow-sqr_binary64_16078`
46×	`cube-prod_binary64_16133`
45×	`associate--l+_binary64_16042`
43×	`associate-/l/_binary64_16052`
42×	`distribute-rgt1-in_binary64_16061`
39×	`associate-+l-_binary64_16040`
37×	`-rgt-identity_binary64_16095` `-lft-identity_binary64_16094`
33×	`+-commutative_binary64_16035`
31×	`associate-+r-_binary64_16039`
28×	`associate--l-_binary64_16043`
26×	`remove-double-neg_binary64_16093`
24×	`mul0-rgt_binary64_16088` `mul0-lft_binary64_16087`
21×	`distribute-lft-out_binary64_16056`
18×	`log-div_binary64_16192` `distribute-rgt-out--_binary64_16059`
14×	`associate--r-_binary64_16044`
12×	`+-rgt-identity_binary64_16090` `swap-sqr_binary64_16072`
11×	`sub0-neg_binary64_16092`
10×	`pow-plus_binary64_16168`
9×	`log-pow_binary64_16194` `unpow3_binary64_16171`
8×	`cube-unmult_binary64_16142`
7×	`prod-exp_binary64_16154` `cube-div_binary64_16134` `cube-neg_binary64_16132` `sqr-neg_binary64_16119`
6×	`times-frac_binary64_16111`
5×	`+-lft-identity_binary64_16089` `count-2_binary64_16053`
4×	`log-rec_binary64_16193` `cube-mult_binary64_16135` `mul-1-neg_binary64_16097` `difference-of-squares_binary64_16074` `associate-/r_binary64_16049` `associate-r/_binary64_16047`
3×	`pow-base-1_binary64_16165` `div-exp_binary64_16156` `rem-exp-log_binary64_16145` `+-inverses_binary64_16084` `distribute-neg-frac_binary64_16069` `distribute-neg-out_binary64_16067` `distribute-lft1-in_binary64_16060`
2×	`exp-neg_binary64_16152` `/-rgt-identity_binary64_16096` `--rgt-identity_binary64_16091` `div0_binary64_16086` `distribute-lft-out--_binary64_16057`
1×	`rec-exp_binary64_16155` `1-exp_binary64_16149` `exp-1-e_binary64_16148` `rem-log-exp_binary64_16146` `*-inverses_binary64_16085` `rgt-mult-inverse_binary64_16082` `difference-of-sqr-1_binary64_16075` `cancel-sign-sub_binary64_16070`
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` `pow-base-0_binary64_16189` `unpow1/3_binary64_16172` `unpow2_binary64_16170` `unpow1/2_binary64_16169` `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` `e-exp-1_binary64_16150` `exp-0_binary64_16147` `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-mult-inverse_binary64_16083` `remove-double-div_binary64_16081` `difference-of-sqr--1_binary64_16076`

Counts

56 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	583
1	187	544
2	510	538
3	1209	538
4	2280	538

prune68.0ms (2.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	1	78

Error

Counts

78 → 1

Compiler

Compiled 1235 to 376 computations (69.6% saved)

regimes93.0ms (3.5%)

Accuracy

Total 0.0b remaining (92.8%)

Threshold costs 0.0b (92.8%)

Compiler

Compiled 305 to 308 computations (-1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_16035`
2×	`sub-neg_binary64_16098` `*-commutative_binary64_16036`
1×	`neg-mul-1_binary64_16101` `neg-sub0_binary64_16100`
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-not_binary64_16363` `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` `1-exp_binary64_16149` `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_16096` `-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-inv_binary64_16071` `cancel-sign-sub_binary64_16070` `distribute-neg-frac_binary64_16069` `distribute-frac-neg_binary64_16068` `distribute-neg-out_binary64_16067` `distribute-neg-in_binary64_16066` `distribute-rgt-neg-out_binary64_16065` `distribute-lft-neg-out_binary64_16064` `distribute-rgt-neg-in_binary64_16063` `distribute-lft-neg-in_binary64_16062`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	18	14
3	20	14
4	21	14

Proof

(exp f64 (- f64 (+ f64 h0 (* f64 h1 (log f64 h1))) h2))

end0.0ms (0%)

sample1.1s (41%)

Algorithm

1×

intervals

Results

396.0ms	8000×	body	128	valid
83.0ms	1826×	body	128	invalid
80.0ms	2349×	body	128	nan

Compiler

Compiled 63 to 62 computations (1.6% saved)

Details

analyze256.0ms (9.6%)

sample34.0ms (1.3%)

simplify424.0ms (15.9%)

prune6.0ms (0.2%)

localize8.0ms (0.3%)

rewrite49.0ms (1.9%)

series350.0ms (13.2%)

simplify275.0ms (10.4%)

prune68.0ms (2.6%)

regimes93.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.1s (41%)

Profiling