Details

analyze560.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

418×	`unsub-neg_binary64_23601`
265×	`associate--r+_binary64_23543`
234×	`distribute-rgt-in_binary64_23557`
225×	`sub-neg_binary64_23600`
196×	`distribute-lft-in_binary64_23556`
139×	`distribute-rgt-neg-out_binary64_23567`
136×	`associate--l+_binary64_23544`
134×	`associate-r_binary64_23547`
132×	`associate--r-_binary64_23546`
126×	`distribute-neg-in_binary64_23568`
125×	`distribute-lft-neg-out_binary64_23566` `associate-l_binary64_23548`
113×	`associate-+l+_binary64_23540`
106×	`neg-sub0_binary64_23602`
89×	`neg-mul-1_binary64_23603`
86×	`associate--l-_binary64_23545`
82×	`*-commutative_binary64_23538`
79×	`associate-+r-_binary64_23541`
73×	`associate-+l-_binary64_23542`
72×	`distribute-neg-out_binary64_23569`
61×	`cancel-sign-sub-inv_binary64_23573`
54×	`distribute-rgt-neg-in_binary64_23565` `+-commutative_binary64_23537`
44×	`mul0-rgt_binary64_23590` `mul0-lft_binary64_23589`
42×	`distribute-lft-neg-in_binary64_23564`
41×	`distribute-rgt-out--_binary64_23561`
38×	`remove-double-neg_binary64_23595`
26×	`*-rgt-identity_binary64_23597`
21×	`distribute-rgt-out_binary64_23560`
20×	`*-lft-identity_binary64_23596` `sub0-neg_binary64_23594`
14×	`--rgt-identity_binary64_23593`
12×	`+-rgt-identity_binary64_23592` `distribute-lft-out_binary64_23558`
9×	`distribute-lft1-in_binary64_23562`
8×	`associate-+r+_binary64_23539`
7×	`distribute-lft-out--_binary64_23559`
6×	`distribute-rgt1-in_binary64_23563`
3×	`+-lft-identity_binary64_23591`
1×	`1-exp_binary64_23651`
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_23870` `erf-erfc_binary64_23869` `erf-odd_binary64_23868` `if-if-and-not_binary64_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `not-gte_binary64_23859` `not-lte_binary64_23858` `not-gt_binary64_23857` `not-lt_binary64_23856` `gte-same_binary64_23855` `lte-same_binary64_23854` `gt-same_binary64_23853` `lt-same_binary64_23852` `sinh---cosh_binary64_23799` `sinh-+-cosh_binary64_23798` `sinh-cosh_binary64_23797` `tanh-def-c_binary64_23796` `tanh-def-b_binary64_23795` `tanh-def-a_binary64_23794` `cosh-def_binary64_23793` `sinh-def_binary64_23792` `tan-neg_binary64_23739` `cos-neg_binary64_23738` `sin-neg_binary64_23737` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `hang-m-tan_binary64_23733` `hang-p-tan_binary64_23732` `hang-m0-tan_binary64_23731` `hang-p0-tan_binary64_23730` `hang-0m-tan_binary64_23729` `hang-0p-tan_binary64_23728` `tan-+PI/2_binary64_23727` `tan-+PI_binary64_23726` `tan-PI_binary64_23725` `tan-PI/3_binary64_23724` `tan-PI/4_binary64_23723` `tan-PI/6_binary64_23722` `cos-+PI/2_binary64_23721` `cos-+PI_binary64_23720` `cos-PI_binary64_23719` `cos-PI/2_binary64_23718` `cos-PI/3_binary64_23717` `cos-PI/4_binary64_23716` `cos-PI/6_binary64_23715` `sin-+PI/2_binary64_23714` `sin-+PI_binary64_23713` `sin-PI_binary64_23712` `sin-PI/2_binary64_23711` `sin-PI/3_binary64_23710` `sin-PI/4_binary64_23709` `sin-PI/6_binary64_23708` `sub-1-sin_binary64_23707` `sub-1-cos_binary64_23706` `-1-add-sin_binary64_23705` `-1-add-cos_binary64_23704` `1-sub-sin_binary64_23703` `1-sub-cos_binary64_23702` `cos-sin-sum_binary64_23701` `log-E_binary64_23697` `log-pow_binary64_23696` `log-rec_binary64_23695` `log-div_binary64_23694` `log-prod_binary64_23693` `pow-base-0_binary64_23691` `unpow1/3_binary64_23674` `unpow3_binary64_23673` `unpow2_binary64_23672` `unpow1/2_binary64_23671` `pow-plus_binary64_23670` `exp-to-pow_binary64_23669` `pow-base-1_binary64_23667` `unpow0_binary64_23666` `unpow1_binary64_23665` `unpow-1_binary64_23664` `exp-lft-cube_binary64_23663` `exp-lft-sqr_binary64_23662` `exp-cbrt_binary64_23661` `exp-sqrt_binary64_23660` `exp-prod_binary64_23659` `div-exp_binary64_23658` `rec-exp_binary64_23657` `prod-exp_binary64_23656` `exp-diff_binary64_23655` `exp-neg_binary64_23654` `exp-sum_binary64_23653` `e-exp-1_binary64_23652` `exp-1-e_binary64_23650` `exp-0_binary64_23649` `rem-log-exp_binary64_23648` `rem-exp-log_binary64_23647` `cube-unmult_binary64_23644` `cube-mult_binary64_23637` `cube-div_binary64_23636` `cube-prod_binary64_23635` `cube-neg_binary64_23634` `rem-3cbrt-rft_binary64_23633` `rem-3cbrt-lft_binary64_23632` `rem-cbrt-cube_binary64_23631` `rem-cube-cbrt_binary64_23630` `sqr-abs_binary64_23622` `sqr-neg_binary64_23621` `rem-sqrt-square_binary64_23620` `rem-square-sqrt_binary64_23619` `times-frac_binary64_23613` `div-sub_binary64_23612` `mul-1-neg_binary64_23599` `/-rgt-identity_binary64_23598` `div0_binary64_23588` `-inverses_binary64_23587` `+-inverses_binary64_23586` `lft-mult-inverse_binary64_23585` `rgt-mult-inverse_binary64_23584` `remove-double-div_binary64_23583` `pow-sqr_binary64_23580` `sqr-pow_binary64_23579` `difference-of-sqr--1_binary64_23578` `difference-of-sqr-1_binary64_23577` `difference-of-squares_binary64_23576` `unswap-sqr_binary64_23575` `swap-sqr_binary64_23574` `cancel-sign-sub_binary64_23572` `distribute-neg-frac_binary64_23571` `distribute-frac-neg_binary64_23570` `count-2_binary64_23555` `associate-/l/_binary64_23554` `associate-/r/_binary64_23553` `associate-/l_binary64_23552` `associate-/r_binary64_23551` `associate-l/_binary64_23550` `associate-*r/_binary64_23549`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	136	52
3	341	52
4	936	52
5	1298	52
6	1500	52
7	1475	52
8	1513	52
9	1529	52
10	1717	52
11	1582	52
12	1628	52
13	1648	52
14	1640	52
15	1640	52
16	1272	52
17	1161	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample17.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

210×	`distribute-rgt-in_binary64_23557`
164×	`distribute-lft-in_binary64_23556`
146×	`unsub-neg_binary64_23601`
87×	`associate-r_binary64_23547`
86×	`associate-l_binary64_23548`
70×	`sub-neg_binary64_23600`
56×	`associate--r+_binary64_23543`
52×	`distribute-rgt-neg-out_binary64_23567`
48×	`distribute-lft-neg-out_binary64_23566`
39×	`cancel-sign-sub-inv_binary64_23573`
38×	`distribute-neg-in_binary64_23568`
36×	`neg-sub0_binary64_23602`
31×	`associate-+l-_binary64_23542`
30×	`neg-mul-1_binary64_23603`
28×	`distribute-rgt-neg-in_binary64_23565` `*-commutative_binary64_23538`
25×	`associate-+r+_binary64_23539`
23×	`mul0-rgt_binary64_23590` `mul0-lft_binary64_23589`
21×	`distribute-rgt-out--_binary64_23561`
18×	`associate-+l+_binary64_23540`
16×	`distribute-lft-neg-in_binary64_23564`
13×	`associate-+r-_binary64_23541` `+-commutative_binary64_23537`
12×	`associate--l+_binary64_23544`
11×	`-rgt-identity_binary64_23597` `-lft-identity_binary64_23596` `associate--r-_binary64_23546`
10×	`remove-double-neg_binary64_23595` `sub0-neg_binary64_23594`
7×	`associate--l-_binary64_23545`
6×	`distribute-lft1-in_binary64_23562`
5×	`--rgt-identity_binary64_23593` `distribute-rgt1-in_binary64_23563`
4×	`distribute-neg-out_binary64_23569` `distribute-rgt-out_binary64_23560`
2×	`mul-1-neg_binary64_23599` `+-rgt-identity_binary64_23592`
1×	`1-exp_binary64_23651` `+-lft-identity_binary64_23591` `distribute-lft-out--_binary64_23559`
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_23870` `erf-erfc_binary64_23869` `erf-odd_binary64_23868` `if-if-and-not_binary64_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `not-gte_binary64_23859` `not-lte_binary64_23858` `not-gt_binary64_23857` `not-lt_binary64_23856` `gte-same_binary64_23855` `lte-same_binary64_23854` `gt-same_binary64_23853` `lt-same_binary64_23852` `sinh---cosh_binary64_23799` `sinh-+-cosh_binary64_23798` `sinh-cosh_binary64_23797` `tanh-def-c_binary64_23796` `tanh-def-b_binary64_23795` `tanh-def-a_binary64_23794` `cosh-def_binary64_23793` `sinh-def_binary64_23792` `tan-neg_binary64_23739` `cos-neg_binary64_23738` `sin-neg_binary64_23737` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `hang-m-tan_binary64_23733` `hang-p-tan_binary64_23732` `hang-m0-tan_binary64_23731` `hang-p0-tan_binary64_23730` `hang-0m-tan_binary64_23729` `hang-0p-tan_binary64_23728` `tan-+PI/2_binary64_23727` `tan-+PI_binary64_23726` `tan-PI_binary64_23725` `tan-PI/3_binary64_23724` `tan-PI/4_binary64_23723` `tan-PI/6_binary64_23722` `cos-+PI/2_binary64_23721` `cos-+PI_binary64_23720` `cos-PI_binary64_23719` `cos-PI/2_binary64_23718` `cos-PI/3_binary64_23717` `cos-PI/4_binary64_23716` `cos-PI/6_binary64_23715` `sin-+PI/2_binary64_23714` `sin-+PI_binary64_23713` `sin-PI_binary64_23712` `sin-PI/2_binary64_23711` `sin-PI/3_binary64_23710` `sin-PI/4_binary64_23709` `sin-PI/6_binary64_23708` `sub-1-sin_binary64_23707` `sub-1-cos_binary64_23706` `-1-add-sin_binary64_23705` `-1-add-cos_binary64_23704` `1-sub-sin_binary64_23703` `1-sub-cos_binary64_23702` `cos-sin-sum_binary64_23701` `log-E_binary64_23697` `log-pow_binary64_23696` `log-rec_binary64_23695` `log-div_binary64_23694` `log-prod_binary64_23693` `pow-base-0_binary64_23691` `unpow1/3_binary64_23674` `unpow3_binary64_23673` `unpow2_binary64_23672` `unpow1/2_binary64_23671` `pow-plus_binary64_23670` `exp-to-pow_binary64_23669` `pow-base-1_binary64_23667` `unpow0_binary64_23666` `unpow1_binary64_23665` `unpow-1_binary64_23664` `exp-lft-cube_binary64_23663` `exp-lft-sqr_binary64_23662` `exp-cbrt_binary64_23661` `exp-sqrt_binary64_23660` `exp-prod_binary64_23659` `div-exp_binary64_23658` `rec-exp_binary64_23657` `prod-exp_binary64_23656` `exp-diff_binary64_23655` `exp-neg_binary64_23654` `exp-sum_binary64_23653` `e-exp-1_binary64_23652` `exp-1-e_binary64_23650` `exp-0_binary64_23649` `rem-log-exp_binary64_23648` `rem-exp-log_binary64_23647` `cube-unmult_binary64_23644` `cube-mult_binary64_23637` `cube-div_binary64_23636` `cube-prod_binary64_23635` `cube-neg_binary64_23634` `rem-3cbrt-rft_binary64_23633` `rem-3cbrt-lft_binary64_23632` `rem-cbrt-cube_binary64_23631` `rem-cube-cbrt_binary64_23630` `sqr-abs_binary64_23622` `sqr-neg_binary64_23621` `rem-sqrt-square_binary64_23620` `rem-square-sqrt_binary64_23619` `times-frac_binary64_23613` `div-sub_binary64_23612` `/-rgt-identity_binary64_23598` `div0_binary64_23588` `-inverses_binary64_23587` `+-inverses_binary64_23586` `lft-mult-inverse_binary64_23585` `rgt-mult-inverse_binary64_23584` `remove-double-div_binary64_23583` `pow-sqr_binary64_23580` `sqr-pow_binary64_23579` `difference-of-sqr--1_binary64_23578` `difference-of-sqr-1_binary64_23577` `difference-of-squares_binary64_23576` `unswap-sqr_binary64_23575` `swap-sqr_binary64_23574` `cancel-sign-sub_binary64_23572` `distribute-neg-frac_binary64_23571` `distribute-frac-neg_binary64_23570` `distribute-lft-out_binary64_23558` `count-2_binary64_23555` `associate-/l/_binary64_23554` `associate-/r/_binary64_23553` `associate-/l_binary64_23552` `associate-/r_binary64_23551` `associate-l/_binary64_23550` `associate-*r/_binary64_23549`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13

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

4.3b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
4.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite75.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

13×	`add-sqr-sqrt_binary64_23629`
9×	`-un-lft-identity_binary64_23607` `associate-l*_binary64_23548`
6×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643` `add-cube-cbrt_binary64_23642` `associate-r_binary64_23547`
2×	`pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `add-log-exp_binary64_23646` `cbrt-unprod_binary64_23640` `unswap-sqr_binary64_23575` `sub-neg_binary64_23600` `distribute-rgt-in_binary64_23557` `cancel-sign-sub-inv_binary64_23573` `distribute-lft-in_binary64_23556` `flip3--_binary64_23611` `associate-r/_binary64_23549` `flip--_binary64_23582` `-commutative_binary64_23538` `associate-*l/_binary64_23550` `difference-of-squares_binary64_23576`
1×	`distribute-lft-out--_binary64_23559`

Counts

2 → 47

Calls

2 calls:

10.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
7.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 771 to 543 computations (29.6% saved)

series285.0ms (2.3%)

Error

4.2b

Counts

2 → 24

Calls

2 calls:

190.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
76.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 551 to 379 computations (31.2% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-+r+_binary64_23539`
399×	`neg-mul-1_binary64_23603`
324×	`distribute-rgt-in_binary64_23557`
300×	`distribute-lft-in_binary64_23556`
186×	`+-commutative_binary64_23537`
169×	`distribute-rgt-neg-out_binary64_23567`
167×	`distribute-lft-neg-out_binary64_23566`
162×	`exp-prod_binary64_23659`
154×	`*-commutative_binary64_23538`
145×	`distribute-rgt-neg-in_binary64_23565`
137×	`exp-sum_binary64_23653`
128×	`distribute-lft-neg-in_binary64_23564`
111×	`associate-l_binary64_23548`
110×	`unsub-neg_binary64_23601`
107×	`cancel-sign-sub-inv_binary64_23573`
97×	`associate--r+_binary64_23543`
90×	`distribute-neg-in_binary64_23568`
89×	`associate-+l-_binary64_23542`
84×	`associate-r_binary64_23547`
78×	`neg-sub0_binary64_23602`
76×	`exp-diff_binary64_23655`
72×	`sub-neg_binary64_23600`
70×	`div-sub_binary64_23612`
46×	`associate-+r-_binary64_23541`
45×	`sqr-pow_binary64_23579`
43×	`*-lft-identity_binary64_23596`
40×	`*-rgt-identity_binary64_23597`
35×	`associate--l+_binary64_23544`
20×	`cube-prod_binary64_23635`
18×	`log-prod_binary64_23693`
16×	`associate-+l+_binary64_23540`
14×	`unswap-sqr_binary64_23575` `swap-sqr_binary64_23574`
12×	`sub0-neg_binary64_23594`
11×	`remove-double-neg_binary64_23595` `mul0-rgt_binary64_23590` `mul0-lft_binary64_23589`
8×	`pow-sqr_binary64_23580` `distribute-rgt-out--_binary64_23561`
7×	`sqr-neg_binary64_23621` `associate-/l*_binary64_23552`
6×	`+-rgt-identity_binary64_23592` `difference-of-sqr-1_binary64_23577` `distribute-rgt1-in_binary64_23563` `distribute-rgt-out_binary64_23560`
5×	`unpow3_binary64_23673` `exp-neg_binary64_23654` `cube-neg_binary64_23634` `associate--r-_binary64_23546`
4×	`unpow1/2_binary64_23671` `cube-unmult_binary64_23644` `rem-sqrt-square_binary64_23620` `associate--l-_binary64_23545`
3×	`distribute-neg-out_binary64_23569` `associate-*r/_binary64_23549`
2×	`cube-mult_binary64_23637` `times-frac_binary64_23613` `mul-1-neg_binary64_23599` `distribute-lft-out--_binary64_23559` `distribute-lft-out_binary64_23558` `associate-/l/_binary64_23554` `associate-/r*_binary64_23551`
1×	`pow-plus_binary64_23670` `1-exp_binary64_23651` `exp-1-e_binary64_23650` `+-lft-identity_binary64_23591` `count-2_binary64_23555` `associate-*l/_binary64_23550`
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_23870` `erf-erfc_binary64_23869` `erf-odd_binary64_23868` `if-if-and-not_binary64_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `not-gte_binary64_23859` `not-lte_binary64_23858` `not-gt_binary64_23857` `not-lt_binary64_23856` `gte-same_binary64_23855` `lte-same_binary64_23854` `gt-same_binary64_23853` `lt-same_binary64_23852` `sinh---cosh_binary64_23799` `sinh-+-cosh_binary64_23798` `sinh-cosh_binary64_23797` `tanh-def-c_binary64_23796` `tanh-def-b_binary64_23795` `tanh-def-a_binary64_23794` `cosh-def_binary64_23793` `sinh-def_binary64_23792` `tan-neg_binary64_23739` `cos-neg_binary64_23738` `sin-neg_binary64_23737` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `hang-m-tan_binary64_23733` `hang-p-tan_binary64_23732` `hang-m0-tan_binary64_23731` `hang-p0-tan_binary64_23730` `hang-0m-tan_binary64_23729` `hang-0p-tan_binary64_23728` `tan-+PI/2_binary64_23727` `tan-+PI_binary64_23726` `tan-PI_binary64_23725` `tan-PI/3_binary64_23724` `tan-PI/4_binary64_23723` `tan-PI/6_binary64_23722` `cos-+PI/2_binary64_23721` `cos-+PI_binary64_23720` `cos-PI_binary64_23719` `cos-PI/2_binary64_23718` `cos-PI/3_binary64_23717` `cos-PI/4_binary64_23716` `cos-PI/6_binary64_23715` `sin-+PI/2_binary64_23714` `sin-+PI_binary64_23713` `sin-PI_binary64_23712` `sin-PI/2_binary64_23711` `sin-PI/3_binary64_23710` `sin-PI/4_binary64_23709` `sin-PI/6_binary64_23708` `sub-1-sin_binary64_23707` `sub-1-cos_binary64_23706` `-1-add-sin_binary64_23705` `-1-add-cos_binary64_23704` `1-sub-sin_binary64_23703` `1-sub-cos_binary64_23702` `cos-sin-sum_binary64_23701` `log-E_binary64_23697` `log-pow_binary64_23696` `log-rec_binary64_23695` `log-div_binary64_23694` `pow-base-0_binary64_23691` `unpow1/3_binary64_23674` `unpow2_binary64_23672` `exp-to-pow_binary64_23669` `pow-base-1_binary64_23667` `unpow0_binary64_23666` `unpow1_binary64_23665` `unpow-1_binary64_23664` `exp-lft-cube_binary64_23663` `exp-lft-sqr_binary64_23662` `exp-cbrt_binary64_23661` `exp-sqrt_binary64_23660` `div-exp_binary64_23658` `rec-exp_binary64_23657` `prod-exp_binary64_23656` `e-exp-1_binary64_23652` `exp-0_binary64_23649` `rem-log-exp_binary64_23648` `rem-exp-log_binary64_23647` `cube-div_binary64_23636` `rem-3cbrt-rft_binary64_23633` `rem-3cbrt-lft_binary64_23632` `rem-cbrt-cube_binary64_23631` `rem-cube-cbrt_binary64_23630` `sqr-abs_binary64_23622` `rem-square-sqrt_binary64_23619` `/-rgt-identity_binary64_23598` `--rgt-identity_binary64_23593` `div0_binary64_23588` `*-inverses_binary64_23587` `+-inverses_binary64_23586` `lft-mult-inverse_binary64_23585` `rgt-mult-inverse_binary64_23584` `remove-double-div_binary64_23583` `difference-of-sqr--1_binary64_23578` `difference-of-squares_binary64_23576` `cancel-sign-sub_binary64_23572` `distribute-neg-frac_binary64_23571` `distribute-frac-neg_binary64_23570` `distribute-lft1-in_binary64_23562` `associate-/r/_binary64_23553`

Counts

71 → 51

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	859
1	238	805
2	684	805
3	1869	805
4	4368	805
5	4957	805

prune57.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Error

4.3b

Counts

52 → 7

Compiler

Compiled 837 to 452 computations (46% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 z y) 1)
0.0b	(-.f64 (+.f64 (*.f64 z y) 1) z)
4.1b	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))

rewrite81.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

14×	`add-sqr-sqrt_binary64_23629`
12×	`*-un-lft-identity_binary64_23607`
10×	`add-log-exp_binary64_23646`
9×	`cancel-sign-sub-inv_binary64_23573`
8×	`add-cube-cbrt_binary64_23642`
5×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `add-cbrt-cube_binary64_23643` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556` `associate-r_binary64_23547`
3×	`sub-neg_binary64_23600` `associate--l+_binary64_23544` `associate-l_binary64_23548`
2×	`flip3--_binary64_23611` `associate-*r/_binary64_23549` `flip--_binary64_23582` `difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559` `sum-log_binary64_23698` `diff-log_binary64_23699`
1×	`pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `unswap-sqr_binary64_23575` `*-commutative_binary64_23538` `flip3-+_binary64_23610` `flip-+_binary64_23581` `+-commutative_binary64_23537`

Counts

3 → 61

Calls

3 calls:

11.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
7.0ms	(-.f64 (+.f64 (*.f64 z y) 1) z)
4.0ms	(+.f64 (*.f64 z y) 1)

Compiler

Compiled 1026 to 513 computations (50% saved)

series378.0ms (3%)

Error

4.1b

Counts

3 → 39

Calls

3 calls:

200.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
91.0ms	(-.f64 (+.f64 (*.f64 z y) 1) z)
64.0ms	(+.f64 (*.f64 z y) 1)

Compiler

Compiled 811 to 548 computations (32.4% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

402×	`distribute-rgt-in_binary64_23557`
370×	`distribute-lft-in_binary64_23556`
343×	`neg-mul-1_binary64_23603`
335×	`+-commutative_binary64_23537`
230×	`exp-prod_binary64_23659`
218×	`unsub-neg_binary64_23601`
202×	`*-commutative_binary64_23538`
169×	`distribute-lft-neg-out_binary64_23566`
163×	`distribute-rgt-neg-out_binary64_23567`
112×	`associate-l_binary64_23548`
107×	`distribute-rgt-out_binary64_23560`
102×	`exp-sum_binary64_23653`
100×	`associate-+l-_binary64_23542`
96×	`exp-diff_binary64_23655`
95×	`cancel-sign-sub-inv_binary64_23573`
93×	`associate-r_binary64_23547`
86×	`times-frac_binary64_23613`
85×	`distribute-rgt-neg-in_binary64_23565`
69×	`associate-+l+_binary64_23540`
68×	`sub-neg_binary64_23600`
61×	`sqr-pow_binary64_23579`
60×	`neg-sub0_binary64_23602`
58×	`distribute-lft-neg-in_binary64_23564`
53×	`-rgt-identity_binary64_23597` `-lft-identity_binary64_23596` `associate-+r-_binary64_23541`
52×	`associate--l+_binary64_23544`
50×	`div-sub_binary64_23612` `associate-+r+_binary64_23539`
43×	`exp-neg_binary64_23654`
40×	`unswap-sqr_binary64_23575`
37×	`associate--r+_binary64_23543`
34×	`distribute-neg-in_binary64_23568`
31×	`cube-prod_binary64_23635`
26×	`distribute-rgt-out--_binary64_23561`
23×	`swap-sqr_binary64_23574` `associate-/l*_binary64_23552`
17×	`mul0-rgt_binary64_23590` `mul0-lft_binary64_23589`
16×	`distribute-rgt1-in_binary64_23563`
11×	`log-prod_binary64_23693` `distribute-lft1-in_binary64_23562` `distribute-lft-out_binary64_23558`
10×	`+-rgt-identity_binary64_23592` `pow-sqr_binary64_23580` `difference-of-squares_binary64_23576`
9×	`sqr-neg_binary64_23621` `rem-sqrt-square_binary64_23620`
8×	`sub0-neg_binary64_23594` `associate-/r*_binary64_23551`
6×	`unpow3_binary64_23673` `cube-unmult_binary64_23644`
5×	`unpow1/2_binary64_23671` `div-exp_binary64_23658` `distribute-neg-out_binary64_23569` `associate-/r/_binary64_23553` `associate-*r/_binary64_23549`
4×	`cube-mult_binary64_23637` `cube-neg_binary64_23634` `associate-/l/_binary64_23554`
3×	`mul-1-neg_binary64_23599` `remove-double-neg_binary64_23595` `associate--r-_binary64_23546`
2×	`pow-plus_binary64_23670` `difference-of-sqr-1_binary64_23577` `distribute-lft-out--_binary64_23559` `associate-*l/_binary64_23550` `associate--l-_binary64_23545`
1×	`prod-exp_binary64_23656` `1-exp_binary64_23651` `exp-1-e_binary64_23650` `rem-3cbrt-lft_binary64_23632` `rem-square-sqrt_binary64_23619` `count-2_binary64_23555`
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_23870` `erf-erfc_binary64_23869` `erf-odd_binary64_23868` `if-if-and-not_binary64_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `not-gte_binary64_23859` `not-lte_binary64_23858` `not-gt_binary64_23857` `not-lt_binary64_23856` `gte-same_binary64_23855` `lte-same_binary64_23854` `gt-same_binary64_23853` `lt-same_binary64_23852` `sinh---cosh_binary64_23799` `sinh-+-cosh_binary64_23798` `sinh-cosh_binary64_23797` `tanh-def-c_binary64_23796` `tanh-def-b_binary64_23795` `tanh-def-a_binary64_23794` `cosh-def_binary64_23793` `sinh-def_binary64_23792` `tan-neg_binary64_23739` `cos-neg_binary64_23738` `sin-neg_binary64_23737` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `hang-m-tan_binary64_23733` `hang-p-tan_binary64_23732` `hang-m0-tan_binary64_23731` `hang-p0-tan_binary64_23730` `hang-0m-tan_binary64_23729` `hang-0p-tan_binary64_23728` `tan-+PI/2_binary64_23727` `tan-+PI_binary64_23726` `tan-PI_binary64_23725` `tan-PI/3_binary64_23724` `tan-PI/4_binary64_23723` `tan-PI/6_binary64_23722` `cos-+PI/2_binary64_23721` `cos-+PI_binary64_23720` `cos-PI_binary64_23719` `cos-PI/2_binary64_23718` `cos-PI/3_binary64_23717` `cos-PI/4_binary64_23716` `cos-PI/6_binary64_23715` `sin-+PI/2_binary64_23714` `sin-+PI_binary64_23713` `sin-PI_binary64_23712` `sin-PI/2_binary64_23711` `sin-PI/3_binary64_23710` `sin-PI/4_binary64_23709` `sin-PI/6_binary64_23708` `sub-1-sin_binary64_23707` `sub-1-cos_binary64_23706` `-1-add-sin_binary64_23705` `-1-add-cos_binary64_23704` `1-sub-sin_binary64_23703` `1-sub-cos_binary64_23702` `cos-sin-sum_binary64_23701` `log-E_binary64_23697` `log-pow_binary64_23696` `log-rec_binary64_23695` `log-div_binary64_23694` `pow-base-0_binary64_23691` `unpow1/3_binary64_23674` `unpow2_binary64_23672` `exp-to-pow_binary64_23669` `pow-base-1_binary64_23667` `unpow0_binary64_23666` `unpow1_binary64_23665` `unpow-1_binary64_23664` `exp-lft-cube_binary64_23663` `exp-lft-sqr_binary64_23662` `exp-cbrt_binary64_23661` `exp-sqrt_binary64_23660` `rec-exp_binary64_23657` `e-exp-1_binary64_23652` `exp-0_binary64_23649` `rem-log-exp_binary64_23648` `rem-exp-log_binary64_23647` `cube-div_binary64_23636` `rem-3cbrt-rft_binary64_23633` `rem-cbrt-cube_binary64_23631` `rem-cube-cbrt_binary64_23630` `sqr-abs_binary64_23622` `/-rgt-identity_binary64_23598` `--rgt-identity_binary64_23593` `+-lft-identity_binary64_23591` `div0_binary64_23588` `*-inverses_binary64_23587` `+-inverses_binary64_23586` `lft-mult-inverse_binary64_23585` `rgt-mult-inverse_binary64_23584` `remove-double-div_binary64_23583` `difference-of-sqr--1_binary64_23578` `cancel-sign-sub_binary64_23572` `distribute-neg-frac_binary64_23571` `distribute-frac-neg_binary64_23570`

Counts

100 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1277
1	275	1202
2	822	1193
3	2356	1193
4	4136	1193
5	4977	1193

prune39.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Error

4.2b

Counts

49 → 7

Compiler

Compiled 649 to 293 computations (54.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
4.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
4.4b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
4.4b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

rewrite190.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

18×	`cbrt-div_binary64_23639`
13×	`cbrt-prod_binary64_23638` `add-sqr-sqrt_binary64_23629`
12×	`*-un-lft-identity_binary64_23607`
10×	`associate-*r/_binary64_23549`
9×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `flip3--_binary64_23611` `flip--_binary64_23582`
8×	`add-cube-cbrt_binary64_23642`
7×	`add-cbrt-cube_binary64_23643`
4×	`add-log-exp_binary64_23646` `frac-times_binary64_23617`
3×	`pow1/3_binary64_23689` `pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `associate-l_binary64_23548`
2×	`difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559` `associate-*l/_binary64_23550`
1×	`unswap-sqr_binary64_23575` `associate-r_binary64_23547` `*-commutative_binary64_23538`

Counts

4 → 70

Calls

4 calls:

20.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 2874 to 1755 computations (38.9% saved)

series3.2s (25.6%)

Error

4.2b

Counts

4 → 85

Calls

4 calls:

1.6s	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
382.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
371.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
370.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

Compiler

Compiled 14079 to 10917 computations (22.5% saved)

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

439×	`times-frac_binary64_23613`
419×	`associate-l_binary64_23548`
362×	`associate-/r*_binary64_23551`
283×	`associate-/l*_binary64_23552`
187×	`*-commutative_binary64_23538`
172×	`associate-*r/_binary64_23549`
158×	`associate-*l/_binary64_23550`
119×	`cancel-sign-sub-inv_binary64_23573` `+-commutative_binary64_23537`
107×	`sub-neg_binary64_23600`
73×	`associate-+r+_binary64_23539`
65×	`associate-r_binary64_23547`
64×	`sqr-pow_binary64_23579`
51×	`distribute-rgt-neg-in_binary64_23565`
48×	`distribute-neg-in_binary64_23568`
47×	`distribute-lft-neg-in_binary64_23564`
46×	`neg-mul-1_binary64_23603` `neg-sub0_binary64_23602`
40×	`distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`
35×	`associate-/r/_binary64_23553`
30×	`unswap-sqr_binary64_23575`
26×	`associate--l+_binary64_23544`
21×	`distribute-rgt-out_binary64_23560`
19×	`exp-prod_binary64_23659`
16×	`associate--r+_binary64_23543`
10×	`log-prod_binary64_23693` `swap-sqr_binary64_23574`
9×	`unpow1/3_binary64_23674`
7×	`distribute-neg-frac_binary64_23571` `distribute-lft-out_binary64_23558`
6×	`unpow3_binary64_23673` `unpow2_binary64_23672` `unpow1_binary64_23665` `cube-mult_binary64_23637`
5×	`cube-unmult_binary64_23644` `distribute-lft-neg-out_binary64_23566` `distribute-lft-out--_binary64_23559`
4×	`log-div_binary64_23694` `cube-prod_binary64_23635` `distribute-rgt-neg-out_binary64_23567` `distribute-rgt-out--_binary64_23561`
3×	`log-pow_binary64_23696` `*-lft-identity_binary64_23596`
2×	`log-rec_binary64_23695` `rem-3cbrt-lft_binary64_23632` `remove-double-neg_binary64_23595` `difference-of-squares_binary64_23576` `distribute-rgt1-in_binary64_23563`
1×	`1-exp_binary64_23651` `*-rgt-identity_binary64_23597` `count-2_binary64_23555` `associate-+l+_binary64_23540`
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_23870` `erf-erfc_binary64_23869` `erf-odd_binary64_23868` `if-if-and-not_binary64_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `not-gte_binary64_23859` `not-lte_binary64_23858` `not-gt_binary64_23857` `not-lt_binary64_23856` `gte-same_binary64_23855` `lte-same_binary64_23854` `gt-same_binary64_23853` `lt-same_binary64_23852` `sinh---cosh_binary64_23799` `sinh-+-cosh_binary64_23798` `sinh-cosh_binary64_23797` `tanh-def-c_binary64_23796` `tanh-def-b_binary64_23795` `tanh-def-a_binary64_23794` `cosh-def_binary64_23793` `sinh-def_binary64_23792` `tan-neg_binary64_23739` `cos-neg_binary64_23738` `sin-neg_binary64_23737` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `hang-m-tan_binary64_23733` `hang-p-tan_binary64_23732` `hang-m0-tan_binary64_23731` `hang-p0-tan_binary64_23730` `hang-0m-tan_binary64_23729` `hang-0p-tan_binary64_23728` `tan-+PI/2_binary64_23727` `tan-+PI_binary64_23726` `tan-PI_binary64_23725` `tan-PI/3_binary64_23724` `tan-PI/4_binary64_23723` `tan-PI/6_binary64_23722` `cos-+PI/2_binary64_23721` `cos-+PI_binary64_23720` `cos-PI_binary64_23719` `cos-PI/2_binary64_23718` `cos-PI/3_binary64_23717` `cos-PI/4_binary64_23716` `cos-PI/6_binary64_23715` `sin-+PI/2_binary64_23714` `sin-+PI_binary64_23713` `sin-PI_binary64_23712` `sin-PI/2_binary64_23711` `sin-PI/3_binary64_23710` `sin-PI/4_binary64_23709` `sin-PI/6_binary64_23708` `sub-1-sin_binary64_23707` `sub-1-cos_binary64_23706` `-1-add-sin_binary64_23705` `-1-add-cos_binary64_23704` `1-sub-sin_binary64_23703` `1-sub-cos_binary64_23702` `cos-sin-sum_binary64_23701` `log-E_binary64_23697` `pow-base-0_binary64_23691` `unpow1/2_binary64_23671` `pow-plus_binary64_23670` `exp-to-pow_binary64_23669` `pow-base-1_binary64_23667` `unpow0_binary64_23666` `unpow-1_binary64_23664` `exp-lft-cube_binary64_23663` `exp-lft-sqr_binary64_23662` `exp-cbrt_binary64_23661` `exp-sqrt_binary64_23660` `div-exp_binary64_23658` `rec-exp_binary64_23657` `prod-exp_binary64_23656` `exp-diff_binary64_23655` `exp-neg_binary64_23654` `exp-sum_binary64_23653` `e-exp-1_binary64_23652` `exp-1-e_binary64_23650` `exp-0_binary64_23649` `rem-log-exp_binary64_23648` `rem-exp-log_binary64_23647` `cube-div_binary64_23636` `cube-neg_binary64_23634` `rem-3cbrt-rft_binary64_23633` `rem-cbrt-cube_binary64_23631` `rem-cube-cbrt_binary64_23630` `sqr-abs_binary64_23622` `sqr-neg_binary64_23621` `rem-sqrt-square_binary64_23620` `rem-square-sqrt_binary64_23619` `div-sub_binary64_23612` `unsub-neg_binary64_23601` `mul-1-neg_binary64_23599` `/-rgt-identity_binary64_23598` `sub0-neg_binary64_23594` `--rgt-identity_binary64_23593` `+-rgt-identity_binary64_23592` `+-lft-identity_binary64_23591` `mul0-rgt_binary64_23590` `mul0-lft_binary64_23589` `div0_binary64_23588` `*-inverses_binary64_23587` `+-inverses_binary64_23586` `lft-mult-inverse_binary64_23585` `rgt-mult-inverse_binary64_23584` `remove-double-div_binary64_23583` `pow-sqr_binary64_23580` `difference-of-sqr--1_binary64_23578` `difference-of-sqr-1_binary64_23577` `cancel-sign-sub_binary64_23572` `distribute-frac-neg_binary64_23570` `distribute-neg-out_binary64_23569` `distribute-lft1-in_binary64_23562` `associate-/l/_binary64_23554` `associate--r-_binary64_23546` `associate--l-_binary64_23545` `associate-+l-_binary64_23542` `associate-+r-_binary64_23541`

Counts

155 → 130

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	9778
1	1757	9306
2	5145	9306

prune529.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Error

4.2b

Counts

137 → 8

Compiler

Compiled 8340 to 5475 computations (34.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (cbrt.f64 (+.f64 (.f64 z y) (-.f64 1 z)))) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)))
4.4b	(cbrt.f64 (+.f64 (*.f64 z y) (-.f64 1 z)))
4.4b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
4.4b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

rewrite188.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

18×	`cbrt-div_binary64_23639`
16×	`cbrt-prod_binary64_23638`
13×	`add-sqr-sqrt_binary64_23629` `*-un-lft-identity_binary64_23607`
9×	`pow1_binary64_23668` `add-exp-log_binary64_23645` `add-cube-cbrt_binary64_23642`
8×	`associate-r/_binary64_23549` `associate-r*_binary64_23547`
6×	`add-cbrt-cube_binary64_23643`
5×	`flip3--_binary64_23611` `flip--_binary64_23582`
4×	`add-log-exp_binary64_23646` `flip3-+_binary64_23610` `flip-+_binary64_23581` `frac-times_binary64_23617`
3×	`pow1/3_binary64_23689` `pow-prod-down_binary64_23678` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640`
2×	`difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559` `associate-*l/_binary64_23550`
1×	`associate-l_binary64_23548` `*-commutative_binary64_23538`

Counts

4 → 72

Calls

4 calls:

20.0ms	(.f64 (.f64 x (cbrt.f64 (+.f64 (.f64 z y) (-.f64 1 z)))) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
6.0ms	(cbrt.f64 (+.f64 (*.f64 z y) (-.f64 1 z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 2962 to 1818 computations (38.6% saved)

series3.3s (26%)

Error

4.2b

Counts

4 → 85

Calls

4 calls:

1.7s	(.f64 (.f64 x (cbrt.f64 (+.f64 (.f64 z y) (-.f64 1 z)))) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)))
379.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
366.0ms	(cbrt.f64 (+.f64 (*.f64 z y) (-.f64 1 z)))
365.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 14079 to 10917 computations (22.5% saved)

simplify231.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

463×	`times-frac_binary64_23613`
386×	`associate-/r*_binary64_23551`
289×	`associate-/l*_binary64_23552`
198×	`*-commutative_binary64_23538`
172×	`associate-*r/_binary64_23549`
158×	`associate-*l/_binary64_23550`
128×	`cancel-sign-sub-inv_binary64_23573`
123×	`+-commutative_binary64_23537`
113×	`sub-neg_binary64_23600`
72×	`associate-+r+_binary64_23539`
68×	`sqr-pow_binary64_23579`
61×	`distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`
57×	`distribute-rgt-neg-in_binary64_23565`
54×	`associate-r_binary64_23547`
51×	`distribute-lft-neg-in_binary64_23564`
50×	`neg-mul-1_binary64_23603` `neg-sub0_binary64_23602`
49×	`distribute-neg-in_binary64_23568`
45×	`associate-l_binary64_23548`
36×	`unswap-sqr_binary64_23575`
35×	`associate-/r/_binary64_23553`
29×	`exp-prod_binary64_23659`
26×	`associate--l+_binary64_23544`
24×	`exp-sum_binary64_23653`
21×	`distribute-rgt-out_binary64_23560`
20×	`log-prod_binary64_23693`
17×	`unpow1/3_binary64_23674` `swap-sqr_binary64_23574`
16×	`associate--r+_binary64_23543`
8×	`unpow3_binary64_23673` `exp-diff_binary64_23655` `cube-mult_binary64_23637`
7×	`log-pow_binary64_23696` `distribute-neg-frac_binary64_23571` `distribute-lft-neg-out_binary64_23566` `distribute-lft-out_binary64_23558`
6×	`unpow2_binary64_23672` `unpow1/2_binary64_23671` `unpow1_binary64_23665`
5×	`cube-unmult_binary64_23644` `cube-prod_binary64_23635` `distribute-rgt-out--_binary64_23561` `distribute-lft-out--_binary64_23559`
4×	`log-div_binary64_23694` `distribute-rgt-neg-out_binary64_23567`
3×	`rem-3cbrt-lft_binary64_23632` `-rgt-identity_binary64_23597` `-lft-identity_binary64_23596` `difference-of-squares_binary64_23576`
2×	`log-rec_binary64_23695` `remove-double-neg_binary64_23595` `distribute-rgt1-in_binary64_23563` `associate-+l+_binary64_23540`
1×	`1-exp_binary64_23651` `count-2_binary64_23555` `associate--r-_binary64_23546` `associate-+r-_binary64_23541`
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_23870` `erf-erfc_binary64_23869` `erf-odd_binary64_23868` `if-if-and-not_binary64_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `not-gte_binary64_23859` `not-lte_binary64_23858` `not-gt_binary64_23857` `not-lt_binary64_23856` `gte-same_binary64_23855` `lte-same_binary64_23854` `gt-same_binary64_23853` `lt-same_binary64_23852` `sinh---cosh_binary64_23799` `sinh-+-cosh_binary64_23798` `sinh-cosh_binary64_23797` `tanh-def-c_binary64_23796` `tanh-def-b_binary64_23795` `tanh-def-a_binary64_23794` `cosh-def_binary64_23793` `sinh-def_binary64_23792` `tan-neg_binary64_23739` `cos-neg_binary64_23738` `sin-neg_binary64_23737` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `hang-m-tan_binary64_23733` `hang-p-tan_binary64_23732` `hang-m0-tan_binary64_23731` `hang-p0-tan_binary64_23730` `hang-0m-tan_binary64_23729` `hang-0p-tan_binary64_23728` `tan-+PI/2_binary64_23727` `tan-+PI_binary64_23726` `tan-PI_binary64_23725` `tan-PI/3_binary64_23724` `tan-PI/4_binary64_23723` `tan-PI/6_binary64_23722` `cos-+PI/2_binary64_23721` `cos-+PI_binary64_23720` `cos-PI_binary64_23719` `cos-PI/2_binary64_23718` `cos-PI/3_binary64_23717` `cos-PI/4_binary64_23716` `cos-PI/6_binary64_23715` `sin-+PI/2_binary64_23714` `sin-+PI_binary64_23713` `sin-PI_binary64_23712` `sin-PI/2_binary64_23711` `sin-PI/3_binary64_23710` `sin-PI/4_binary64_23709` `sin-PI/6_binary64_23708` `sub-1-sin_binary64_23707` `sub-1-cos_binary64_23706` `-1-add-sin_binary64_23705` `-1-add-cos_binary64_23704` `1-sub-sin_binary64_23703` `1-sub-cos_binary64_23702` `cos-sin-sum_binary64_23701` `log-E_binary64_23697` `pow-base-0_binary64_23691` `pow-plus_binary64_23670` `exp-to-pow_binary64_23669` `pow-base-1_binary64_23667` `unpow0_binary64_23666` `unpow-1_binary64_23664` `exp-lft-cube_binary64_23663` `exp-lft-sqr_binary64_23662` `exp-cbrt_binary64_23661` `exp-sqrt_binary64_23660` `div-exp_binary64_23658` `rec-exp_binary64_23657` `prod-exp_binary64_23656` `exp-neg_binary64_23654` `e-exp-1_binary64_23652` `exp-1-e_binary64_23650` `exp-0_binary64_23649` `rem-log-exp_binary64_23648` `rem-exp-log_binary64_23647` `cube-div_binary64_23636` `cube-neg_binary64_23634` `rem-3cbrt-rft_binary64_23633` `rem-cbrt-cube_binary64_23631` `rem-cube-cbrt_binary64_23630` `sqr-abs_binary64_23622` `sqr-neg_binary64_23621` `rem-sqrt-square_binary64_23620` `rem-square-sqrt_binary64_23619` `div-sub_binary64_23612` `unsub-neg_binary64_23601` `mul-1-neg_binary64_23599` `/-rgt-identity_binary64_23598` `sub0-neg_binary64_23594` `--rgt-identity_binary64_23593` `+-rgt-identity_binary64_23592` `+-lft-identity_binary64_23591` `mul0-rgt_binary64_23590` `mul0-lft_binary64_23589` `div0_binary64_23588` `*-inverses_binary64_23587` `+-inverses_binary64_23586` `lft-mult-inverse_binary64_23585` `rgt-mult-inverse_binary64_23584` `remove-double-div_binary64_23583` `pow-sqr_binary64_23580` `difference-of-sqr--1_binary64_23578` `difference-of-sqr-1_binary64_23577` `cancel-sign-sub_binary64_23572` `distribute-frac-neg_binary64_23570` `distribute-neg-out_binary64_23569` `distribute-lft1-in_binary64_23562` `associate-/l/_binary64_23554` `associate--l-_binary64_23545` `associate-+l-_binary64_23542`

Counts

157 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	10083
1	1854	9526
2	4894	9343
3	4970	9343

prune474.0ms (3.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	134	8	142

Error

4.2b

Counts

142 → 8

Compiler

Compiled 8120 to 5216 computations (35.8% saved)

regimes1.0s (8.2%)

Accuracy

Total 0.2b remaining (5.1%)

Threshold costs 0.2b (5.1%)

Compiler

Compiled 8817 to 6982 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_23538`
5×	`+-commutative_binary64_23537`
4×	`sub-neg_binary64_23600`
3×	`neg-mul-1_binary64_23603` `neg-sub0_binary64_23602`
2×	`cancel-sign-sub-inv_binary64_23573` `distribute-rgt-neg-in_binary64_23565`
1×	`distribute-lft-neg-out_binary64_23566` `distribute-lft-neg-in_binary64_23564`
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_23867` `if-if-and_binary64_23866` `if-if-or-not_binary64_23865` `if-if-or_binary64_23864` `if-not_binary64_23863` `if-same_binary64_23862` `if-false_binary64_23861` `if-true_binary64_23860` `tan-0_binary64_23736` `cos-0_binary64_23735` `sin-0_binary64_23734` `unpow1_binary64_23665` `e-exp-1_binary64_23652` `1-exp_binary64_23651` `exp-1-e_binary64_23650` `exp-0_binary64_23649` `sqr-abs_binary64_23622` `sqr-neg_binary64_23621` `unsub-neg_binary64_23601` `mul-1-neg_binary64_23599` `/-rgt-identity_binary64_23598` `-rgt-identity_binary64_23597` `-lft-identity_binary64_23596` `remove-double-neg_binary64_23595` `sub0-neg_binary64_23594` `--rgt-identity_binary64_23593` `+-rgt-identity_binary64_23592` `+-lft-identity_binary64_23591` `cancel-sign-sub_binary64_23572` `distribute-neg-frac_binary64_23571` `distribute-frac-neg_binary64_23570` `distribute-neg-out_binary64_23569` `distribute-neg-in_binary64_23568` `distribute-rgt-neg-out_binary64_23567`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	18	16
2	28	16
3	34	16
4	38	16
5	39	16
6	39	16

end0.0ms (0%)

sample1.5s (12.1%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
18.0ms	673×	body	128	invalid

Compiler

Compiled 1189 to 922 computations (22.5% saved)

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13

Details

analyze560.0ms (4.5%)

sample17.0ms (0.1%)

simplify35.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite75.0ms (0.6%)

series285.0ms (2.3%)

simplify75.0ms (0.6%)

prune57.0ms (0.5%)

localize6.0ms (0.1%)

rewrite81.0ms (0.6%)

series378.0ms (3%)

simplify93.0ms (0.7%)

prune39.0ms (0.3%)

localize14.0ms (0.1%)

rewrite190.0ms (1.5%)

series3.2s (25.6%)

simplify164.0ms (1.3%)

prune529.0ms (4.2%)

localize18.0ms (0.1%)

rewrite188.0ms (1.5%)

series3.3s (26%)

simplify231.0ms (1.8%)

prune474.0ms (3.8%)

regimes1.0s (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (12.1%)

Profiling

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13