Details

analyze2.2s (20.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

618×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
548×	`cancel-sign-sub-inv_binary64`
443×	`neg-mul-1_binary64`
407×	`associate-r_binary64`
384×	`distribute-neg-in_binary64`
330×	`associate-l_binary64`
237×	`distribute-rgt-neg-out_binary64`
224×	`distribute-rgt-neg-in_binary64`
215×	`unsub-neg_binary64`
201×	`distribute-lft-neg-in_binary64`
194×	`neg-sub0_binary64`
156×	`sub-neg_binary64`
100×	`*-commutative_binary64`
93×	`+-commutative_binary64`
52×	`associate--l+_binary64`
46×	`distribute-lft-neg-out_binary64`
38×	`associate--r+_binary64`
23×	`associate-+l+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	812
1	490	812
2	1460	812
3	4141	812
4	4875	812
5	5144	812
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 20 to 19 computations (5% saved)

sample84.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
15.0ms	261×	body	128	invalid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify655.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1149×	`distribute-rgt-in_binary64`
1082×	`distribute-lft-in_binary64`
1054×	`unsub-neg_binary64`
545×	`sub-neg_binary64`
514×	`associate-l_binary64`
397×	`neg-sub0_binary64`
392×	`neg-mul-1_binary64`
337×	`associate-r_binary64`
321×	`*-commutative_binary64`
311×	`distribute-rgt-neg-in_binary64`
298×	`distribute-rgt-neg-out_binary64`
290×	`distribute-lft-neg-out_binary64`
263×	`cancel-sign-sub-inv_binary64`
248×	`associate--r+_binary64`
243×	`associate-+l-_binary64`
233×	`remove-double-neg_binary64`
229×	`distribute-lft-neg-in_binary64`
221×	`distribute-neg-in_binary64`
211×	`associate--r-_binary64`
190×	`associate--l+_binary64`
185×	`cancel-sign-sub_binary64`
160×	`+-commutative_binary64`
152×	`distribute-neg-out_binary64`
96×	`mul0-rgt_binary64` `mul0-lft_binary64`
74×	`distribute-rgt-out--_binary64`
66×	`associate-+r+_binary64`
60×	`distribute-rgt-out_binary64`
57×	`associate--l-_binary64`
56×	`associate-+l+_binary64`
54×	`sub0-neg_binary64`
35×	`associate-+r-_binary64`
34×	`--rgt-identity_binary64`
29×	`distribute-lft-out_binary64`
17×	`+-rgt-identity_binary64`
14×	`*-lft-identity_binary64`
12×	`*-rgt-identity_binary64`
3×	`+-lft-identity_binary64` `distribute-lft-out--_binary64`
2×	`mul-1-neg_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	36	28
2	87	28
3	248	28
4	655	28
5	1249	28
6	1775	28
7	2054	28
8	2399	28
9	2680	28
10	2590	28
11	2598	28
12	2602	28
13	2732	28
14	2891	28
15	2892	28
16	2894	28
17	2894	28
18	4426	28
19	3042	28
20	3050	28
21	3062	28
22	3066	28
23	3066	28
24	3074	28
25	3130	28
26	3278	28
27	3342	28
28	3330	28
29	3330	28
30	3330	28
31	3370	28
32	3339	28
33	3339	28
34	2851	28
35	2662	28

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

6.1b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
9.2b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite129.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.5b

Rules

14×	`associate-*l/_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `frac-sub_binary64`
2×	`*-commutative_binary64` `sum-log_binary64` `diff-log_binary64`
1×	`unswap-sqr_binary64` `+-commutative_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2127 to 441 computations (79.3% saved)

series378.0ms (3.5%)

Error

1.3b

Counts

4 → 114

Calls

4 calls:

197.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
61.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
44.0ms	(+.f64 (.f64 x y) (.f64 z t))
39.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 3605 to 3341 computations (7.3% saved)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

422×	`cancel-sign-sub-inv_binary64`
310×	`distribute-rgt-neg-in_binary64`
262×	`distribute-lft-neg-in_binary64`
253×	`neg-sub0_binary64`
250×	`neg-mul-1_binary64`
249×	`associate-l_binary64`
229×	`associate-r_binary64`
188×	`associate-+l+_binary64`
171×	`times-frac_binary64`
161×	`exp-prod_binary64`
145×	`+-commutative_binary64`
141×	`associate-+r+_binary64`
127×	`*-commutative_binary64`
110×	`distribute-rgt-in_binary64`
102×	`distribute-lft-in_binary64`
91×	`exp-sum_binary64`
74×	`exp-diff_binary64`
69×	`sub-neg_binary64`
68×	`distribute-lft-neg-out_binary64`
62×	`distribute-rgt-out_binary64` `associate--l+_binary64`
61×	`sqr-pow_binary64`
57×	`associate--r+_binary64`
52×	`cube-prod_binary64`
50×	`unswap-sqr_binary64`
39×	`associate-+l-_binary64`
36×	`distribute-neg-in_binary64`
35×	`log-prod_binary64`
32×	`associate-+r-_binary64`
28×	`distribute-rgt-neg-out_binary64`
24×	`swap-sqr_binary64` `distribute-lft-out_binary64`
22×	`distribute-rgt-out--_binary64`
18×	`*-lft-identity_binary64`
17×	`unpow3_binary64`
13×	`cube-mult_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64`
9×	`associate-/l*_binary64`
5×	`div-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`pow-sqr_binary64` `associate-/r*_binary64`
3×	`unpow1/2_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64`
2×	`log-pow_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate-/r/_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

183 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3575
1	515	3152
2	1930	3128
3	4071	3128
4	5008	3128

prune80.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	137	8	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Error

1.2b

Counts

146 → 8

Compiler

Compiled 1849 to 525 computations (71.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 i)
1.6b	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
1.7b	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
2.7b	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))

rewrite156.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

32×	`pow1_binary64` `add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`associate-l/_binary64` `associate-r*_binary64`
7×	`associate-l_binary64`
6×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `pow1/3_binary64`

Counts

4 → 84

Calls

4 calls:

16.0ms	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))
12.0ms	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
9.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
1.0ms	(cbrt.f64 i)

Compiler

Compiled 2621 to 500 computations (80.9% saved)

series374.0ms (3.5%)

Error

1.2b

Counts

4 → 66

Calls

4 calls:

140.0ms	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
123.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
67.0ms	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))
17.0ms	(cbrt.f64 i)

Compiler

Compiled 3251 to 2809 computations (13.6% saved)

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

615×	`distribute-lft-in_binary64`
612×	`distribute-rgt-in_binary64`
341×	`associate-l_binary64`
308×	`associate-r_binary64`
301×	`log-prod_binary64`
207×	`exp-prod_binary64`
149×	`unswap-sqr_binary64`
145×	`*-commutative_binary64`
144×	`cube-prod_binary64`
111×	`exp-sum_binary64`
65×	`associate-+l+_binary64`
63×	`distribute-rgt-neg-in_binary64`
56×	`neg-sub0_binary64` `sqr-pow_binary64`
54×	`swap-sqr_binary64` `associate-+r+_binary64`
52×	`distribute-lft-neg-in_binary64`
51×	`neg-mul-1_binary64`
31×	`+-commutative_binary64`
29×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
22×	`unpow3_binary64`
21×	`log-pow_binary64`
19×	`cube-mult_binary64`
17×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
16×	`unsub-neg_binary64`
15×	`distribute-rgt-neg-out_binary64`
12×	`*-rgt-identity_binary64`
11×	`-lft-identity_binary64` `associate-/l_binary64`
9×	`cube-unmult_binary64` `distribute-lft-out_binary64`
8×	`pow-plus_binary64`
7×	`exp-diff_binary64` `rem-sqrt-square_binary64`
6×	`mul-1-neg_binary64`
5×	`cube-neg_binary64` `sqr-neg_binary64` `pow-sqr_binary64`
4×	`unpow1/2_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
3×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `associate-+r-_binary64`
2×	`exp-neg_binary64` `remove-double-neg_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `div-sub_binary64` `difference-of-squares_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

150 → 128

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	3091
1	389	2199
2	1540	2099
3	4204	2099
4	4883	2099
5	5007	2099

prune68.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	128	8	136

Error

1.2b

Counts

136 → 8

Compiler

Compiled 1628 to 624 computations (61.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
8.1b	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
8.1b	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
8.1b	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))

rewrite126.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

16×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`cbrt-div_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 57

Calls

4 calls:

7.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
5.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
5.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
5.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))

Compiler

Compiled 2698 to 412 computations (84.7% saved)

series530.0ms (4.9%)

Error

1.2b

Counts

4 → 84

Calls

4 calls:

125.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
123.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
120.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
70.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

Compiler

Compiled 11462 to 6545 computations (42.9% saved)

simplify134.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

487×	`distribute-rgt-in_binary64`
473×	`distribute-lft-in_binary64`
269×	`times-frac_binary64`
245×	`associate-/l*_binary64`
175×	`associate-/r*_binary64`
165×	`associate-r_binary64`
151×	`associate-l_binary64`
127×	`*-commutative_binary64`
85×	`log-prod_binary64`
78×	`associate-/r/_binary64`
75×	`exp-sum_binary64`
71×	`sqr-pow_binary64`
66×	`unswap-sqr_binary64`
53×	`cancel-sign-sub-inv_binary64`
50×	`sub-neg_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`exp-prod_binary64`
36×	`distribute-lft-neg-in_binary64`
32×	`neg-sub0_binary64`
30×	`+-commutative_binary64`
28×	`neg-mul-1_binary64`
25×	`unsub-neg_binary64`
22×	`associate-l/_binary64` `associate-r/_binary64`
21×	`distribute-lft-neg-out_binary64`
15×	`log-div_binary64`
14×	`distribute-rgt-neg-out_binary64`
13×	`swap-sqr_binary64`
12×	`unpow1/3_binary64`
11×	`log-pow_binary64` `associate-+l+_binary64`
10×	`cube-prod_binary64` `pow-sqr_binary64` `associate-/l/_binary64`
9×	`distribute-neg-in_binary64`
8×	`exp-diff_binary64` `div-sub_binary64` `associate--l+_binary64`
7×	`distribute-rgt-out_binary64`
6×	`cube-unmult_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate-+r+_binary64`
5×	`exp-to-pow_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
4×	`log-rec_binary64` `unpow3_binary64` `mul-1-neg_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

141 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3539
1	554	3333
2	1586	3196
3	4970	3196
4	5011	3196

prune134.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	124	9	133

Error

1.2b

Counts

133 → 9

Compiler

Compiled 4747 to 1126 computations (76.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.1b	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
8.1b	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
8.1b	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
8.1b	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))

rewrite115.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

8×	`cbrt-div_binary64`
6×	`associate-*l/_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `flip3-+_binary64` `flip-+_binary64` `cbrt-prod_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `associate-r/_binary64`

Counts

4 → 44

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
6.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
5.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
5.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))

Compiler

Compiled 3376 to 393 computations (88.4% saved)

series656.0ms (6.1%)

Error

1.2b

Counts

4 → 84

Calls

4 calls:

133.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
132.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
131.0ms	(cbrt.f64 (.f64 (+.f64 a (.f64 c b)) (*.f64 i c)))
130.0ms	(cbrt.f64 (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))

Compiler

Compiled 18488 to 8713 computations (52.9% saved)

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-r_binary64`
465×	`associate-l_binary64`
331×	`exp-sum_binary64`
269×	`times-frac_binary64`
243×	`associate-/l*_binary64`
217×	`*-commutative_binary64`
175×	`associate-/r*_binary64`
135×	`exp-prod_binary64`
125×	`exp-diff_binary64`
108×	`distribute-rgt-in_binary64`
102×	`distribute-lft-in_binary64`
90×	`associate-*l/_binary64`
81×	`log-prod_binary64`
78×	`associate-/r/_binary64`
73×	`associate-*r/_binary64`
62×	`log-div_binary64`
60×	`sqr-pow_binary64`
59×	`+-commutative_binary64`
55×	`sub-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
53×	`associate-+r-_binary64`
48×	`unswap-sqr_binary64`
45×	`distribute-rgt-neg-in_binary64`
40×	`associate--l+_binary64`
38×	`log-pow_binary64`
37×	`distribute-lft-neg-in_binary64`
36×	`associate-+r+_binary64`
33×	`neg-sub0_binary64` `associate-+l+_binary64`
31×	`exp-to-pow_binary64`
30×	`associate--r-_binary64`
29×	`neg-mul-1_binary64`
24×	`unsub-neg_binary64`
23×	`associate-+l-_binary64`
22×	`distribute-lft-neg-out_binary64`
20×	`unpow1/3_binary64` `exp-neg_binary64` `rem-exp-log_binary64`
19×	`log-rec_binary64`
14×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
12×	`associate--r+_binary64`
10×	`cube-unmult_binary64` `associate-/l/_binary64`
9×	`distribute-neg-in_binary64`
8×	`unpow3_binary64` `div-sub_binary64` `pow-sqr_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`exp-lft-sqr_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64`
5×	`pow-plus_binary64` `cube-mult_binary64` `distribute-lft-out_binary64`
4×	`mul-1-neg_binary64` `distribute-rgt-out_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
2×	`rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

128 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	3736
1	478	3624
2	1197	3460
3	4170	2980
4	4893	2980
5	4971	2980

prune158.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	115	9	124

Error

1.2b

Counts

124 → 9

Compiler

Compiled 6324 to 965 computations (84.7% saved)

regimes2.2s (20.2%)

Accuracy

Total 1.1b remaining (57.2%)

Threshold costs 0b (0%)

Compiler

Compiled 33699 to 26566 computations (21.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
11×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-rgt-neg-in_binary64`
5×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	32	28
2	46	28
3	69	28
4	83	28
5	92	28
6	95	28
7	95	28

end26.0ms (0.2%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 95 to 90 computations (5.3% saved)

sample2.0s (18.9%)

Algorithm

1×

intervals

Results

495.0ms	8000×	body	128	valid
414.0ms	7039×	body	128	invalid

Compiler

Compiled 320 to 264 computations (17.5% saved)

Details

analyze2.2s (20.6%)

sample84.0ms (0.8%)

simplify655.0ms (6.1%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite129.0ms (1.2%)

series378.0ms (3.5%)

simplify131.0ms (1.2%)

prune80.0ms (0.7%)

localize19.0ms (0.2%)

rewrite156.0ms (1.5%)

series374.0ms (3.5%)

simplify139.0ms (1.3%)

prune68.0ms (0.6%)

localize23.0ms (0.2%)

rewrite126.0ms (1.2%)

series530.0ms (4.9%)

simplify134.0ms (1.2%)

prune134.0ms (1.2%)

localize37.0ms (0.3%)

rewrite115.0ms (1.1%)

series656.0ms (6.1%)

simplify168.0ms (1.6%)

prune158.0ms (1.5%)

regimes2.2s (20.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end26.0ms (0.2%)

sample2.0s (18.9%)

Profiling