Details

analyze2.2s (14%)

Algorithm

1×	search
2×	egg-herbie

Rules

606×	`associate-r_binary64`
578×	`associate-l_binary64`
364×	`neg-mul-1_binary64`
352×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
323×	`distribute-neg-in_binary64`
293×	`cancel-sign-sub-inv_binary64`
252×	`sub-neg_binary64`
236×	`distribute-lft-neg-out_binary64`
178×	`neg-sub0_binary64`
168×	`distribute-rgt-neg-in_binary64`
145×	`+-commutative_binary64`
126×	`*-commutative_binary64`
122×	`distribute-rgt-neg-out_binary64`
50×	`distribute-lft-neg-in_binary64`
37×	`associate-+l-_binary64` `associate-+r-_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` `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` `unsub-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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1591
1	849	1591
2	2199	1591
3	4927	1591
4	5046	1591
0	9	9
1	9	9

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

Compiler

Compiled 30 to 24 computations (20% saved)

sample98.0ms (0.6%)

Algorithm

1×

intervals

Results

29.0ms	380×	body	128	invalid
25.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify789.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate--r-_binary64`
1091×	`sub-neg_binary64`
807×	`unsub-neg_binary64`
421×	`distribute-neg-in_binary64`
393×	`+-commutative_binary64`
344×	`distribute-rgt-in_binary64`
343×	`neg-sub0_binary64`
323×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out_binary64`
291×	`*-commutative_binary64`
281×	`neg-mul-1_binary64`
263×	`cancel-sign-sub-inv_binary64`
259×	`distribute-neg-out_binary64`
232×	`distribute-lft-in_binary64` `associate-+l+_binary64`
224×	`associate-+r-_binary64`
215×	`distribute-lft-neg-in_binary64` `associate-+l-_binary64`
200×	`distribute-rgt-out--_binary64`
185×	`distribute-lft-neg-out_binary64`
179×	`associate--l-_binary64`
175×	`associate--r+_binary64`
168×	`remove-double-neg_binary64`
161×	`associate--l+_binary64`
139×	`distribute-rgt-neg-out_binary64`
136×	`associate-l_binary64`
126×	`associate-r_binary64`
88×	`distribute-lft-out_binary64`
79×	`distribute-lft-out--_binary64`
72×	`mul0-rgt_binary64` `mul0-lft_binary64`
62×	`mul-1-neg_binary64`
61×	`sub0-neg_binary64`
54×	`associate-+r+_binary64`
36×	`*-rgt-identity_binary64`
31×	`*-lft-identity_binary64`
27×	`+-rgt-identity_binary64`
16×	`--rgt-identity_binary64`
8×	`cancel-sign-sub_binary64`
1×	`1-exp_binary64` `+-lft-identity_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	24	43
1	55	43
2	125	43
3	389	43
4	994	43
5	2361	43
6	2824	43
7	3291	43
8	3449	43
9	3379	43
10	3424	43
11	3420	43
12	3784	43
13	3991	43
14	4056	43
15	4061	43
16	4061	43
17	4063	43
18	4065	43
19	4065	43
20	4325	43
21	4117	43
22	4117	43
23	4117	43
24	4984	43
25	4565	43
26	4335	43
27	4665	43
28	4778	43
29	4794	43
30	4794	43
31	4794	43
32	4794	43
33	4794	43
34	4635	43

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

11.7b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 c z) (.f64 t i))
4.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite196.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

11.5b

Rules

16×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`associate-l_binary64` `associate-r_binary64`
7×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`diff-log_binary64`

Counts

4 → 84

Calls

4 calls:

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

Compiler

Compiled 2965 to 415 computations (86% saved)

series302.0ms (1.9%)

Error

2.3b

Counts

4 → 105

Calls

4 calls:

75.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
74.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
73.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
49.0ms	(-.f64 (.f64 c z) (.f64 t i))

Compiler

Compiled 5204 to 3846 computations (26.1% saved)

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

368×	`distribute-rgt-in_binary64`
361×	`distribute-lft-in_binary64`
302×	`exp-prod_binary64`
280×	`associate-l_binary64`
272×	`cancel-sign-sub-inv_binary64`
240×	`associate-r_binary64`
213×	`neg-mul-1_binary64`
150×	`*-commutative_binary64`
146×	`unsub-neg_binary64`
144×	`distribute-rgt-neg-in_binary64`
138×	`neg-sub0_binary64`
115×	`distribute-lft-neg-in_binary64`
114×	`exp-sum_binary64` `sqr-pow_binary64`
110×	`*-lft-identity_binary64`
106×	`*-rgt-identity_binary64`
104×	`sub-neg_binary64`
66×	`difference-of-squares_binary64`
60×	`swap-sqr_binary64`
56×	`distribute-lft-neg-out_binary64`
51×	`cube-prod_binary64`
43×	`exp-diff_binary64`
42×	`unswap-sqr_binary64`
36×	`times-frac_binary64`
35×	`mul0-rgt_binary64` `mul0-lft_binary64`
34×	`distribute-rgt-neg-out_binary64`
33×	`+-commutative_binary64`
29×	`div-sub_binary64`
27×	`log-prod_binary64`
18×	`pow-sqr_binary64` `distribute-rgt-out_binary64`
13×	`sqr-neg_binary64`
12×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
9×	`associate-+r+_binary64`
8×	`distribute-lft-out_binary64`
6×	`unpow1/2_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64`
4×	`mul-1-neg_binary64`
2×	`distribute-rgt-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `rec-exp_binary64` `prod-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` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_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`

Counts

189 → 147

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	196	2626
1	470	2443
2	1540	2443
3	3593	2443
4	4647	2443
5	4952	2443

prune113.0ms (0.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	129	18	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	18	148

Error

3.5b

Counts

148 → 18

Compiler

Compiled 3001 to 810 computations (73% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
2.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
4.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite460.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

22×	`pow1_binary64` `add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `*-un-lft-identity_binary64`
10×	`associate-l_binary64`
6×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `flip3--_binary64` `flip--_binary64` `-commutative_binary64` `associate-l/_binary64` `cbrt-prod_binary64`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
7.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 3976 to 472 computations (88.1% saved)

series428.0ms (2.7%)

Error

2.2b

Counts

4 → 108

Calls

4 calls:

151.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
81.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
78.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
77.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 6704 to 4602 computations (31.4% saved)

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

551×	`distribute-rgt-in_binary64`
544×	`distribute-lft-in_binary64`
373×	`associate-l_binary64`
350×	`associate-r_binary64`
177×	`*-commutative_binary64`
175×	`distribute-rgt-neg-in_binary64`
164×	`cancel-sign-sub-inv_binary64`
142×	`distribute-lft-neg-in_binary64`
82×	`distribute-lft-neg-out_binary64`
75×	`unswap-sqr_binary64`
71×	`exp-prod_binary64` `sqr-pow_binary64`
61×	`log-prod_binary64`
60×	`distribute-rgt-neg-out_binary64`
52×	`neg-sub0_binary64`
46×	`cube-prod_binary64`
44×	`neg-mul-1_binary64`
42×	`sub-neg_binary64`
41×	`*-rgt-identity_binary64` `swap-sqr_binary64`
40×	`*-lft-identity_binary64`
22×	`+-commutative_binary64`
20×	`exp-sum_binary64`
13×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
11×	`exp-diff_binary64` `mul-1-neg_binary64`
9×	`difference-of-squares_binary64`
6×	`pow-sqr_binary64` `distribute-neg-in_binary64` `associate-+r+_binary64`
5×	`div-sub_binary64` `associate-+l+_binary64`
4×	`log-pow_binary64` `pow-plus_binary64` `distribute-rgt-out--_binary64`
3×	`rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
2×	`unpow1/3_binary64` `unsub-neg_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_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` `unpow2_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_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` `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-+l-_binary64`

Counts

204 → 171

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	230	3590
1	574	2853
2	1965	2853
3	5158	2853

prune133.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	171	18	189

Error

3.5b

Counts

189 → 18

Compiler

Compiled 3217 to 787 computations (75.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.1b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
6.1b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
6.1b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

rewrite170.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `cbrt-prod_binary64` `*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 63

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

Compiler

Compiled 3548 to 417 computations (88.2% saved)

series479.0ms (3.1%)

Error

3.5b

Counts

4 → 87

Calls

4 calls:

107.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
102.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
99.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
83.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 12083 to 6916 computations (42.8% saved)

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

558×	`times-frac_binary64`
434×	`associate-/l*_binary64`
201×	`distribute-rgt-neg-in_binary64`
196×	`distribute-lft-neg-in_binary64`
185×	`associate-r_binary64`
182×	`cancel-sign-sub-inv_binary64`
166×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64`
159×	`associate-l_binary64`
139×	`associate-/r/_binary64`
131×	`exp-prod_binary64`
118×	`*-commutative_binary64`
81×	`distribute-neg-frac_binary64`
74×	`sub-neg_binary64`
71×	`sqr-pow_binary64`
58×	`neg-sub0_binary64`
56×	`neg-mul-1_binary64`
45×	`associate-/r*_binary64`
42×	`exp-sum_binary64` `associate-*r/_binary64`
34×	`unswap-sqr_binary64`
32×	`+-commutative_binary64`
30×	`distribute-lft-neg-out_binary64`
24×	`associate-*l/_binary64`
22×	`distribute-rgt-neg-out_binary64`
21×	`associate-/l/_binary64`
19×	`log-prod_binary64`
16×	`distribute-rgt-out_binary64`
15×	`unsub-neg_binary64`
14×	`cube-prod_binary64` `*-lft-identity_binary64` `distribute-lft-out_binary64`
13×	`unpow3_binary64` `*-rgt-identity_binary64`
12×	`swap-sqr_binary64`
11×	`exp-diff_binary64` `cube-mult_binary64`
10×	`unpow1/3_binary64` `div-sub_binary64` `distribute-neg-out_binary64`
8×	`log-div_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
7×	`difference-of-squares_binary64`
6×	`exp-to-pow_binary64`
4×	`log-pow_binary64` `log-rec_binary64` `cube-unmult_binary64` `remove-double-neg_binary64`
3×	`unpow1/2_binary64` `associate-+r+_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `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-frac-neg_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

150 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	3205
1	530	3091
2	1677	3031
3	4870	2971
4	4978	2971

prune158.0ms (1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	120	19	139

Error

3.5b

Counts

139 → 19

Compiler

Compiled 5119 to 1307 computations (74.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 b (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 z c) (.f64 t i))) (cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))) (cbrt.f64 (-.f64 (.f64 z c) (*.f64 t i)))))
5.6b	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
5.6b	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
5.6b	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))

rewrite253.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

60×	`cbrt-div_binary64`
34×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
14×	`associate-*l/_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

24.0ms	(.f64 b (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 z c) (.f64 t i))) (cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))) (cbrt.f64 (-.f64 (.f64 z c) (*.f64 t i)))))
6.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))

Compiler

Compiled 5881 to 689 computations (88.3% saved)

series514.0ms (3.3%)

Error

3.5b

Counts

4 → 93

Calls

4 calls:

110.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
110.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
107.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))
90.0ms	(.f64 b (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 z c) (.f64 t i))) (cbrt.f64 (-.f64 (.f64 z c) (.f64 t i)))) (cbrt.f64 (-.f64 (.f64 z c) (*.f64 t i)))))

Compiler

Compiled 12188 to 7047 computations (42.2% saved)

simplify175.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

689×	`times-frac_binary64`
235×	`associate-r_binary64`
222×	`associate-l_binary64`
219×	`distribute-rgt-neg-in_binary64`
215×	`distribute-lft-neg-in_binary64`
187×	`distribute-rgt-in_binary64`
186×	`distribute-lft-in_binary64`
181×	`*-commutative_binary64`
171×	`cancel-sign-sub-inv_binary64`
142×	`exp-prod_binary64`
119×	`distribute-neg-frac_binary64`
84×	`associate-/l*_binary64`
67×	`sub-neg_binary64`
65×	`sqr-pow_binary64`
58×	`neg-sub0_binary64`
56×	`associate-*r/_binary64`
53×	`neg-mul-1_binary64` `associate-/r*_binary64`
43×	`exp-sum_binary64`
38×	`unswap-sqr_binary64`
32×	`associate-*l/_binary64` `+-commutative_binary64`
30×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
23×	`distribute-rgt-neg-out_binary64`
19×	`distribute-rgt-out_binary64`
18×	`distribute-lft-out_binary64`
15×	`unsub-neg_binary64`
12×	`swap-sqr_binary64` `distribute-neg-out_binary64`
11×	`unpow3_binary64`
10×	`unpow1/3_binary64` `exp-diff_binary64` `cube-prod_binary64`
9×	`div-sub_binary64` `pow-sqr_binary64`
8×	`log-div_binary64` `distribute-neg-in_binary64` `associate-/r/_binary64` `associate--r-_binary64`
7×	`cube-unmult_binary64` `cube-mult_binary64` `mul-1-neg_binary64`
6×	`pow-plus_binary64` `exp-to-pow_binary64` `remove-double-neg_binary64` `associate-+r+_binary64`
5×	`associate-+l+_binary64`
4×	`log-pow_binary64` `log-rec_binary64`
3×	`rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `rem-cube-cbrt_binary64` `distribute-rgt1-in_binary64` `count-2_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` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

179 → 167

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	4997
1	615	4817
2	1941	4745
3	4903	4673
4	5046	4673

prune225.0ms (1.4%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	15	16
Picked	0	1	1
Done	0	2	2
Total	167	19	186

Error

3.5b

Counts

186 → 19

Compiler

Compiled 6560 to 1237 computations (81.1% saved)

regimes4.9s (31.4%)

Accuracy

Total 8.1b remaining (68.6%)

Threshold costs 0b (0%)

Compiler

Compiled 61186 to 41127 computations (32.8% saved)

bsearch184.0ms (1.2%)

Steps

Iters	Range		Point
8	3.629214380569931e-80	1.8316581181987506e-75	3.7318767100991856e-80
10	2.4470732661027325e-158	1.3081604404871538e-148	1.185801524217147e-153
7	5.746789728247465e-243	1.349173664216588e-241	1.1080664109400698e-241
4	-9.167549925656645e-113	-3.5929948691608984e-119	-3.7206181514558736e-113

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

203×	`distribute-rgt-neg-in_binary64`
190×	`cancel-sign-sub-inv_binary64`
137×	`distribute-lft-neg-in_binary64`
126×	`neg-mul-1_binary64` `neg-sub0_binary64`
113×	`distribute-lft-neg-out_binary64`
92×	`distribute-rgt-neg-out_binary64`
87×	`distribute-neg-out_binary64`
81×	`unsub-neg_binary64`
75×	`distribute-neg-in_binary64`
73×	`sub-neg_binary64`
66×	`*-commutative_binary64`
58×	`+-commutative_binary64`
39×	`remove-double-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` `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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	245
1	119	245
2	176	245
3	251	245
4	326	245
5	373	245
6	431	245
7	492	245
8	554	245
9	647	245
10	753	245
11	845	245
12	924	245
13	968	245
14	986	245
15	990	245
16	986	245

end5.0ms (0%)

Compiler: Compiled 165 to 55 computations (66.7% saved)

sample3.3s (21.2%)

Algorithm

1×

intervals

Results

885.0ms	11140×	body	128	invalid
658.0ms	8000×	body	128	valid

Compiler

Compiled 1094 to 678 computations (38% saved)

Iter	Nodes	Cost
0	58	245
1	119	245
2	176	245
3	251	245
4	326	245
5	373	245
6	431	245
7	492	245
8	554	245
9	647	245
10	753	245
11	845	245
12	924	245
13	968	245
14	986	245
15	990	245
16	986	245

Iter	Nodes	Cost
0	58	245
1	119	245
2	176	245
3	251	245
4	326	245
5	373	245
6	431	245
7	492	245
8	554	245
9	647	245
10	753	245
11	845	245
12	924	245
13	968	245
14	986	245
15	990	245
16	986	245

Details

analyze2.2s (14%)

sample98.0ms (0.6%)

simplify789.0ms (5.1%)

prune3.0ms (0%)

localize21.0ms (0.1%)

rewrite196.0ms (1.3%)

series302.0ms (1.9%)

simplify142.0ms (0.9%)

prune113.0ms (0.7%)

localize28.0ms (0.2%)

rewrite460.0ms (2.9%)

series428.0ms (2.7%)

simplify107.0ms (0.7%)

prune133.0ms (0.9%)

localize30.0ms (0.2%)

rewrite170.0ms (1.1%)

series479.0ms (3.1%)

simplify133.0ms (0.8%)

prune158.0ms (1%)

localize27.0ms (0.2%)

rewrite253.0ms (1.6%)

series514.0ms (3.3%)

simplify175.0ms (1.1%)

prune225.0ms (1.4%)

regimes4.9s (31.4%)

bsearch184.0ms (1.2%)

simplify46.0ms (0.3%)

end5.0ms (0%)

sample3.3s (21.2%)

Profiling

Iter	Nodes	Cost
0	58	245
1	119	245
2	176	245
3	251	245
4	326	245
5	373	245
6	431	245
7	492	245
8	554	245
9	647	245
10	753	245
11	845	245
12	924	245
13	968	245
14	986	245
15	990	245
16	986	245