Details

analyze2.4s (16.6%)

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	306	1591
1	849	1591
2	2204	1591
3	4932	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)

sample100.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	362×	body	128	invalid
26.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify822.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate--r-_binary64`
1092×	`sub-neg_binary64`
809×	`unsub-neg_binary64`
419×	`distribute-neg-in_binary64`
395×	`+-commutative_binary64`
343×	`neg-sub0_binary64`
339×	`distribute-rgt-in_binary64`
323×	`distribute-rgt-neg-in_binary64`
322×	`distribute-rgt-out_binary64`
291×	`*-commutative_binary64`
281×	`neg-mul-1_binary64`
263×	`cancel-sign-sub-inv_binary64`
259×	`distribute-neg-out_binary64`
232×	`associate-+l+_binary64`
229×	`distribute-lft-in_binary64`
224×	`associate-+r-_binary64`
215×	`distribute-lft-neg-in_binary64` `associate-+l-_binary64`
199×	`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`
80×	`distribute-lft-out--_binary64`
72×	`mul0-rgt_binary64` `mul0-lft_binary64`
62×	`mul-1-neg_binary64` `sub0-neg_binary64`
54×	`associate-+r+_binary64`
36×	`*-rgt-identity_binary64`
31×	`*-lft-identity_binary64`
27×	`+-rgt-identity_binary64`
17×	`--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	2365	43
6	2811	43
7	3289	43
8	3447	43
9	3377	43
10	3422	43
11	3418	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

12.1b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 y z) (.f64 t a))
3.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite194.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

11.9b

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

Compiler

Compiled 2965 to 415 computations (86% saved)

series298.0ms (2.1%)

Error

3.0b

Counts

4 → 105

Calls

4 calls:

73.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
71.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
70.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
47.0ms	(-.f64 (.f64 y z) (.f64 t a))

Compiler

Compiled 5233 to 3853 computations (26.4% saved)

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

368×	`distribute-rgt-in_binary64`
361×	`distribute-lft-in_binary64`
298×	`exp-prod_binary64`
281×	`associate-l_binary64`
268×	`cancel-sign-sub-inv_binary64`
245×	`associate-r_binary64`
212×	`neg-mul-1_binary64`
153×	`*-commutative_binary64`
144×	`unsub-neg_binary64`
140×	`distribute-rgt-neg-in_binary64`
137×	`neg-sub0_binary64`
114×	`exp-sum_binary64` `sqr-pow_binary64`
111×	`distribute-lft-neg-in_binary64`
110×	`*-lft-identity_binary64`
106×	`*-rgt-identity_binary64`
104×	`sub-neg_binary64`
66×	`difference-of-squares_binary64`
61×	`swap-sqr_binary64`
56×	`distribute-lft-neg-out_binary64`
51×	`cube-prod_binary64`
42×	`exp-diff_binary64` `unswap-sqr_binary64`
36×	`times-frac_binary64`
35×	`mul0-rgt_binary64` `mul0-lft_binary64` `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` `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 → 150

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	200	2626
1	473	2443
2	1543	2443
3	3587	2443
4	4640	2443
5	4941	2443

prune120.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	136	14	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	14	151

Error

5.0b

Counts

151 → 14

Compiler

Compiled 2833 to 699 computations (75.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
5.1b	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
5.1b	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
5.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite153.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

8×	`add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l/_binary64` `cbrt-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `pow1/3_binary64` `cbrt-prod_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 → 57

Calls

4 calls:

7.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
5.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))

Compiler

Compiled 3411 to 331 computations (90.3% saved)

series631.0ms (4.4%)

Error

3.0b

Counts

4 → 102

Calls

4 calls:

149.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
148.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
148.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 z c) (*.f64 a i)) b))
78.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

Compiler

Compiled 15320 to 7848 computations (48.8% saved)

simplify148.0ms (1%)

Algorithm

1×	egg-herbie

Rules

699×	`times-frac_binary64`
254×	`distribute-rgt-neg-in_binary64`
244×	`distribute-lft-neg-in_binary64`
206×	`distribute-rgt-in_binary64`
203×	`cancel-sign-sub-inv_binary64`
188×	`associate-r_binary64`
169×	`associate-l_binary64`
154×	`exp-prod_binary64`
139×	`*-commutative_binary64`
96×	`distribute-neg-frac_binary64`
86×	`sub-neg_binary64` `sqr-pow_binary64`
79×	`unswap-sqr_binary64`
74×	`neg-sub0_binary64`
70×	`exp-sum_binary64`
68×	`neg-mul-1_binary64` `associate-/l*_binary64`
51×	`log-prod_binary64`
49×	`associate-/r*_binary64`
43×	`associate-*r/_binary64`
35×	`distribute-lft-neg-out_binary64`
33×	`+-commutative_binary64`
32×	`unsub-neg_binary64`
25×	`distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64`
21×	`distribute-lft-out_binary64`
18×	`div-sub_binary64` `distribute-rgt-out_binary64`
17×	`unpow1/3_binary64`
16×	`cube-prod_binary64` `*-lft-identity_binary64`
14×	`unpow3_binary64`
13×	`exp-diff_binary64` `*-rgt-identity_binary64` `distribute-neg-out_binary64`
12×	`exp-to-pow_binary64`
10×	`log-div_binary64` `cube-mult_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `associate--r-_binary64` `associate-+l+_binary64`
8×	`log-pow_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
7×	`associate-/r/_binary64`
6×	`difference-of-squares_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64` `remove-double-neg_binary64`
4×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `associate-+r+_binary64`
2×	`distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64`

Counts

159 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	3757
1	625	3643
2	2045	3562
3	4898	3490
4	5038	3490

prune188.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	135	14	149

Error

5.0b

Counts

149 → 14

Compiler

Compiled 6418 to 1315 computations (79.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
3.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
3.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite215.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

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)))
8.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

Compiler

Compiled 3976 to 471 computations (88.2% saved)

series417.0ms (2.9%)

Error

4.4b

Counts

4 → 108

Calls

4 calls:

147.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
77.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
75.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
75.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

Compiler

Compiled 6738 to 4605 computations (31.7% saved)

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

548×	`distribute-rgt-in_binary64`
542×	`distribute-lft-in_binary64`
373×	`associate-l_binary64`
353×	`associate-r_binary64`
179×	`*-commutative_binary64`
172×	`distribute-rgt-neg-in_binary64`
162×	`cancel-sign-sub-inv_binary64`
140×	`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`
59×	`distribute-rgt-neg-out_binary64`
51×	`neg-sub0_binary64`
46×	`cube-prod_binary64`
43×	`neg-mul-1_binary64`
42×	`sub-neg_binary64` `*-rgt-identity_binary64`
41×	`swap-sqr_binary64`
39×	`*-lft-identity_binary64`
22×	`+-commutative_binary64`
20×	`exp-sum_binary64`
13×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
12×	`mul-1-neg_binary64`
11×	`exp-diff_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 → 178

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	230	3590
1	575	2853
2	1964	2853
3	5142	2853

prune147.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	177	15	192

Error

4.2b

Counts

192 → 15

Compiler

Compiled 3263 to 719 computations (78% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 a t))))
5.9b	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
5.9b	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
5.9b	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))

rewrite210.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

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`
8×	`associate-*r/_binary64`
6×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 83

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
6.0ms	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
6.0ms	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 a t))))

Compiler

Compiled 4646 to 454 computations (90.2% saved)

series453.0ms (3.2%)

Error

4.2b

Counts

4 → 103

Calls

4 calls:

136.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) (*.f64 a t))))
81.0ms	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
80.0ms	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))
79.0ms	(.f64 x (-.f64 (.f64 z y) (*.f64 a t)))

Compiler

Compiled 11359 to 5916 computations (47.9% saved)

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-/l*_binary64`
436×	`times-frac_binary64`
199×	`distribute-rgt-in_binary64`
197×	`distribute-lft-in_binary64`
186×	`associate-/r/_binary64`
177×	`distribute-lft-neg-in_binary64`
176×	`distribute-rgt-neg-in_binary64`
171×	`exp-prod_binary64`
149×	`associate-r_binary64`
145×	`cancel-sign-sub-inv_binary64`
135×	`associate-l_binary64`
112×	`distribute-neg-frac_binary64`
103×	`*-commutative_binary64`
92×	`log-prod_binary64`
74×	`sub-neg_binary64`
73×	`exp-sum_binary64`
62×	`sqr-pow_binary64`
54×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
49×	`associate-*r/_binary64`
45×	`associate-/r*_binary64`
33×	`unsub-neg_binary64`
28×	`associate-*l/_binary64`
27×	`distribute-lft-neg-out_binary64` `+-commutative_binary64`
25×	`associate-/l/_binary64`
22×	`distribute-lft-out_binary64`
21×	`distribute-rgt-neg-out_binary64`
18×	`distribute-rgt-out_binary64`
17×	`unpow1/3_binary64`
16×	`-rgt-identity_binary64` `-lft-identity_binary64`
14×	`distribute-neg-out_binary64`
13×	`log-div_binary64` `exp-to-pow_binary64` `exp-diff_binary64`
12×	`div-sub_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
10×	`associate--r-_binary64` `associate-+l+_binary64`
9×	`unswap-sqr_binary64`
8×	`cube-prod_binary64` `associate--l+_binary64`
7×	`unpow3_binary64` `cube-mult_binary64`
6×	`cube-unmult_binary64`
5×	`log-rec_binary64` `remove-double-neg_binary64`
4×	`log-pow_binary64` `pow-plus_binary64` `mul-1-neg_binary64` `associate-+r+_binary64`
3×	`difference-of-squares_binary64`
2×	`distribute-lft-out--_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_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` `unpow2_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` `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` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64`

Counts

186 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	3147
1	508	2941
2	1757	2913
3	4926	2889
4	5118	2889

prune83.0ms (0.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	111	15	126

Error

4.2b

Counts

126 → 15

Compiler

Compiled 2392 to 404 computations (83.1% saved)

regimes3.7s (25.9%)

Accuracy

Total 7.6b remaining (65.4%)

Threshold costs 0b (0%)

Compiler

Compiled 48346 to 33717 computations (30.3% saved)

bsearch98.0ms (0.7%)

Steps

Iters	Range		Point
9	1.2664033907823772e-193	1.0990758628968702e-187	1.7514960221405596e-189
6	-2.3330089544632207e-234	-1.7739735758637921e-248	-4.583420487501315e-242

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

188×	`distribute-rgt-neg-in_binary64`
165×	`cancel-sign-sub-inv_binary64`
127×	`distribute-lft-neg-in_binary64`
112×	`neg-sub0_binary64`
111×	`neg-mul-1_binary64`
95×	`distribute-lft-neg-out_binary64`
79×	`distribute-rgt-neg-out_binary64`
70×	`distribute-neg-in_binary64`
69×	`unsub-neg_binary64`
66×	`distribute-neg-out_binary64`
63×	`sub-neg_binary64`
60×	`*-commutative_binary64`
53×	`+-commutative_binary64`
38×	`remove-double-neg_binary64`
1×	`1-exp_binary64` `mul-1-neg_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` `/-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: 2 (0.0ms)

Iter	Nodes	Cost
0	49	143
1	105	143
2	162	141
3	241	141
4	319	141
5	368	141
6	422	141
7	485	141
8	549	141
9	621	141
10	691	141
11	758	141
12	819	141
13	861	141
14	882	141
15	888	141
16	884	141

end1.0ms (0%)

Compiler: Compiled 95 to 45 computations (52.6% saved)

sample3.4s (23.7%)

Algorithm

1×

intervals

Results

969.0ms	10987×	body	128	invalid
707.0ms	8000×	body	128	valid

Compiler

Compiled 856 to 546 computations (36.2% saved)

Iter	Nodes	Cost
0	49	143
1	105	143
2	162	141
3	241	141
4	319	141
5	368	141
6	422	141
7	485	141
8	549	141
9	621	141
10	691	141
11	758	141
12	819	141
13	861	141
14	882	141
15	888	141
16	884	141

Iter	Nodes	Cost
0	49	143
1	105	143
2	162	141
3	241	141
4	319	141
5	368	141
6	422	141
7	485	141
8	549	141
9	621	141
10	691	141
11	758	141
12	819	141
13	861	141
14	882	141
15	888	141
16	884	141

Details

analyze2.4s (16.6%)

sample100.0ms (0.7%)

simplify822.0ms (5.8%)

prune3.0ms (0%)

localize30.0ms (0.2%)

rewrite194.0ms (1.4%)

series298.0ms (2.1%)

simplify137.0ms (1%)

prune120.0ms (0.8%)

localize29.0ms (0.2%)

rewrite153.0ms (1.1%)

series631.0ms (4.4%)

simplify148.0ms (1%)

prune188.0ms (1.3%)

localize32.0ms (0.2%)

rewrite215.0ms (1.5%)

series417.0ms (2.9%)

simplify104.0ms (0.7%)

prune147.0ms (1%)

localize29.0ms (0.2%)

rewrite210.0ms (1.5%)

series453.0ms (3.2%)

simplify130.0ms (0.9%)

prune83.0ms (0.6%)

regimes3.7s (25.9%)

bsearch98.0ms (0.7%)

simplify38.0ms (0.3%)

end1.0ms (0%)

sample3.4s (23.7%)

Profiling

Iter	Nodes	Cost
0	49	143
1	105	143
2	162	141
3	241	141
4	319	141
5	368	141
6	422	141
7	485	141
8	549	141
9	621	141
10	691	141
11	758	141
12	819	141
13	861	141
14	882	141
15	888	141
16	884	141