Details

analyze2.4s (13.9%)

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)

sample97.0ms (0.6%)

Algorithm

1×

intervals

Results

33.0ms	376×	body	128	invalid
19.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify789.0ms (4.6%)

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

12.2b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 c z) (.f64 i a))
5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite193.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

12.0b

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

Compiler

Compiled 2965 to 415 computations (86% saved)

series305.0ms (1.8%)

Error

3.8b

Counts

4 → 105

Calls

4 calls:

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

Compiler

Compiled 5231 to 3849 computations (26.4% saved)

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

368×	`distribute-rgt-in_binary64`
361×	`distribute-lft-in_binary64`
299×	`exp-prod_binary64`
281×	`associate-l_binary64`
268×	`cancel-sign-sub-inv_binary64`
245×	`associate-r_binary64`
212×	`neg-mul-1_binary64`
151×	`*-commutative_binary64`
144×	`unsub-neg_binary64`
141×	`distribute-rgt-neg-in_binary64`
137×	`neg-sub0_binary64`
114×	`exp-sum_binary64` `sqr-pow_binary64`
112×	`distribute-lft-neg-in_binary64`
110×	`*-lft-identity_binary64`
106×	`*-rgt-identity_binary64`
103×	`sub-neg_binary64`
66×	`difference-of-squares_binary64`
61×	`swap-sqr_binary64`
55×	`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 → 146

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	197	2626
1	472	2443
2	1544	2443
3	3588	2443
4	4641	2443
5	4943	2443

prune125.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	123	23	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	23	147

Error

3.7b

Counts

147 → 23

Compiler

Compiled 2966 to 904 computations (69.5% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0b	(cbrt.f64 (.f64 (-.f64 (.f64 c t) (*.f64 i y)) j))
7.0b	(cbrt.f64 (.f64 (-.f64 (.f64 c t) (*.f64 i y)) j))
7.0b	(cbrt.f64 (.f64 (-.f64 (.f64 c t) (*.f64 i y)) j))

rewrite208.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

Rules

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

Calls

4 calls:

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

Compiler

Compiled 3411 to 299 computations (91.2% saved)

series675.0ms (4%)

Error

3.7b

Counts

4 → 102

Calls

4 calls:

155.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 c t) (*.f64 i y)) j))
153.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 c t) (*.f64 i y)) j))
151.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 c t) (*.f64 i y)) j))
79.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

Compiler

Compiled 15261 to 7920 computations (48.1% saved)

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

781×	`times-frac_binary64`
247×	`distribute-rgt-neg-in_binary64`
237×	`distribute-lft-neg-in_binary64`
209×	`distribute-rgt-in_binary64`
205×	`cancel-sign-sub-inv_binary64`
195×	`associate-r_binary64`
170×	`associate-l_binary64`
141×	`*-commutative_binary64`
96×	`distribute-neg-frac_binary64`
86×	`sub-neg_binary64` `sqr-pow_binary64`
77×	`unswap-sqr_binary64` `associate-/l*_binary64`
71×	`neg-sub0_binary64`
70×	`exp-sum_binary64`
66×	`neg-mul-1_binary64`
54×	`associate-/r*_binary64`
43×	`associate-*r/_binary64`
38×	`log-prod_binary64`
37×	`distribute-lft-neg-out_binary64`
34×	`exp-prod_binary64`
33×	`+-commutative_binary64`
31×	`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`
17×	`distribute-rgt-out_binary64`
16×	`cube-prod_binary64`
14×	`-rgt-identity_binary64` `-lft-identity_binary64`
13×	`unpow1/3_binary64` `exp-diff_binary64` `distribute-neg-out_binary64`
10×	`log-div_binary64` `unpow3_binary64` `cube-mult_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `associate--r-_binary64` `associate-+l+_binary64`
8×	`distribute-frac-neg_binary64` `associate--l+_binary64`
7×	`associate-/r/_binary64`
6×	`mul-1-neg_binary64` `difference-of-squares_binary64`
5×	`log-rec_binary64` `remove-double-neg_binary64`
4×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64` `associate-+r+_binary64`
2×	`exp-to-pow_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_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-plus_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` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64`

Counts

159 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3787
1	634	3673
2	2084	3592
3	4991	3592

prune250.0ms (1.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	22	22
Picked	1	0	1
Done	0	0	0
Total	142	23	165

Error

3.7b

Counts

165 → 23

Compiler

Compiled 6695 to 1366 computations (79.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
3.4b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite279.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

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

Compiler

Compiled 3976 to 452 computations (88.6% saved)

series449.0ms (2.6%)

Error

3.7b

Counts

4 → 108

Calls

4 calls:

150.0ms	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
81.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
79.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
79.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

Compiler

Compiled 6662 to 4582 computations (31.2% saved)

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-rgt-in_binary64`
665×	`distribute-lft-in_binary64`
365×	`associate-l_binary64`
338×	`associate-r_binary64`
179×	`*-commutative_binary64`
166×	`distribute-rgt-neg-in_binary64`
164×	`cancel-sign-sub-inv_binary64`
138×	`distribute-lft-neg-in_binary64`
91×	`exp-prod_binary64`
75×	`unswap-sqr_binary64`
74×	`distribute-lft-neg-out_binary64`
71×	`sqr-pow_binary64`
52×	`log-prod_binary64` `neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
44×	`neg-mul-1_binary64`
43×	`*-lft-identity_binary64`
41×	`sub-neg_binary64` `*-rgt-identity_binary64`
37×	`cube-prod_binary64` `swap-sqr_binary64`
25×	`exp-sum_binary64`
22×	`+-commutative_binary64`
13×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
11×	`exp-diff_binary64` `mul-1-neg_binary64`
10×	`distribute-neg-in_binary64`
9×	`difference-of-squares_binary64`
6×	`pow-sqr_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` `unsub-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1/3_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_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` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_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	229	3510
1	576	2853
2	2005	2853
3	5831	2853

prune169.0ms (1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	22	22
Picked	1	0	1
Done	0	0	0
Total	170	24	194

Error

3.7b

Counts

194 → 24

Compiler

Compiled 3438 to 961 computations (72% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b))
4.0b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b)))
5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite291.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

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

Compiler

Compiled 3976 to 472 computations (88.1% saved)

series453.0ms (2.7%)

Error

3.7b

Counts

4 → 108

Calls

4 calls:

154.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b))
82.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b)))
79.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
79.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

Compiler

Compiled 6676 to 4585 computations (31.3% saved)

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-rgt-in_binary64`
665×	`distribute-lft-in_binary64`
365×	`associate-l_binary64`
337×	`associate-r_binary64`
177×	`*-commutative_binary64`
170×	`distribute-rgt-neg-in_binary64`
168×	`cancel-sign-sub-inv_binary64`
143×	`distribute-lft-neg-in_binary64`
90×	`exp-prod_binary64`
75×	`unswap-sqr_binary64`
72×	`distribute-lft-neg-out_binary64`
71×	`sqr-pow_binary64`
54×	`distribute-rgt-neg-out_binary64`
52×	`log-prod_binary64` `neg-sub0_binary64`
44×	`neg-mul-1_binary64`
42×	`-rgt-identity_binary64` `-lft-identity_binary64`
41×	`sub-neg_binary64`
37×	`cube-prod_binary64` `swap-sqr_binary64`
25×	`exp-sum_binary64`
22×	`+-commutative_binary64`
13×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
11×	`exp-diff_binary64` `mul-1-neg_binary64`
10×	`distribute-neg-in_binary64`
9×	`difference-of-squares_binary64`
6×	`pow-sqr_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` `unsub-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1/3_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_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` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_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	226	3510
1	572	2853
2	2005	2853
3	5844	2853

prune176.0ms (1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	174	4	178
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	177	25	202

Error

3.7b

Counts

202 → 25

Compiler

Compiled 2524 to 343 computations (86.4% saved)

regimes6.0s (35.3%)

Accuracy

Total 7.0b remaining (70.7%)

Threshold costs 0b (0%)

Compiler

Compiled 93176 to 58127 computations (37.6% saved)

bsearch92.0ms (0.5%)

Steps

Iters	Range		Point
4	7.430788444397717e-38	1.2327005617805552e-37	1.2112337382318412e-37
8	-7.256895529349254e-80	-5.7602414647697696e-83	-6.25346776683234e-80

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

196×	`distribute-rgt-neg-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
133×	`distribute-lft-neg-in_binary64`
118×	`neg-mul-1_binary64` `neg-sub0_binary64`
103×	`distribute-lft-neg-out_binary64`
85×	`distribute-rgt-neg-out_binary64`
77×	`distribute-neg-out_binary64`
74×	`unsub-neg_binary64`
73×	`distribute-neg-in_binary64`
68×	`sub-neg_binary64`
63×	`*-commutative_binary64`
55×	`+-commutative_binary64`
37×	`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	51	150
1	114	150
2	173	150
3	244	150
4	318	150
5	364	150
6	421	150
7	482	150
8	544	150
9	633	150
10	725	150
11	810	150
12	879	150
13	916	150
14	932	150
15	936	150
16	932	150

end1.0ms (0%)

Compiler: Compiled 101 to 47 computations (53.5% saved)

sample3.5s (20.5%)

Algorithm

1×

intervals

Results

939.0ms	11341×	body	128	invalid
633.0ms	8000×	body	128	valid

Compiler

Compiled 1344 to 850 computations (36.8% saved)

Iter	Nodes	Cost
0	51	150
1	114	150
2	173	150
3	244	150
4	318	150
5	364	150
6	421	150
7	482	150
8	544	150
9	633	150
10	725	150
11	810	150
12	879	150
13	916	150
14	932	150
15	936	150
16	932	150

Iter	Nodes	Cost
0	51	150
1	114	150
2	173	150
3	244	150
4	318	150
5	364	150
6	421	150
7	482	150
8	544	150
9	633	150
10	725	150
11	810	150
12	879	150
13	916	150
14	932	150
15	936	150
16	932	150

Details

analyze2.4s (13.9%)

sample97.0ms (0.6%)

simplify789.0ms (4.6%)

prune3.0ms (0%)

localize25.0ms (0.1%)

rewrite193.0ms (1.1%)

series305.0ms (1.8%)

simplify139.0ms (0.8%)

prune125.0ms (0.7%)

localize26.0ms (0.1%)

rewrite208.0ms (1.2%)

series675.0ms (4%)

simplify115.0ms (0.7%)

prune250.0ms (1.5%)

localize26.0ms (0.1%)

rewrite279.0ms (1.6%)

series449.0ms (2.6%)

simplify108.0ms (0.6%)

prune169.0ms (1%)

localize28.0ms (0.2%)

rewrite291.0ms (1.7%)

series453.0ms (2.7%)

simplify111.0ms (0.7%)

prune176.0ms (1%)

regimes6.0s (35.3%)

bsearch92.0ms (0.5%)

simplify36.0ms (0.2%)

end1.0ms (0%)

sample3.5s (20.5%)

Profiling

Iter	Nodes	Cost
0	51	150
1	114	150
2	173	150
3	244	150
4	318	150
5	364	150
6	421	150
7	482	150
8	544	150
9	633	150
10	725	150
11	810	150
12	879	150
13	916	150
14	932	150
15	936	150
16	932	150