Details

analyze2.6s (12.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

805×	`div-sub_binary64`
768×	`times-frac_binary64`
469×	`sub-neg_binary64`
378×	`cancel-sign-sub-inv_binary64`
362×	`distribute-rgt-neg-in_binary64`
349×	`distribute-rgt-in_binary64`
270×	`*-commutative_binary64`
247×	`neg-mul-1_binary64`
246×	`distribute-lft-in_binary64`
234×	`associate-/l*_binary64`
228×	`distribute-lft-neg-in_binary64`
184×	`neg-sub0_binary64`
182×	`associate-r_binary64`
181×	`unsub-neg_binary64`
151×	`distribute-neg-in_binary64`
149×	`associate--r+_binary64`
124×	`associate-+l-_binary64`
112×	`+-commutative_binary64`
89×	`associate-/r/_binary64`
83×	`sub0-neg_binary64`
78×	`associate-/l/_binary64`
77×	`associate-*l/_binary64`
71×	`associate-l_binary64`
70×	`remove-double-neg_binary64` `distribute-lft-neg-out_binary64`
67×	`distribute-neg-frac_binary64`
56×	`cancel-sign-sub_binary64`
54×	`associate-/r*_binary64`
42×	`mul0-rgt_binary64`
39×	`associate-+r-_binary64` `associate-+r+_binary64`
36×	`mul0-lft_binary64`
30×	`associate-*r/_binary64`
29×	`--rgt-identity_binary64`
27×	`associate--l+_binary64` `associate-+l+_binary64`
20×	`+-rgt-identity_binary64`
18×	`div0_binary64`
12×	`cos-neg_binary64`
1×	`1-exp_binary64` `swap-z-t`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-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--r-_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	464
1	253	464
2	498	464
3	847	464
4	1494	464
5	2633	464
6	3327	464
7	4463	464
8	4980	464
9	4881	464
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Symmetry

(sort z t)

Compiler

Compiled 20 to 20 computations (0% saved)

sample155.0ms (0.8%)

Algorithm

1×

intervals

Results

36.0ms	49×	body	1024	valid
21.0ms	150×	body	128	valid
18.0ms	21×	body	2048	valid
12.0ms	86×	body	128	nan
11.0ms	24×	body	512	valid
5.0ms	39×	body	128	invalid
4.0ms	12×	body	256	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

146×	`cancel-sign-sub-inv_binary64`
110×	`distribute-rgt-neg-in_binary64`
104×	`associate-/l*_binary64`
69×	`div-sub_binary64` `distribute-neg-frac_binary64`
67×	`sub-neg_binary64`
66×	`unsub-neg_binary64`
54×	`associate-/r*_binary64`
52×	`distribute-lft-neg-in_binary64` `distribute-rgt-in_binary64`
48×	`neg-mul-1_binary64`
42×	`neg-sub0_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64`
40×	`distribute-lft-neg-out_binary64`
39×	`associate-/l/_binary64`
36×	`times-frac_binary64` `*-commutative_binary64`
34×	`associate--r+_binary64`
31×	`distribute-neg-in_binary64` `associate-r_binary64`
28×	`+-commutative_binary64`
27×	`associate-/r/_binary64`
25×	`associate-l_binary64`
24×	`-lft-identity_binary64` `mul0-rgt_binary64` `associate-r/_binary64`
22×	`+-lft-identity_binary64`
21×	`mul0-lft_binary64`
19×	`distribute-rgt-neg-out_binary64`
17×	`remove-double-neg_binary64`
16×	`associate-+l-_binary64`
15×	`*-rgt-identity_binary64`
13×	`sub0-neg_binary64`
9×	`div0_binary64`
8×	`associate--r-_binary64`
7×	`--rgt-identity_binary64`
6×	`associate-+l+_binary64`
4×	`/-rgt-identity_binary64`
2×	`cos-neg_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_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` `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` `mul-1-neg_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-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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	33	29
2	61	29
3	106	29
4	188	29
5	282	29
6	392	29
7	494	29
8	604	29
9	715	29
10	843	29
11	883	29
12	866	29
13	868	29
14	868	29
15	757	29

prune5.0ms (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

22.2b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(/.f64 a (*.f64 b 3))
0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
25.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite407.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64` `pow1_binary64`
8×	`cos-sum_binary64`
7×	`cancel-sign-sub-inv_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `associate-/r_binary64`
3×	`cos-diff_binary64` `div-inv_binary64` `pow-prod-down_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`sub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

17.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
14.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
7.0ms	(/.f64 (*.f64 z t) 3)
7.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2110 to 1295 computations (38.6% saved)

series353.0ms (1.7%)

Error

16.0b

Counts

4 → 45

Calls

4 calls:

153.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
79.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
39.0ms	(/.f64 a (*.f64 b 3))
35.0ms	(/.f64 (*.f64 z t) 3)

Compiler

Compiled 2286 to 1984 computations (13.2% saved)

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-/l*_binary64`
274×	`times-frac_binary64`
260×	`associate-*l/_binary64`
239×	`associate-l_binary64`
207×	`associate-r_binary64`
206×	`associate-/r*_binary64`
201×	`associate-/l/_binary64`
197×	`associate-*r/_binary64`
176×	`sub-neg_binary64`
172×	`cancel-sign-sub-inv_binary64`
169×	`*-commutative_binary64`
139×	`neg-mul-1_binary64` `neg-sub0_binary64`
133×	`distribute-rgt-neg-in_binary64`
118×	`distribute-lft-neg-in_binary64`
98×	`associate-/r/_binary64`
97×	`log-div_binary64`
91×	`cube-div_binary64`
86×	`sqr-pow_binary64`
74×	`log-prod_binary64`
67×	`exp-prod_binary64`
66×	`cube-prod_binary64`
51×	`div-sub_binary64`
50×	`unsub-neg_binary64`
48×	`+-commutative_binary64`
44×	`unpow3_binary64`
39×	`cube-mult_binary64`
33×	`distribute-lft-neg-out_binary64`
32×	`distribute-rgt-neg-out_binary64`
30×	`distribute-neg-frac_binary64`
24×	`unswap-sqr_binary64`
22×	`swap-sqr_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
21×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64` `distribute-rgt-in_binary64` `associate-+l+_binary64`
18×	`+-rgt-identity_binary64`
15×	`cube-unmult_binary64`
12×	`sub0-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
11×	`log-rec_binary64` `associate--l+_binary64`
10×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-rgt-out_binary64`
9×	`cos-neg_binary64`
8×	`sin-neg_binary64` `associate--l-_binary64`
7×	`log-pow_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `distribute-lft-out--_binary64`
6×	`unpow1/2_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
5×	`exp-cbrt_binary64` `rem-sqrt-square_binary64`
4×	`pow-plus_binary64` `unpow1_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `rem-square-sqrt_binary64`
2×	`distribute-frac-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_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` `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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_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-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

123 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	2294
1	582	2049
2	1749	1991
3	4195	1991
4	4727	1991
5	4932	1991

prune129.0ms (0.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	54	26	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	26	81

Error

19.3b

Counts

81 → 26

Compiler

Compiled 1876 to 1344 computations (28.4% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 t -1/3)
0.3b	(.f64 1/3 (.f64 t z))
29.9b	(cos.f64 (.f64 1/3 (.f64 t z)))
30.1b	(sin.f64 (.f64 z (.f64 t -1/3)))

rewrite203.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

19.2b

Rules

11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 50

Calls

4 calls:

5.0ms	(.f64 1/3 (.f64 t z))
3.0ms	(*.f64 t -1/3)
3.0ms	(sin.f64 (.f64 z (.f64 t -1/3)))
2.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 1614 to 973 computations (39.7% saved)

series103.0ms (0.5%)

Error

19.2b

Counts

4 → 25

Calls

4 calls:

25.0ms	(sin.f64 (.f64 z (.f64 t -1/3)))
22.0ms	(.f64 1/3 (.f64 t z))
21.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))
9.0ms	(*.f64 t -1/3)

Compiler

Compiled 1682 to 1436 computations (14.6% saved)

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

560×	`unswap-sqr_binary64`
293×	`*-commutative_binary64`
279×	`distribute-rgt-neg-in_binary64`
253×	`neg-mul-1_binary64`
252×	`neg-sub0_binary64`
245×	`distribute-lft-neg-in_binary64`
221×	`unsub-neg_binary64`
201×	`sqr-pow_binary64`
170×	`sub-neg_binary64`
120×	`associate-r_binary64`
111×	`associate-l_binary64`
105×	`log-prod_binary64`
103×	`cube-prod_binary64`
102×	`exp-prod_binary64`
100×	`distribute-lft-neg-out_binary64`
94×	`distribute-rgt-in_binary64`
91×	`times-frac_binary64`
85×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64`
84×	`+-commutative_binary64`
77×	`log-div_binary64` `cube-div_binary64`
59×	`pow-sqr_binary64`
58×	`remove-double-neg_binary64`
57×	`associate-+l+_binary64`
51×	`associate-/l*_binary64`
47×	`unpow3_binary64`
40×	`associate-+r+_binary64`
38×	`swap-sqr_binary64`
37×	`cube-mult_binary64`
35×	`rem-sqrt-square_binary64`
34×	`*-rgt-identity_binary64`
33×	`*-lft-identity_binary64` `associate-/l/_binary64`
29×	`associate-/r*_binary64`
26×	`associate-/r/_binary64` `associate-*r/_binary64`
23×	`distribute-neg-in_binary64`
22×	`mul0-rgt_binary64` `mul0-lft_binary64`
18×	`cube-unmult_binary64`
10×	`log-pow_binary64`
9×	`div-sub_binary64` `distribute-lft-out_binary64`
8×	`unpow1/2_binary64` `exp-diff_binary64` `sqr-neg_binary64` `associate-*l/_binary64`
7×	`distribute-rgt-out_binary64`
6×	`exp-sum_binary64` `cube-neg_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
5×	`exp-sqrt_binary64` `count-2_binary64`
4×	`unpow1/3_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
3×	`+-rgt-identity_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `--rgt-identity_binary64`
1×	`cos-neg_binary64` `sin-neg_binary64` `log-rec_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

75 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	760
1	196	668
2	597	667
3	1025	667
4	1754	667
5	3898	667
6	4393	667
7	4904	667

prune159.0ms (0.8%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	39	12	51
Fresh	7	18	25
Picked	1	0	1
Done	0	0	0
Total	47	30	77

Error

19.2b

Counts

77 → 30

Compiler

Compiled 2133 to 1539 computations (27.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

15.9b	(cbrt.f64 (.f64 (.f64 t z) 1/3))
15.9b	(cbrt.f64 (.f64 (.f64 t z) 1/3))
29.9b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t z) 1/3)) (cbrt.f64 (.f64 (.f64 t z) 1/3))) (cbrt.f64 (.f64 (.f64 t z) 1/3))))
30.1b	(sin.f64 (.f64 z (.f64 t -1/3)))

rewrite201.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

19.1b

Rules

4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 32

Calls

4 calls:

5.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t z) 1/3)) (cbrt.f64 (.f64 (.f64 t z) 1/3))) (cbrt.f64 (.f64 (.f64 t z) 1/3))))
4.0ms	(cbrt.f64 (.f64 (.f64 t z) 1/3))
4.0ms	(cbrt.f64 (.f64 (.f64 t z) 1/3))
2.0ms	(sin.f64 (.f64 z (.f64 t -1/3)))

Compiler

Compiled 1715 to 1031 computations (39.9% saved)

series237.0ms (1.2%)

Error

19.0b

Counts

4 → 28

Calls

4 calls:

54.0ms	(cbrt.f64 (.f64 (.f64 t z) 1/3))
52.0ms	(cbrt.f64 (.f64 (.f64 t z) 1/3))
35.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t z) 1/3)) (cbrt.f64 (.f64 (.f64 t z) 1/3))) (cbrt.f64 (.f64 (.f64 t z) 1/3))))
29.0ms	(sin.f64 (.f64 z (.f64 t -1/3)))

Compiler

Compiled 3320 to 2603 computations (21.6% saved)

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

740×	`div-sub_binary64`
460×	`*-commutative_binary64`
426×	`exp-sum_binary64`
275×	`exp-diff_binary64`
231×	`associate-l_binary64`
218×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
216×	`associate-r_binary64`
201×	`sub-neg_binary64`
181×	`distribute-lft-neg-in_binary64`
161×	`neg-sub0_binary64` `unswap-sqr_binary64`
155×	`neg-mul-1_binary64`
150×	`unsub-neg_binary64`
145×	`log-prod_binary64`
139×	`exp-prod_binary64`
112×	`sqr-pow_binary64`
98×	`prod-exp_binary64`
92×	`associate--r+_binary64`
90×	`distribute-rgt-in_binary64`
86×	`log-div_binary64`
84×	`associate-+r+_binary64`
83×	`times-frac_binary64`
78×	`distribute-lft-in_binary64`
76×	`cube-prod_binary64`
74×	`associate--r-_binary64`
68×	`associate-+r-_binary64`
39×	`associate--l+_binary64`
36×	`cancel-sign-sub_binary64`
34×	`exp-to-pow_binary64` `associate--l-_binary64` `associate-+l-_binary64`
33×	`associate-+l+_binary64`
32×	`distribute-neg-out_binary64`
31×	`distribute-lft-neg-out_binary64`
27×	`distribute-lft-out_binary64` `+-commutative_binary64`
26×	`exp-neg_binary64`
24×	`log-pow_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64`
22×	`cube-div_binary64` `distribute-rgt-neg-out_binary64`
20×	`*-lft-identity_binary64`
19×	`unpow3_binary64`
18×	`*-rgt-identity_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-neg-in_binary64`
15×	`remove-double-neg_binary64`
14×	`--rgt-identity_binary64` `distribute-lft-out--_binary64`
13×	`unpow1/3_binary64` `cube-unmult_binary64` `distribute-rgt-out--_binary64`
12×	`rem-exp-log_binary64` `cube-mult_binary64` `associate-/r*_binary64`
11×	`swap-sqr_binary64`
10×	`pow-plus_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-rgt-out_binary64`
8×	`log-rec_binary64`
4×	`div-exp_binary64` `distribute-neg-frac_binary64`
3×	`mul-1-neg_binary64` `+-lft-identity_binary64` `count-2_binary64`
2×	`sin-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rec-exp_binary64` `rem-cube-cbrt_binary64` `+-rgt-identity_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`cos-neg_binary64` `log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_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` `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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-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` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-l/_binary64`

Counts

60 → 32

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	100	808
1	200	764
2	410	736
3	1390	680
4	2954	676
5	4123	676
6	5018	676

prune152.0ms (0.8%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	28	29
Picked	0	1	1
Done	0	0	0
Total	32	30	62

Error

19.2b

Counts

62 → 30

Compiler

Compiled 1711 to 1278 computations (25.3% saved)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.9b	(cbrt.f64 (.f64 (.f64 t z) 1/3))
15.9b	(cbrt.f64 (*.f64 t z))
30.0b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t z) 1/3)) (cbrt.f64 (.f64 (.f64 t z) 1/3))) (.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 t z)))))
30.1b	(sin.f64 (.f64 z (.f64 t -1/3)))

rewrite408.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

19.0b

Rules

4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 32

Calls

4 calls:

10.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t z) 1/3)) (cbrt.f64 (.f64 (.f64 t z) 1/3))) (.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 t z)))))
7.0ms	(cbrt.f64 (.f64 (.f64 t z) 1/3))
5.0ms	(sin.f64 (.f64 z (.f64 t -1/3)))
4.0ms	(cbrt.f64 (*.f64 t z))

Compiler

Compiled 1742 to 1017 computations (41.6% saved)

series445.0ms (2.2%)

Error

19.0b

Counts

4 → 28

Calls

4 calls:

100.0ms	(cbrt.f64 (.f64 (.f64 t z) 1/3))
92.0ms	(cbrt.f64 (*.f64 t z))
70.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t z) 1/3)) (cbrt.f64 (.f64 (.f64 t z) 1/3))) (.f64 (cbrt.f64 1/3) (cbrt.f64 (.f64 t z)))))
52.0ms	(sin.f64 (.f64 z (.f64 t -1/3)))

Compiler

Compiled 3403 to 2679 computations (21.3% saved)

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

427×	`exp-sum_binary64`
378×	`distribute-rgt-neg-in_binary64`
370×	`associate-l_binary64`
351×	`associate-r_binary64`
342×	`distribute-lft-neg-in_binary64`
233×	`unswap-sqr_binary64`
232×	`cancel-sign-sub-inv_binary64`
231×	`exp-diff_binary64`
171×	`*-commutative_binary64`
92×	`associate--r+_binary64`
90×	`distribute-rgt-in_binary64`
84×	`exp-prod_binary64` `associate-+r+_binary64`
78×	`distribute-lft-in_binary64`
72×	`associate--r-_binary64`
71×	`neg-sub0_binary64`
68×	`sub-neg_binary64` `associate-+r-_binary64`
60×	`neg-mul-1_binary64`
56×	`sqr-pow_binary64`
46×	`div-sub_binary64`
44×	`distribute-lft-neg-out_binary64`
38×	`associate--l+_binary64`
37×	`unsub-neg_binary64`
34×	`log-div_binary64` `log-prod_binary64` `associate-+l-_binary64`
33×	`associate--l-_binary64` `associate-+l+_binary64`
32×	`distribute-neg-out_binary64`
30×	`distribute-rgt-neg-out_binary64`
29×	`exp-neg_binary64`
27×	`+-commutative_binary64`
23×	`distribute-lft-out_binary64`
20×	`exp-to-pow_binary64`
17×	`log-pow_binary64` `associate-/l*_binary64`
16×	`distribute-neg-in_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`associate-/r*_binary64`
11×	`unpow3_binary64`
10×	`pow-plus_binary64` `prod-exp_binary64` `cube-unmult_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
9×	`unpow1/3_binary64`
8×	`pow-sqr_binary64`
6×	`rem-exp-log_binary64`
4×	`log-rec_binary64` `cube-prod_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `count-2_binary64`
2×	`rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `swap-sqr_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`cos-neg_binary64` `sin-neg_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-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` `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` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-l/_binary64`

Counts

60 → 33

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1062
1	237	962
2	523	929
3	1888	869
4	4253	865
5	5073	865

prune189.0ms (0.9%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	4	24	28
Picked	1	0	1
Done	0	1	1
Total	33	30	63

Error

19.1b

Counts

63 → 30

Compiler

Compiled 973 to 577 computations (40.7% saved)

regimes9.4s (46.4%)

Accuracy

Total -1.3b remaining (-7.9%)

Threshold costs -1.3b (-7.9%)

Compiler

Compiled 117753 to 101060 computations (14.2% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
13×	`sub-neg_binary64` `+-commutative_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`if-if-or-not_binary64` `distribute-rgt-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	115
1	65	115
2	88	115
3	108	115
4	121	115
5	126	115
6	127	115
7	127	115

end15.0ms (0.1%)

Compiler: Compiled 216 to 174 computations (19.4% saved)

sample4.4s (21.6%)

Algorithm

1×

intervals

Results

704.0ms	1672×	body	1024	valid
456.0ms	4591×	body	128	valid
420.0ms	723×	body	2048	valid
220.0ms	2275×	body	128	nan
214.0ms	718×	body	512	valid
114.0ms	1210×	body	128	invalid
61.0ms	296×	body	256	valid

Compiler

Compiled 1264 to 1084 computations (14.2% saved)

Iter	Nodes	Cost
0	19	29
1	33	29
2	61	29
3	106	29
4	188	29
5	282	29
6	392	29
7	494	29
8	604	29
9	715	29
10	843	29
11	883	29
12	866	29
13	868	29
14	868	29
15	757	29

Iter	Nodes	Cost
0	19	29
1	33	29
2	61	29
3	106	29
4	188	29
5	282	29
6	392	29
7	494	29
8	604	29
9	715	29
10	843	29
11	883	29
12	866	29
13	868	29
14	868	29
15	757	29

Details

analyze2.6s (12.7%)

sample155.0ms (0.8%)

simplify96.0ms (0.5%)

prune5.0ms (0%)

localize30.0ms (0.1%)

rewrite407.0ms (2%)

series353.0ms (1.7%)

simplify139.0ms (0.7%)

prune129.0ms (0.6%)

localize28.0ms (0.1%)

rewrite203.0ms (1%)

series103.0ms (0.5%)

simplify93.0ms (0.5%)

prune159.0ms (0.8%)

localize32.0ms (0.2%)

rewrite201.0ms (1%)

series237.0ms (1.2%)

simplify94.0ms (0.5%)

prune152.0ms (0.8%)

localize68.0ms (0.3%)

rewrite408.0ms (2%)

series445.0ms (2.2%)

simplify147.0ms (0.7%)

prune189.0ms (0.9%)

regimes9.4s (46.4%)

bsearch11.0ms (0.1%)

simplify9.0ms (0%)

end15.0ms (0.1%)

sample4.4s (21.6%)

Profiling

Iter	Nodes	Cost
0	19	29
1	33	29
2	61	29
3	106	29
4	188	29
5	282	29
6	392	29
7	494	29
8	604	29
9	715	29
10	843	29
11	883	29
12	866	29
13	868	29
14	868	29
15	757	29