Details

analyze1.4s (10.5%)

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)

sample86.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	46×	body	1024	valid
12.0ms	152×	body	128	valid
9.0ms	20×	body	2048	valid
7.0ms	29×	body	512	valid
5.0ms	61×	body	128	nan
2.0ms	31×	body	128	invalid
2.0ms	9×	body	256	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify52.0ms (0.4%)

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

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

21.1b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 z t) 3)
0.3b	(/.f64 a (*.f64 b 3))
0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
26.2b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite232.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

19.1b

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:

8.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
7.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
4.0ms	(/.f64 (*.f64 z t) 3)
4.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2110 to 1295 computations (38.6% saved)

series181.0ms (1.3%)

Error

14.7b

Counts

4 → 45

Calls

4 calls:

76.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
40.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
19.0ms	(/.f64 (*.f64 z t) 3)
18.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2286 to 1984 computations (13.2% saved)

simplify131.0ms (1%)

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

prune117.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	64	16	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	16	81

Error

18.0b

Counts

81 → 16

Compiler

Compiled 1588 to 1091 computations (31.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 a (*.f64 b 3))
2.7b	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
28.7b	(cos.f64 (.f64 1/3 (.f64 t z)))
28.9b	(sin.f64 (.f64 1/3 (.f64 t z)))

rewrite206.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`pow-prod-down_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`times-frac_binary64` `associate-/l*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`sin-mult_binary64` `associate-l/_binary64` `associate-l_binary64` `associate-r_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 58

Calls

4 calls:

9.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
6.0ms	(/.f64 a (*.f64 b 3))
3.0ms	(sin.f64 (.f64 1/3 (.f64 t z)))
2.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 2299 to 1243 computations (45.9% saved)

series195.0ms (1.4%)

Error

17.8b

Counts

4 → 37

Calls

4 calls:

93.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
24.0ms	(sin.f64 (.f64 1/3 (.f64 t z)))
22.0ms	(/.f64 a (*.f64 b 3))
22.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 3023 to 2371 computations (21.6% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64`
533×	`times-frac_binary64`
360×	`associate-/r*_binary64`
351×	`associate-/r/_binary64`
245×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
242×	`associate-l_binary64`
234×	`associate-r_binary64`
177×	`sqr-pow_binary64`
173×	`neg-mul-1_binary64`
166×	`neg-sub0_binary64`
155×	`sub-neg_binary64`
121×	`*-commutative_binary64`
99×	`cancel-sign-sub-inv_binary64`
95×	`unswap-sqr_binary64`
80×	`associate-/l/_binary64`
69×	`associate-*l/_binary64`
53×	`cube-prod_binary64`
51×	`exp-prod_binary64`
48×	`associate-*r/_binary64`
47×	`log-prod_binary64` `swap-sqr_binary64`
43×	`pow-sqr_binary64`
29×	`+-commutative_binary64`
20×	`unpow3_binary64`
19×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+l+_binary64`
16×	`associate-+r+_binary64`
15×	`cube-unmult_binary64` `cube-mult_binary64`
13×	`unsub-neg_binary64`
12×	`distribute-rgt-out_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`log-div_binary64` `associate-+l-_binary64`
7×	`sub0-neg_binary64`
6×	`cube-div_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
5×	`unpow1_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `distribute-lft-out_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
1×	`cos-neg_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `remove-double-neg_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` `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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `div-exp_binary64` `rec-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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `-rgt-identity_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

95 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1774
1	407	1502
2	1379	1476
3	2644	1476
4	4616	1476
5	5055	1476

prune101.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	43	19	62

Error

17.9b

Counts

62 → 19

Compiler

Compiled 1541 to 1038 computations (32.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 3)
2.7b	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
28.7b	(cos.f64 (.f64 1/3 (.f64 t z)))
28.9b	(sin.f64 (.f64 1/3 (.f64 t z)))

rewrite242.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `cube-prod_binary64`
1×	`sin-mult_binary64` `associate-l/_binary64` `associate-l_binary64` `associate-r_binary64` `-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64` `sqr-pow_binary64`

Counts

4 → 60

Calls

4 calls:

9.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
3.0ms	(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 3)
3.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))
3.0ms	(sin.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 2382 to 1374 computations (42.3% saved)

series235.0ms (1.7%)

Error

17.8b

Counts

4 → 39

Calls

4 calls:

101.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
36.0ms	(pow.f64 (cos.f64 (.f64 1/3 (.f64 t z))) 3)
28.0ms	(sin.f64 (.f64 1/3 (.f64 t z)))
24.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 3385 to 2714 computations (19.8% saved)

simplify136.0ms (1%)

Algorithm

1×	egg-herbie

Rules

269×	`log-prod_binary64`
259×	`unswap-sqr_binary64`
257×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
252×	`associate-r_binary64`
243×	`associate-l_binary64`
237×	`cube-prod_binary64`
234×	`exp-prod_binary64`
203×	`sqr-pow_binary64`
170×	`neg-mul-1_binary64`
115×	`unpow3_binary64`
113×	`*-commutative_binary64`
108×	`cancel-sign-sub-inv_binary64`
106×	`neg-sub0_binary64` `associate-+l+_binary64`
96×	`cube-mult_binary64`
83×	`swap-sqr_binary64`
82×	`associate-+r+_binary64`
57×	`sub-neg_binary64`
56×	`pow-sqr_binary64`
55×	`log-pow_binary64`
54×	`associate-/l*_binary64`
50×	`+-commutative_binary64`
44×	`distribute-rgt-in_binary64`
41×	`distribute-lft-in_binary64`
31×	`pow-plus_binary64`
27×	`distribute-rgt-out_binary64`
24×	`cube-unmult_binary64`
20×	`rem-sqrt-square_binary64`
14×	`count-2_binary64` `associate-/l/_binary64`
12×	`distribute-lft-out_binary64`
9×	`distribute-rgt-out--_binary64` `associate-*r/_binary64`
8×	`associate-+l-_binary64`
7×	`sub0-neg_binary64`
6×	`log-div_binary64` `unpow1_binary64` `cube-div_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
5×	`unpow2_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `+-rgt-identity_binary64`
4×	`unpow1/2_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
3×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64`
2×	`exp-sqrt_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64`
1×	`cos-neg_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `times-frac_binary64` `/-rgt-identity_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` `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` `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-cbrt_binary64` `div-exp_binary64` `rec-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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `remove-double-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

99 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	141	1940
1	367	1685
2	1303	1647
3	2637	1647
4	4517	1634
5	4990	1634
6	4932	1634

prune118.0ms (0.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	48	21	69

Error

17.9b

Counts

69 → 21

Compiler

Compiled 1671 to 1164 computations (30.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
28.7b	(cos.f64 (.f64 1/3 (.f64 t z)))
28.7b	(cos.f64 (.f64 1/3 (.f64 t z)))
28.9b	(sin.f64 (.f64 1/3 (.f64 t z)))

rewrite225.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`sin-mult_binary64` `associate-l/_binary64` `associate-l_binary64` `associate-r_binary64` `-commutative_binary64`

Counts

4 → 44

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
3.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))
3.0ms	(sin.f64 (.f64 1/3 (.f64 t z)))
3.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 2346 to 1412 computations (39.8% saved)

series238.0ms (1.7%)

Error

17.7b

Counts

4 → 37

Calls

4 calls:

105.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 1/3 (.f64 t z)))) (*.f64 2 (sqrt.f64 x)))
32.0ms	(sin.f64 (.f64 1/3 (.f64 t z)))
30.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))
24.0ms	(cos.f64 (.f64 1/3 (.f64 t z)))

Compiler

Compiled 4110 to 3235 computations (21.3% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

583×	`*-commutative_binary64`
478×	`distribute-rgt-neg-in_binary64`
452×	`distribute-lft-neg-in_binary64`
370×	`unswap-sqr_binary64`
323×	`associate-*l/_binary64`
225×	`associate-r_binary64`
220×	`associate-l_binary64`
205×	`cancel-sign-sub-inv_binary64`
156×	`sqr-pow_binary64`
141×	`neg-mul-1_binary64` `distribute-rgt-in_binary64`
135×	`neg-sub0_binary64`
121×	`distribute-lft-in_binary64`
117×	`sub-neg_binary64`
52×	`exp-prod_binary64` `associate-/l*_binary64`
51×	`swap-sqr_binary64`
46×	`cube-prod_binary64`
43×	`log-prod_binary64`
40×	`pow-sqr_binary64` `associate-/l/_binary64`
36×	`+-commutative_binary64`
34×	`distribute-neg-in_binary64`
30×	`distribute-lft-neg-out_binary64`
29×	`associate-+l+_binary64`
20×	`distribute-rgt-out_binary64`
19×	`associate-/r/_binary64`
18×	`associate-+r+_binary64`
15×	`unpow3_binary64`
13×	`unsub-neg_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
10×	`distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
7×	`sub0-neg_binary64` `associate-+l-_binary64`
6×	`log-div_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `cube-div_binary64` `+-rgt-identity_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
5×	`unpow1_binary64` `count-2_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate-*r/_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `exp-sqrt_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out_binary64`
1×	`cos-neg_binary64` `1-exp_binary64` `rem-square-sqrt_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` `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` `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-cbrt_binary64` `div-exp_binary64` `rec-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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

81 → 32

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1635
1	301	1393
2	1065	1367
3	1849	1367
4	2889	1367
5	5117	1367

prune78.0ms (0.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	32	21	53

Error

17.9b

Counts

53 → 21

Compiler

Compiled 827 to 510 computations (38.3% saved)

regimes6.3s (45.8%)

Accuracy

Total -1.7b remaining (-10.8%)

Threshold costs -1.7b (-10.8%)

Compiler

Compiled 92994 to 80893 computations (13% saved)

bsearch8.0ms (0.1%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`distribute-neg-frac_binary64`
1×	`if-if-or-not_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-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	95
1	56	95
2	68	95
3	77	95
4	83	95
5	85	95
6	85	95

end10.0ms (0.1%)

Remove: (sort z t)
Compiler: Compiled 183 to 129 computations (29.5% saved)

sample3.1s (22.7%)

Algorithm

1×

intervals

Results

569.0ms	1658×	body	1024	valid
388.0ms	4601×	body	128	valid
321.0ms	691×	body	2048	valid
191.0ms	2340×	body	128	nan
180.0ms	717×	body	512	valid
85.0ms	1125×	body	128	invalid
57.0ms	333×	body	256	valid

Compiler

Compiled 833 to 737 computations (11.5% 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

analyze1.4s (10.5%)

sample86.0ms (0.6%)

simplify52.0ms (0.4%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite232.0ms (1.7%)

series181.0ms (1.3%)

simplify131.0ms (1%)

prune117.0ms (0.8%)

localize25.0ms (0.2%)

rewrite206.0ms (1.5%)

series195.0ms (1.4%)

simplify103.0ms (0.7%)

prune101.0ms (0.7%)

localize30.0ms (0.2%)

rewrite242.0ms (1.8%)

series235.0ms (1.7%)

simplify136.0ms (1%)

prune118.0ms (0.9%)

localize33.0ms (0.2%)

rewrite225.0ms (1.6%)

series238.0ms (1.7%)

simplify93.0ms (0.7%)

prune78.0ms (0.6%)

regimes6.3s (45.8%)

bsearch8.0ms (0.1%)

simplify7.0ms (0.1%)

end10.0ms (0.1%)

sample3.1s (22.7%)

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