Details

analyze294.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

130×	`cancel-sign-sub-inv_binary64`
81×	`sub-neg_binary64`
64×	`distribute-rgt-neg-in_binary64`
60×	`distribute-rgt-in_binary64`
48×	`associate-r_binary64`
45×	`neg-mul-1_binary64`
44×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64`
40×	`distribute-lft-in_binary64`
34×	`neg-sub0_binary64`
32×	`associate-l_binary64`
29×	`distribute-neg-in_binary64`
28×	`distribute-lft-neg-in_binary64` `+-commutative_binary64`
25×	`*-commutative_binary64`
22×	`sub0-neg_binary64` `associate-+l-_binary64`
20×	`*-lft-identity_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`distribute-rgt-neg-out_binary64`
12×	`+-lft-identity_binary64` `associate-+l+_binary64`
10×	`remove-double-neg_binary64` `--rgt-identity_binary64`
8×	`associate--r-_binary64`
6×	`sin-neg_binary64` `*-rgt-identity_binary64`
4×	`+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
3×	`cos-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` `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` `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` `mul-1-neg_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` `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--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample46.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	60×	body	1024	valid
10.0ms	146×	body	128	valid
5.0ms	27×	body	512	valid
3.0ms	23×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`cancel-sign-sub-inv_binary64`
23×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
19×	`unsub-neg_binary64`
17×	`neg-mul-1_binary64`
16×	`distribute-rgt-in_binary64`
14×	`neg-sub0_binary64` `associate--r+_binary64`
12×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
11×	`distribute-lft-in_binary64`
10×	`+-commutative_binary64`
9×	`distribute-neg-in_binary64` `*-commutative_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`+-lft-identity_binary64`
6×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
5×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-r_binary64`
3×	`--rgt-identity_binary64` `associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `associate-l_binary64` `associate--l+_binary64` `associate-+r-_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` `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` `mul-1-neg_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-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--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-l_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 48

Calls

3 calls:

4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 697 to 167 computations (76% saved)

series96.0ms (1.5%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

47.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	(*.f64 z (sin.f64 y))
18.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 652 to 523 computations (19.8% saved)

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

582×	`times-frac_binary64`
427×	`distribute-rgt-neg-in_binary64`
391×	`cancel-sign-sub-inv_binary64`
312×	`distribute-lft-neg-in_binary64`
237×	`*-commutative_binary64`
191×	`sub-neg_binary64`
169×	`unsub-neg_binary64`
164×	`distribute-rgt-in_binary64`
131×	`distribute-lft-in_binary64`
129×	`distribute-neg-in_binary64`
126×	`neg-mul-1_binary64`
119×	`sqr-pow_binary64`
117×	`neg-sub0_binary64`
108×	`unswap-sqr_binary64`
107×	`associate-l_binary64`
101×	`distribute-lft-neg-out_binary64`
100×	`associate-/l*_binary64`
99×	`associate--r+_binary64`
91×	`associate-r_binary64`
62×	`distribute-rgt-out_binary64`
61×	`associate-+l+_binary64`
58×	`exp-prod_binary64`
57×	`associate-+r+_binary64`
55×	`associate--l+_binary64`
54×	`associate-/r*_binary64`
53×	`+-commutative_binary64`
51×	`distribute-rgt-neg-out_binary64`
48×	`associate-+l-_binary64`
42×	`difference-of-squares_binary64`
36×	`cube-prod_binary64`
35×	`exp-sum_binary64` `distribute-neg-out_binary64`
32×	`distribute-lft-out_binary64`
31×	`distribute-rgt-out--_binary64`
30×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-*r/_binary64`
28×	`sub0-neg_binary64` `pow-sqr_binary64`
25×	`log-prod_binary64` `associate-/l/_binary64`
24×	`associate-+r-_binary64`
21×	`-rgt-identity_binary64` `-lft-identity_binary64` `associate--r-_binary64`
19×	`+-rgt-identity_binary64` `associate-*l/_binary64`
18×	`rem-sqrt-square_binary64` `swap-sqr_binary64`
17×	`exp-diff_binary64`
16×	`distribute-lft-out--_binary64` `associate--l-_binary64`
14×	`associate-/r/_binary64`
12×	`cube-unmult_binary64`
11×	`unpow3_binary64` `remove-double-neg_binary64`
10×	`unpow1/2_binary64`
5×	`cube-neg_binary64` `sqr-neg_binary64` `div-sub_binary64`
4×	`--rgt-identity_binary64`
3×	`cube-mult_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64`
2×	`cancel-sign-sub_binary64` `distribute-rgt1-in_binary64`
1×	`cos-neg_binary64` `sin-neg_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_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` `mul-1-neg_binary64` `/-rgt-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` `distribute-neg-frac_binary64`

Counts

81 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	940
1	258	911
2	722	899
3	1309	896
4	2544	896
5	4208	896
6	5060	896

prune27.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

0.1b

Counts

38 → 5

Compiler

Compiled 548 to 181 computations (67% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
0.5b	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
0.5b	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
0.6b	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))

rewrite100.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
4.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
4.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

Compiler

Compiled 3915 to 331 computations (91.5% saved)

series498.0ms (8%)

Error

0.1b

Counts

4 → 71

Calls

4 calls:

122.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
103.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
102.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
102.0ms	(cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))

Compiler

Compiled 8930 to 4952 computations (44.5% saved)

simplify161.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

388×	`cancel-sign-sub-inv_binary64`
302×	`unswap-sqr_binary64`
299×	`associate-r_binary64`
231×	`times-frac_binary64`
213×	`associate-l_binary64`
185×	`distribute-neg-frac_binary64`
168×	`*-commutative_binary64`
131×	`associate-/l*_binary64`
120×	`sqr-pow_binary64` `associate-/r*_binary64`
92×	`sub-neg_binary64`
83×	`neg-sub0_binary64`
82×	`neg-mul-1_binary64`
68×	`associate-*r/_binary64`
50×	`distribute-rgt-neg-in_binary64`
48×	`distribute-lft-neg-in_binary64`
44×	`associate-*l/_binary64`
42×	`log-prod_binary64`
41×	`+-commutative_binary64`
40×	`exp-prod_binary64`
36×	`exp-sum_binary64`
22×	`unpow1/3_binary64`
20×	`cube-prod_binary64`
16×	`unsub-neg_binary64`
14×	`swap-sqr_binary64`
13×	`pow-sqr_binary64` `associate--r+_binary64`
12×	`log-pow_binary64`
11×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64`
10×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
9×	`rem-sqrt-square_binary64` `*-lft-identity_binary64`
8×	`exp-diff_binary64` `div-sub_binary64` `difference-of-squares_binary64`
7×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l+_binary64`
6×	`unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `associate-+r+_binary64`
5×	`cube-unmult_binary64`
4×	`log-div_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
3×	`distribute-rgt-out_binary64` `associate--l+_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `mul-1-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` `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` `exp-to-pow_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-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

158 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	6180
1	751	5754
2	3072	5602
3	5027	5602

prune108.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	139	11	150

Error

0.1b

Counts

150 → 11

Compiler

Compiled 5954 to 1508 computations (74.7% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
0.5b	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
0.5b	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
0.6b	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))

rewrite110.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`cbrt-div_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 6637 to 444 computations (93.3% saved)

series470.0ms (7.6%)

Error

0.1b

Counts

4 → 65

Calls

4 calls:

125.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
97.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
96.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
96.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 11939 to 4987 computations (58.2% saved)

simplify235.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

353×	`distribute-rgt-neg-in_binary64`
349×	`distribute-lft-neg-in_binary64`
324×	`cancel-sign-sub-inv_binary64`
267×	`associate-r_binary64`
202×	`unswap-sqr_binary64`
199×	`associate-l_binary64`
173×	`times-frac_binary64`
163×	`distribute-neg-frac_binary64`
151×	`exp-prod_binary64`
141×	`*-commutative_binary64`
124×	`sqr-pow_binary64`
107×	`associate-/l*_binary64`
88×	`associate-/r*_binary64`
84×	`sub-neg_binary64`
74×	`neg-sub0_binary64`
73×	`neg-mul-1_binary64`
72×	`exp-sum_binary64`
71×	`log-prod_binary64`
57×	`associate-*r/_binary64`
40×	`+-commutative_binary64`
36×	`exp-diff_binary64` `associate-*l/_binary64`
33×	`log-pow_binary64`
26×	`swap-sqr_binary64`
21×	`exp-to-pow_binary64` `cube-prod_binary64`
20×	`distribute-lft-neg-out_binary64`
18×	`distribute-neg-in_binary64`
16×	`exp-neg_binary64`
14×	`unpow3_binary64` `pow-plus_binary64` `distribute-rgt-neg-out_binary64`
13×	`unsub-neg_binary64`
12×	`unpow1/3_binary64` `pow-sqr_binary64`
10×	`exp-lft-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
9×	`*-rgt-identity_binary64` `associate-/r/_binary64` `associate--r+_binary64`
8×	`unpow1/2_binary64` `div-sub_binary64` `*-lft-identity_binary64`
7×	`unpow2_binary64` `unpow1_binary64` `cube-mult_binary64`
5×	`cube-unmult_binary64` `associate-+r+_binary64`
4×	`log-div_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+l+_binary64`
2×	`log-rec_binary64` `rem-3cbrt-lft_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `mul-1-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` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

161 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	5796
1	706	5677
2	2648	5448
3	4692	5329
4	4986	5329
5	4956	5329

prune90.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	110	13	123

Error

0.0b

Counts

123 → 13

Compiler

Compiled 6687 to 1365 computations (79.6% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
0.6b	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
0.6b	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 4)

rewrite132.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`cbrt-div_binary64`
35×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`pow1_binary64`
9×	`unpow-prod-down_binary64` `pow1/3_binary64`
8×	`frac-times_binary64`
7×	`add-exp-log_binary64`
6×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-l/_binary64` `associate-r/_binary64` `unswap-sqr_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
10.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 4)
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 6264 to 824 computations (86.8% saved)

series592.0ms (9.5%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

170.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) 4)
133.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))))
127.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))))
89.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Compiler

Compiled 10358 to 5684 computations (45.1% saved)

simplify143.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

466×	`times-frac_binary64`
462×	`associate-r_binary64`
363×	`associate-l_binary64`
264×	`associate-/l*_binary64`
221×	`associate-/r*_binary64`
146×	`sqr-pow_binary64`
143×	`associate-*r/_binary64`
129×	`*-commutative_binary64`
100×	`cancel-sign-sub-inv_binary64`
89×	`associate-*l/_binary64`
78×	`distribute-rgt-neg-in_binary64`
76×	`distribute-lft-neg-in_binary64`
58×	`sub-neg_binary64`
45×	`neg-sub0_binary64`
44×	`neg-mul-1_binary64`
36×	`exp-prod_binary64`
32×	`unswap-sqr_binary64`
21×	`associate-/r/_binary64`
20×	`unpow2_binary64`
17×	`log-prod_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64` `+-commutative_binary64`
11×	`swap-sqr_binary64`
10×	`unpow1/3_binary64` `distribute-rgt-out_binary64`
7×	`unpow3_binary64` `unpow1_binary64` `cube-mult_binary64`
6×	`associate--r+_binary64`
5×	`cube-unmult_binary64`
4×	`log-pow_binary64` `log-div_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
3×	`rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_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-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-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

171 → 128

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	443	7137
1	1218	6768
2	5082	6768

prune108.0ms (1.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	9	9
Picked	0	1	1
Done	1	2	3
Total	126	15	141

Error

0.0b

Counts

141 → 15

Compiler

Compiled 6405 to 1664 computations (74% saved)

regimes822.0ms (13.2%)

Accuracy

Total 0.1b remaining (55.9%)

Threshold costs 0.1b (55.9%)

Compiler

Compiled 18527 to 7691 computations (58.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`unsub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_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` `remove-double-neg_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` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	22	14
2	30	14
3	35	14
4	37	14
5	37	14

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample1.9s (31.1%)

Algorithm

1×

intervals

Results

591.0ms	2040×	body	1024	valid
326.0ms	4486×	body	128	valid
202.0ms	950×	body	512	valid
71.0ms	519×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 779 to 348 computations (55.3% saved)

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Details

analyze294.0ms (4.7%)

sample46.0ms (0.7%)

simplify15.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite59.0ms (1%)

series96.0ms (1.5%)

simplify100.0ms (1.6%)

prune27.0ms (0.4%)

localize16.0ms (0.3%)

rewrite100.0ms (1.6%)

series498.0ms (8%)

simplify161.0ms (2.6%)

prune108.0ms (1.7%)

localize28.0ms (0.5%)

rewrite110.0ms (1.8%)

series470.0ms (7.6%)

simplify235.0ms (3.8%)

prune90.0ms (1.4%)

localize23.0ms (0.4%)

rewrite132.0ms (2.1%)

series592.0ms (9.5%)

simplify143.0ms (2.3%)

prune108.0ms (1.7%)

regimes822.0ms (13.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.9s (31.1%)

Profiling

Iter	Nodes	Cost
0	22	56
1	49	56
2	80	56
3	123	56
4	179	56
5	257	56
6	390	56
7	500	56
8	577	56
9	544	56
10	493	56
0	3	3
1	3	3

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14