Details

analyze908.0ms (12.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

32×	`associate-/l*_binary64`
22×	`associate-/r/_binary64` `associate-*r/_binary64`
20×	`associate-/r*_binary64`
10×	`times-frac_binary64` `associate-/l/_binary64` `associate-l/_binary64` `-commutative_binary64`
6×	`+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	154
1	83	154
2	157	154
3	173	154
4	171	154
5	171	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
7.0ms	177×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`associate-/l*_binary64`
6×	`associate-/r/_binary64` `associate-*r/_binary64`
4×	`associate-/r*_binary64`
2×	`times-frac_binary64` `associate-/l/_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`+-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	22
2	43	22
3	51	22
4	49	22
5	49	22

prune1.0ms (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

32.7b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
17.8b	(/.f64 (.f64 z z) (.f64 t t))
22.0b	(/.f64 (.f64 x x) (.f64 y y))

rewrite95.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
5×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
1×	`sum-log_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

13.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

Compiler

Compiled 1287 to 211 computations (83.6% saved)

series146.0ms (2.1%)

Error

28.9b

Counts

3 → 36

Calls

3 calls:

97.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
22.0ms	(/.f64 (.f64 z z) (.f64 t t))
21.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 863 to 823 computations (4.6% saved)

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-/l*_binary64`
645×	`associate-*l/_binary64`
471×	`associate-*r/_binary64`
384×	`associate-/r*_binary64`
342×	`unswap-sqr_binary64`
226×	`associate-/l/_binary64`
200×	`times-frac_binary64`
199×	`associate-/r/_binary64`
76×	`sqr-pow_binary64` `distribute-rgt-in_binary64`
74×	`cancel-sign-sub-inv_binary64`
72×	`associate-l_binary64`
71×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
62×	`distribute-lft-in_binary64`
55×	`distribute-rgt-neg-in_binary64`
52×	`distribute-neg-frac_binary64`
49×	`distribute-lft-neg-in_binary64`
48×	`log-div_binary64`
44×	`cube-div_binary64` `associate-r_binary64`
42×	`*-commutative_binary64`
32×	`div-sub_binary64`
26×	`log-prod_binary64`
20×	`unpow3_binary64`
18×	`cube-prod_binary64`
16×	`pow-sqr_binary64`
14×	`pow-plus_binary64`
13×	`+-commutative_binary64`
12×	`log-pow_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`swap-sqr_binary64` `distribute-rgt-out_binary64`
9×	`unsub-neg_binary64`
8×	`cube-mult_binary64` `distribute-lft-out_binary64`
7×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`rem-sqrt-square_binary64`
5×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-prod_binary64` `div0_binary64` `count-2_binary64` `associate--l+_binary64` `associate--r+_binary64`
2×	`distribute-neg-in_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `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` `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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-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` `associate--r-_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

91 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1476
1	327	1361
2	1168	1266
3	4218	1257
4	4999	1257
5	4968	1257

prune30.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	7	67

Error

4.0b

Counts

67 → 7

Compiler

Compiled 415 to 165 computations (60.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (/.f64 (.f64 z z) (*.f64 t t)))
0.3b	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))
17.8b	(/.f64 (.f64 z z) (.f64 t t))

rewrite90.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `sqr-abs_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 58

Calls

3 calls:

8.0ms	(+.f64 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (/.f64 (.f64 z z) (*.f64 t t)))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))
3.0ms	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

Compiler

Compiled 1430 to 200 computations (86% saved)

series112.0ms (1.6%)

Error

1.9b

Counts

3 → 30

Calls

3 calls:

70.0ms	(+.f64 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (/.f64 (.f64 z z) (*.f64 t t)))
22.0ms	(/.f64 (.f64 z z) (.f64 t t))
15.0ms	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

Compiler

Compiled 805 to 721 computations (10.4% saved)

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

623×	`times-frac_binary64`
521×	`associate-l_binary64`
407×	`associate-r_binary64`
385×	`associate-/l*_binary64`
356×	`associate-*l/_binary64`
304×	`associate-*r/_binary64`
192×	`associate-/r*_binary64`
151×	`log-prod_binary64`
112×	`unswap-sqr_binary64`
99×	`associate-/l/_binary64`
96×	`associate-/r/_binary64`
89×	`cancel-sign-sub-inv_binary64`
81×	`sqr-pow_binary64`
79×	`difference-of-squares_binary64`
70×	`distribute-rgt-in_binary64`
69×	`sub-neg_binary64`
65×	`distribute-rgt-neg-in_binary64`
64×	`neg-sub0_binary64`
58×	`cube-prod_binary64`
57×	`neg-mul-1_binary64` `distribute-lft-in_binary64`
55×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
50×	`log-div_binary64`
49×	`exp-prod_binary64`
36×	`distribute-neg-frac_binary64`
33×	`div-sub_binary64`
31×	`pow-plus_binary64`
30×	`cube-div_binary64`
29×	`*-lft-identity_binary64`
24×	`-rgt-identity_binary64` `-commutative_binary64`
23×	`log-pow_binary64`
21×	`pow-sqr_binary64`
12×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`+-commutative_binary64`
9×	`distribute-lft-out_binary64`
8×	`unsub-neg_binary64` `swap-sqr_binary64`
7×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
6×	`cube-mult_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
3×	`unpow1_binary64`
2×	`/-rgt-identity_binary64` `div0_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_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-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `associate--r-_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

88 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	1404
1	238	1233
2	861	1159
3	4345	1138
4	4824	1131
5	4957	1131

prune42.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	59	11	70

Error

0.1b

Counts

70 → 11

Compiler

Compiled 800 to 323 computations (59.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))))

0.3b

(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

0.3b

(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

rewrite96.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64`
15×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`
2×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqr-abs_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

4.0ms

(+.f64 (*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))))

4.0ms

(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

3.0ms

(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

Compiler

Compiled 1581 to 194 computations (87.7% saved)

series83.0ms (1.2%)

Error

0.1b

Counts

3 → 24

Calls

3 calls:

47.0ms

(+.f64 (*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))))

17.0ms

(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

15.0ms

(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

Compiler

Compiled 741 to 621 computations (16.2% saved)

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

718×	`unswap-sqr_binary64`
337×	`difference-of-squares_binary64`
325×	`cancel-sign-sub-inv_binary64`
287×	`sub-neg_binary64`
237×	`distribute-rgt-neg-in_binary64`
198×	`distribute-lft-neg-in_binary64`
193×	`neg-mul-1_binary64`
189×	`neg-sub0_binary64`
163×	`*-commutative_binary64`
123×	`log-prod_binary64`
111×	`associate-*r/_binary64`
106×	`associate-*l/_binary64`
103×	`exp-prod_binary64`
94×	`distribute-rgt-out_binary64`
87×	`associate-r_binary64`
86×	`sqr-pow_binary64`
85×	`associate-l_binary64`
84×	`distribute-neg-frac_binary64`
81×	`cube-prod_binary64`
67×	`distribute-rgt-in_binary64`
61×	`distribute-rgt-out--_binary64`
56×	`distribute-lft-in_binary64`
48×	`times-frac_binary64`
32×	`rem-sqrt-square_binary64`
30×	`unpow3_binary64` `pow-plus_binary64`
28×	`distribute-lft-neg-out_binary64`
26×	`pow-sqr_binary64`
24×	`log-pow_binary64` `unsub-neg_binary64`
20×	`log-div_binary64` `cube-div_binary64`
19×	`associate-+l+_binary64`
18×	`cube-mult_binary64` `+-commutative_binary64`
15×	`swap-sqr_binary64` `associate-+r+_binary64`
12×	`associate-/l*_binary64`
11×	`cube-unmult_binary64` `*-rgt-identity_binary64`
9×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
8×	`div-sub_binary64` `*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
7×	`associate-+r-_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `+-rgt-identity_binary64` `count-2_binary64`
5×	`associate-+l-_binary64`
4×	`exp-sum_binary64` `distribute-lft-out--_binary64`
3×	`sub0-neg_binary64`
2×	`unpow1_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `associate--l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

87 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	1323
1	183	1183
2	641	1152
3	1831	1117
4	4202	1039
5	5030	1039

prune55.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	49	12	61

Error

0.1b

Counts

61 → 12

Compiler

Compiled 931 to 387 computations (58.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
0.3b	(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
0.3b	(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
11.0b	(sqrt.f64 (fabs.f64 (/.f64 x y)))

rewrite156.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
14×	`pow1_binary64`
12×	`add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`sqrt-prod_binary64` `associate-l_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `prod-exp_binary64` `sqr-pow_binary64`
3×	`pow-prod-up_binary64` `swap-sqr_binary64` `pow-unpow_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`rem-sqrt-square_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-plus_binary64` `sqr-abs_binary64` `pow-sqr_binary64` `pow-pow_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
3.0ms	(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
2.0ms	(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 x y)))

Compiler

Compiled 2298 to 572 computations (75.1% saved)

series88.0ms (1.2%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

35.0ms	(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
17.0ms	(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
17.0ms	(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
16.0ms	(sqrt.f64 (fabs.f64 (/.f64 x y)))

Compiler

Compiled 1040 to 700 computations (32.7% saved)

simplify168.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-r_binary64`
419×	`*-commutative_binary64`
353×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`
312×	`associate-*l/_binary64`
284×	`sqr-pow_binary64`
275×	`associate-*r/_binary64`
270×	`log-prod_binary64`
237×	`exp-prod_binary64`
148×	`cube-prod_binary64`
144×	`swap-sqr_binary64`
106×	`unswap-sqr_binary64`
92×	`associate-l_binary64`
88×	`pow-plus_binary64` `pow-sqr_binary64`
85×	`associate-/l*_binary64`
77×	`log-pow_binary64`
67×	`times-frac_binary64`
64×	`associate-+l+_binary64`
60×	`unpow3_binary64`
57×	`associate-+r+_binary64`
52×	`*-lft-identity_binary64`
39×	`*-rgt-identity_binary64`
35×	`log-div_binary64`
32×	`cube-mult_binary64`
28×	`cube-div_binary64` `distribute-rgt-out_binary64`
27×	`rem-sqrt-square_binary64`
23×	`associate-/l/_binary64`
20×	`cube-unmult_binary64`
19×	`associate-/r*_binary64`
15×	`distribute-lft-out_binary64`
13×	`unpow1/2_binary64`
12×	`sub-neg_binary64`
11×	`unpow2_binary64` `count-2_binary64` `associate-/r/_binary64`
6×	`pow-base-1_binary64` `+-commutative_binary64`
5×	`unpow1_binary64`
4×	`associate-+l-_binary64`
3×	`log-rec_binary64` `/-rgt-identity_binary64` `associate-+r-_binary64`
2×	`rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `neg-mul-1_binary64` `neg-sub0_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` `unpow1/3_binary64` `exp-to-pow_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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

113 → 64

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	106	1671
1	190	1544
2	520	1423
3	1287	1399
4	2922	1353
5	4819	1329
6	4964	1329
7	4996	1329
8	4888	1329

prune59.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	64	12	76

Error

0.0b

Counts

76 → 12

Compiler

Compiled 898 to 251 computations (72% saved)

regimes3.1s (43.9%)

Accuracy

Total 0.4b remaining (85.4%)

Threshold costs 0.4b (85.4%)

Compiler

Compiled 56760 to 34712 computations (38.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× sqr-abs_binary64 *-commutative_binary64 +-commutative_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-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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-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 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	18	31
2	18	31

end1.0ms (0%)

Compiler: Compiled 20 to 13 computations (35% saved)

sample1.5s (20.6%)

Algorithm

1×

intervals

Results

361.0ms	8000×	body	128	valid
270.0ms	6068×	body	128	invalid

Compiler

Compiled 354 to 244 computations (31.1% saved)

Details

analyze908.0ms (12.8%)

sample35.0ms (0.5%)

simplify10.0ms (0.1%)

prune1.0ms (0%)

localize10.0ms (0.1%)

rewrite95.0ms (1.3%)

series146.0ms (2.1%)

simplify102.0ms (1.4%)

prune30.0ms (0.4%)

localize9.0ms (0.1%)

rewrite90.0ms (1.3%)

series112.0ms (1.6%)

simplify108.0ms (1.5%)

prune42.0ms (0.6%)

localize9.0ms (0.1%)

rewrite96.0ms (1.3%)

series83.0ms (1.2%)

simplify94.0ms (1.3%)

prune55.0ms (0.8%)

localize14.0ms (0.2%)

rewrite156.0ms (2.2%)

series88.0ms (1.2%)

simplify168.0ms (2.4%)

prune59.0ms (0.8%)

regimes3.1s (43.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.5s (20.6%)

Profiling