Details

analyze549.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

11×	`+-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` `times-frac_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-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	154
1	43	154
2	43	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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2× *-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 erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 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-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 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	16	22
2	16	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

27.5b

Counts

1 → 1

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b	(+.f64 (.f64 a c) (.f64 b d))
27.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite79.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
3.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1186 to 158 computations (86.7% saved)

series132.0ms (2.3%)

Error

5.7b

Counts

2 → 48

Calls

2 calls:

78.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
39.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1154 to 906 computations (21.5% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

781×	`distribute-rgt-in_binary64`
412×	`associate-l_binary64`
333×	`associate-r_binary64`
282×	`unswap-sqr_binary64`
274×	`times-frac_binary64`
233×	`cancel-sign-sub-inv_binary64`
176×	`distribute-rgt-out_binary64`
166×	`distribute-lft-in_binary64`
147×	`*-commutative_binary64`
135×	`distribute-rgt-neg-in_binary64`
113×	`distribute-lft-neg-in_binary64`
109×	`distribute-lft-out_binary64`
84×	`associate-/l*_binary64`
73×	`sub-neg_binary64`
58×	`sqr-pow_binary64`
55×	`distribute-lft-neg-out_binary64`
54×	`associate-*l/_binary64`
53×	`associate-/r*_binary64`
47×	`associate-/l/_binary64`
41×	`associate-*r/_binary64`
38×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
33×	`associate-+l+_binary64` `associate-+r+_binary64`
32×	`distribute-rgt-neg-out_binary64`
30×	`associate-/r/_binary64`
23×	`difference-of-squares_binary64` `+-commutative_binary64`
22×	`distribute-rgt-out--_binary64`
18×	`cube-prod_binary64`
17×	`div-sub_binary64` `unsub-neg_binary64`
14×	`associate-+r-_binary64`
13×	`cube-unmult_binary64`
12×	`exp-prod_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
10×	`unpow3_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64`
9×	`sub0-neg_binary64`
8×	`*-rgt-identity_binary64`
7×	`distribute-neg-frac_binary64`
6×	`pow-plus_binary64` `cube-mult_binary64`
4×	`*-lft-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64`
3×	`log-div_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64` `associate--r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-div_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-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-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` `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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

90 → 72

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	1920
1	272	1791
2	812	1791
3	2479	1791
4	5127	1791

prune47.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Error

7.3b

Counts

73 → 7

Compiler

Compiled 1174 to 234 computations (80.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (.f64 d b) (.f64 c a))
17.4b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.3b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite96.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

23×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`sqrt-prod_binary64` `times-frac_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64` `associate-/r*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-/l*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 2937 to 336 computations (88.6% saved)

series283.0ms (4.9%)

Error

7.2b

Counts

4 → 91

Calls

4 calls:

107.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
44.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
44.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
43.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 4537 to 2801 computations (38.3% saved)

simplify201.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-l_binary64`
420×	`times-frac_binary64`
324×	`associate-/l*_binary64`
238×	`associate-/r*_binary64`
199×	`cancel-sign-sub-inv_binary64`
168×	`associate-*l/_binary64`
152×	`neg-sub0_binary64`
151×	`distribute-rgt-neg-in_binary64`
143×	`neg-mul-1_binary64` `associate-*r/_binary64`
138×	`distribute-lft-neg-in_binary64`
122×	`sub-neg_binary64`
110×	`distribute-rgt-in_binary64`
85×	`associate-r_binary64`
83×	`distribute-lft-in_binary64` `associate-/r/_binary64`
70×	`distribute-neg-frac_binary64`
68×	`*-commutative_binary64`
67×	`sqr-pow_binary64`
60×	`unswap-sqr_binary64`
58×	`div-sub_binary64`
56×	`associate-/l/_binary64`
38×	`+-commutative_binary64`
36×	`unpow3_binary64`
31×	`unsub-neg_binary64`
30×	`cube-prod_binary64` `difference-of-squares_binary64`
25×	`distribute-rgt-out_binary64`
17×	`distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
15×	`cube-unmult_binary64` `cube-mult_binary64` `associate--r+_binary64`
14×	`pow-plus_binary64` `exp-prod_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
12×	`associate--l+_binary64`
10×	`cube-div_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64`
9×	`*-rgt-identity_binary64`
7×	`associate-+l+_binary64`
5×	`*-lft-identity_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
4×	`log-div_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `div0_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
3×	`+-rgt-identity_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-square-sqrt_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` `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` `remove-double-neg_binary64` `sub0-neg_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r+_binary64`

Counts

175 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	3721
1	455	3558
2	1394	3552
3	4539	3552
4	4945	3552
5	4994	3552
6	4957	3552

prune66.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	104	9	113

Error

7.2b

Counts

113 → 9

Compiler

Compiled 2034 to 486 computations (76.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

17.9b	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
17.9b	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
17.9b	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
18.2b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a))) (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a))) (+.f64 (.f64 c c) (.f64 d d))))

rewrite130.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

30×	`cbrt-div_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
19×	`cbrt-prod_binary64`
16×	`add-exp-log_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64`
12×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `unswap-sqr_binary64` `pow1/3_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
1×	`associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

25.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a))) (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a))) (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
3.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
3.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))

Compiler

Compiled 5302 to 461 computations (91.3% saved)

series412.0ms (7.1%)

Error

7.2b

Counts

4 → 90

Calls

4 calls:

94.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
93.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
91.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
81.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a))) (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))) (/.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 c a))) (+.f64 (.f64 c c) (.f64 d d))))

Compiler

Compiled 8695 to 4864 computations (44.1% saved)

simplify206.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

787×	`times-frac_binary64`
271×	`associate-l_binary64`
260×	`associate-r_binary64`
216×	`distribute-rgt-in_binary64`
205×	`distribute-lft-in_binary64`
204×	`*-commutative_binary64`
167×	`associate-/l*_binary64`
165×	`associate-/l/_binary64`
132×	`exp-sum_binary64`
119×	`unswap-sqr_binary64`
113×	`associate-*r/_binary64`
86×	`exp-prod_binary64`
79×	`cancel-sign-sub-inv_binary64`
76×	`sqr-pow_binary64`
71×	`associate-/r*_binary64`
62×	`sub-neg_binary64`
50×	`distribute-rgt-neg-in_binary64`
48×	`exp-diff_binary64`
47×	`associate-*l/_binary64`
45×	`distribute-lft-neg-in_binary64`
41×	`log-prod_binary64`
35×	`+-commutative_binary64`
30×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-rgt-identity_binary64`
26×	`*-lft-identity_binary64`
21×	`distribute-rgt-out_binary64`
20×	`exp-neg_binary64`
19×	`log-div_binary64`
18×	`distribute-lft-neg-out_binary64`
16×	`cube-prod_binary64` `distribute-lft-out_binary64`
15×	`unpow3_binary64`
13×	`associate-/r/_binary64`
12×	`pow-plus_binary64` `unsub-neg_binary64` `pow-sqr_binary64`
10×	`unpow1/3_binary64` `div-sub_binary64`
9×	`log-pow_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
8×	`exp-to-pow_binary64` `cube-unmult_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
7×	`swap-sqr_binary64`
6×	`cube-mult_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64` `associate-+l+_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `associate-+r-_binary64`
2×	`cube-div_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_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` `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-lft-sqr_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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

192 → 174

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	6542
1	787	6251
2	2437	6191
3	4797	6143
4	5068	6143

prune111.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	175	8	183

Error

7.2b

Counts

183 → 8

Compiler

Compiled 5807 to 952 computations (83.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

12.6b	(.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 a c))) (/.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d))))
17.9b	(cbrt.f64 (+.f64 (.f64 d b) (.f64 a c)))
17.9b	(cbrt.f64 (+.f64 (.f64 d b) (.f64 a c)))
17.9b	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))

rewrite112.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

38×	`add-sqr-sqrt_binary64`
26×	`cbrt-prod_binary64`
24×	`associate-r_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
10×	`cbrt-div_binary64`
9×	`add-exp-log_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64` `flip3-+_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-*l/_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 a c))) (/.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d))))
4.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 a c)))
3.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))
3.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 a c)))

Compiler

Compiled 4554 to 439 computations (90.4% saved)

series501.0ms (8.6%)

Error

7.2b

Counts

4 → 88

Calls

4 calls:

148.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 a c))) (/.f64 (cbrt.f64 (+.f64 (.f64 d b) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d))))
94.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 a c)))
94.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 a c)))
92.0ms	(cbrt.f64 (+.f64 (.f64 d b) (.f64 c a)))

Compiler

Compiled 10890 to 6648 computations (39% saved)

simplify202.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

267×	`associate-r_binary64`
252×	`times-frac_binary64`
243×	`associate-l_binary64`
223×	`associate-/l*_binary64`
217×	`*-commutative_binary64`
215×	`exp-prod_binary64`
197×	`distribute-rgt-in_binary64`
190×	`distribute-lft-in_binary64`
172×	`unswap-sqr_binary64`
169×	`associate-/r*_binary64`
122×	`sqr-pow_binary64`
117×	`associate-*r/_binary64`
96×	`cancel-sign-sub-inv_binary64`
94×	`associate-*l/_binary64`
86×	`sub-neg_binary64`
76×	`distribute-rgt-neg-in_binary64`
70×	`distribute-lft-neg-in_binary64`
64×	`exp-sum_binary64`
51×	`+-commutative_binary64`
48×	`log-prod_binary64`
47×	`neg-mul-1_binary64` `neg-sub0_binary64`
36×	`exp-to-pow_binary64` `*-rgt-identity_binary64`
35×	`distribute-lft-neg-out_binary64`
32×	`associate-/l/_binary64`
28×	`unsub-neg_binary64`
27×	`*-lft-identity_binary64`
25×	`distribute-rgt-neg-out_binary64`
23×	`unpow1/3_binary64`
20×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
18×	`div-sub_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
17×	`log-div_binary64`
16×	`unpow3_binary64` `exp-lft-sqr_binary64` `exp-diff_binary64` `pow-sqr_binary64`
15×	`cube-prod_binary64`
14×	`distribute-lft-out--_binary64`
13×	`swap-sqr_binary64`
12×	`log-pow_binary64` `distribute-neg-in_binary64`
11×	`/-rgt-identity_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`pow-plus_binary64` `cube-mult_binary64`
8×	`cube-unmult_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64` `difference-of-squares_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `cube-div_binary64`
3×	`associate-+r-_binary64`
2×	`rem-3cbrt-lft_binary64` `associate-+l-_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`

Counts

181 → 167

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	377	6403
1	1033	5927
2	3359	5780
3	4861	5666
4	5051	5666

prune115.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	166	9	175

Error

7.2b

Counts

175 → 9

Compiler

Compiled 6182 to 1044 computations (83.1% saved)

regimes1.4s (24.5%)

Accuracy

Total 7.9b remaining (54%)

Threshold costs 0b (0%)

Compiler

Compiled 11684 to 6416 computations (45.1% saved)

bsearch64.0ms (1.1%)

Steps

Iters	Range		Point
8	1.1206515766963426e+109	2.0941289985188146e+112	4.6122899397645205e+110
8	8.072578226233312e-119	8.348583258274886e-115	8.461756974617389e-119
8	-7.403937533133293e-111	-1.1325550453202653e-114	-2.5745863487788416e-111
6	-6.390321185109893e+147	-1.4405428724937755e+147	-1.9684429409544687e+147

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-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-abs_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	32	124
1	36	124
2	36	124

end1.0ms (0%)

Compiler: Compiled 83 to 29 computations (65.1% saved)

sample917.0ms (15.7%)

Algorithm

1×

intervals

Results

338.0ms	8000×	body	128	valid
22.0ms	450×	body	128	invalid

Compiler

Compiled 331 to 201 computations (39.3% saved)

Details

analyze549.0ms (9.4%)

sample22.0ms (0.4%)

simplify12.0ms (0.2%)

prune1.0ms (0%)

localize10.0ms (0.2%)

rewrite79.0ms (1.3%)

series132.0ms (2.3%)

simplify81.0ms (1.4%)

prune47.0ms (0.8%)

localize12.0ms (0.2%)

rewrite96.0ms (1.6%)

series283.0ms (4.9%)

simplify201.0ms (3.4%)

prune66.0ms (1.1%)

localize18.0ms (0.3%)

rewrite130.0ms (2.2%)

series412.0ms (7.1%)

simplify206.0ms (3.5%)

prune111.0ms (1.9%)

localize19.0ms (0.3%)

rewrite112.0ms (1.9%)

series501.0ms (8.6%)

simplify202.0ms (3.5%)

prune115.0ms (2%)

regimes1.4s (24.5%)

bsearch64.0ms (1.1%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample917.0ms (15.7%)

Profiling