Details

analyze661.0ms (1.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`associate-/r_binary64` `-commutative_binary64`
1×	`swap-V-l`
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-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` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	84
1	52	84
2	60	84
3	60	84
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%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Symmetry

(sort V l)

Compiler

Compiled 9 to 9 computations (0% saved)

sample38.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	80×	body	128	nan
1.0ms	37×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× associate-/r*_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-*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 +-commutative_binary64

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	15	12
3	15	12

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

19.5b

Counts

1 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
3.5b	(/.f64 A (*.f64 V l))
19.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite101.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

11.7b

Rules

16×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
9×	`times-frac_binary64`
6×	`pow1_binary64`
3×	`add-log-exp_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-l*_binary64`
2×	`sqrt-div_binary64` `prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 852 to 236 computations (72.3% saved)

series108.0ms (0.3%)

Error

19.5b

Counts

3 → 30

Calls

3 calls:

48.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
31.0ms	(/.f64 A (*.f64 V l))
27.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 798 to 726 computations (9% saved)

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

682×	`div-sub_binary64`
403×	`times-frac_binary64`
347×	`associate-/l*_binary64`
261×	`distribute-rgt-in_binary64`
258×	`associate-l_binary64`
248×	`associate-/r*_binary64`
203×	`associate-*l/_binary64`
190×	`sub-neg_binary64`
174×	`associate-r_binary64`
171×	`associate-*r/_binary64`
166×	`distribute-lft-in_binary64`
161×	`distribute-rgt-neg-in_binary64`
145×	`distribute-neg-frac_binary64`
138×	`distribute-lft-neg-in_binary64`
126×	`unsub-neg_binary64`
123×	`associate-/l/_binary64`
94×	`associate-/r/_binary64`
93×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
87×	`*-commutative_binary64`
73×	`neg-sub0_binary64`
72×	`neg-mul-1_binary64`
68×	`+-commutative_binary64`
55×	`associate-+l+_binary64`
51×	`associate-+l-_binary64`
45×	`distribute-lft-neg-out_binary64`
41×	`associate--r+_binary64`
40×	`associate-+r+_binary64`
37×	`mul0-rgt_binary64` `mul0-lft_binary64`
36×	`associate--l+_binary64`
32×	`div0_binary64`
28×	`pow-sqr_binary64` `unswap-sqr_binary64` `associate--r-_binary64`
25×	`-rgt-identity_binary64` `-lft-identity_binary64`
24×	`associate--l-_binary64`
23×	`swap-sqr_binary64` `distribute-neg-in_binary64`
19×	`log-prod_binary64` `rem-sqrt-square_binary64`
15×	`sub0-neg_binary64`
14×	`exp-prod_binary64` `associate-+r-_binary64`
12×	`/-rgt-identity_binary64`
11×	`distribute-frac-neg_binary64`
10×	`--rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
9×	`cube-prod_binary64`
8×	`log-div_binary64` `cube-unmult_binary64`
7×	`mul-1-neg_binary64`
6×	`+-rgt-identity_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
5×	`unpow1/2_binary64` `cube-div_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64`
3×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
2×	`unpow3_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `prod-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_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` `*-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-rgt-out--_binary64`

Counts

96 → 40

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1180
1	249	1105
2	833	1105
3	2473	1105
4	2892	1105
5	3507	1105
6	4314	1105
7	4894	1105

prune32.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Error

16.4b

Counts

41 → 8

Compiler

Compiled 378 to 156 computations (58.7% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
2.0b	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
3.0b	(/.f64 V (/.f64 (cbrt.f64 A) l))
19.3b	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

rewrite650.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

849×	`times-frac_binary64`
358×	`add-sqr-sqrt_binary64`
331×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
157×	`sqrt-prod_binary64`
146×	`cbrt-prod_binary64`
93×	`associate-/r*_binary64`
79×	`associate-r_binary64`
32×	`add-exp-log_binary64`
24×	`div-inv_binary64`
23×	`add-cbrt-cube_binary64`
15×	`div-exp_binary64` `cbrt-undiv_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64`
6×	`unswap-sqr_binary64`
5×	`rem-sqrt-square_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`associate-l_binary64`
2×	`sqrt-div_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 463

Calls

4 calls:

36.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
22.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
19.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
8.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))

Compiler

Compiled 12467 to 2763 computations (77.8% saved)

series200.0ms (0.6%)

Error

16.4b

Counts

4 → 39

Calls

4 calls:

71.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
53.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
36.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
35.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

Compiler

Compiled 1226 to 1077 computations (12.2% saved)

simplify427.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-/r/_binary64`
563×	`associate-/l/_binary64`
398×	`associate-*l/_binary64`
376×	`associate-l_binary64`
267×	`associate-/l_binary64` `associate-r*_binary64`
229×	`associate-/r*_binary64`
209×	`*-rgt-identity_binary64`
200×	`associate-*r/_binary64`
165×	`times-frac_binary64`
111×	`*-lft-identity_binary64`
99×	`*-commutative_binary64`
67×	`log-prod_binary64` `cancel-sign-sub-inv_binary64`
66×	`sub-neg_binary64`
65×	`div-sub_binary64`
58×	`log-div_binary64`
53×	`cube-prod_binary64`
51×	`sqr-pow_binary64`
47×	`cube-div_binary64`
42×	`neg-sub0_binary64`
39×	`swap-sqr_binary64`
32×	`exp-prod_binary64`
29×	`neg-mul-1_binary64`
22×	`unswap-sqr_binary64`
15×	`/-rgt-identity_binary64`
14×	`unpow3_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `distribute-neg-frac_binary64`
10×	`cube-unmult_binary64`
7×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
5×	`unsub-neg_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64` `div0_binary64`
3×	`log-rec_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
2×	`unpow1/3_binary64` `cube-neg_binary64` `sqr-neg_binary64` `associate--r-_binary64`
1×	`log-pow_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `count-2_binary64` `associate--l+_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` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_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` `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` `rem-cbrt-cube_binary64` `sqr-abs_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

502 → 348

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	13760
1	1442	12618
2	4818	12589
3	4341	12589
4	4992	12589

prune482.0ms (1.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	332	16	348
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	335	21	356

Error

2.3b

Counts

356 → 21

Compiler

Compiled 7042 to 1631 computations (76.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 V)
2.1b	(/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))
2.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
5.6b	(sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l))))

rewrite3.5s (9.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4036×	`times-frac_binary64`
1864×	`add-sqr-sqrt_binary64`
1823×	`*-un-lft-identity_binary64`
1819×	`add-cube-cbrt_binary64`
1507×	`cbrt-prod_binary64`
1006×	`sqrt-prod_binary64`
506×	`associate-r_binary64`
136×	`div-inv_binary64`
83×	`associate-/r*_binary64`
24×	`add-exp-log_binary64`
22×	`associate-/r/_binary64`
15×	`rem-sqrt-square_binary64`
13×	`add-cbrt-cube_binary64`
11×	`div-exp_binary64`
10×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64` `1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow1/3_binary64`

Counts

4 → 1667

Calls

4 calls:

129.0ms	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
61.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l))))
38.0ms	(/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))
1.0ms	(cbrt.f64 V)

Compiler

Compiled 57270 to 22684 computations (60.4% saved)

series356.0ms (1%)

Error

0.9b

Counts

4 → 33

Calls

4 calls:

142.0ms	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
86.0ms	(/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))
78.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l))))
18.0ms	(cbrt.f64 V)

Compiler

Compiled 2078 to 1695 computations (18.4% saved)

simplify1.5s (4%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-/r/_binary64`
583×	`associate-/l/_binary64`
378×	`*-commutative_binary64`
341×	`associate-l_binary64`
161×	`associate-/l*_binary64`
87×	`times-frac_binary64`
44×	`exp-prod_binary64`
23×	`sub-neg_binary64`
22×	`log-prod_binary64`
20×	`associate-/r*_binary64`
18×	`log-div_binary64` `sqr-pow_binary64` `associate-r_binary64`
15×	`/-rgt-identity_binary64`
14×	`neg-sub0_binary64`
12×	`distribute-rgt-in_binary64`
11×	`cube-unmult_binary64` `swap-sqr_binary64`
10×	`neg-mul-1_binary64` `remove-double-div_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
9×	`unswap-sqr_binary64`
8×	`exp-sum_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-in_binary64`
7×	`unpow1/3_binary64` `distribute-lft-neg-in_binary64`
6×	`exp-to-pow_binary64` `exp-neg_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64`
5×	`distribute-neg-frac_binary64` `associate-*l/_binary64` `+-commutative_binary64`
4×	`log-pow_binary64` `log-rec_binary64`
3×	`exp-diff_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `-inverses_binary64` `pow-sqr_binary64` `distribute-frac-neg_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` `pow-base-0_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_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--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`

Counts

1700 → 1487

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1568	62067
1	3384	59062
2	4931	59048
3	4983	59048

prune1.7s (4.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1474	13	1487
Fresh	10	9	19
Picked	1	0	1
Done	0	1	1
Total	1485	23	1508

Error

0.0b

Counts

1508 → 23

Compiler

Compiled 32761 to 10996 computations (66.4% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 V)
0.6b	(cbrt.f64 (/.f64 1 l))
0.6b	(cbrt.f64 (/.f64 1 l))
2.5b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (*.f64 (fabs.f64 (cbrt.f64 (/.f64 1 l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (cbrt.f64 (/.f64 1 l)))))))

rewrite259.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`cbrt-prod_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`associate-*r/_binary64` `cbrt-div_binary64` `div-inv_binary64`
1×	`sqrt-div_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

82.0ms	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (*.f64 (fabs.f64 (cbrt.f64 (/.f64 1 l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (cbrt.f64 (/.f64 1 l)))))))
2.0ms	(cbrt.f64 (/.f64 1 l))
2.0ms	(cbrt.f64 (/.f64 1 l))
1.0ms	(cbrt.f64 V)

Compiler

Compiled 2604 to 1332 computations (48.8% saved)

series250.0ms (0.7%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

165.0ms	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (*.f64 (fabs.f64 (cbrt.f64 (/.f64 1 l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (cbrt.f64 (/.f64 1 l)))))))
20.0ms	(cbrt.f64 (/.f64 1 l))
18.0ms	(cbrt.f64 V)
18.0ms	(cbrt.f64 (/.f64 1 l))

Compiler

Compiled 1685 to 1361 computations (19.2% saved)

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
573×	`*-commutative_binary64`
241×	`associate-l_binary64`
224×	`associate-r_binary64`
223×	`exp-sum_binary64`
155×	`exp-diff_binary64`
154×	`div-sub_binary64`
132×	`log-prod_binary64`
113×	`exp-prod_binary64`
112×	`associate-*r/_binary64`
105×	`associate-/r*_binary64`
76×	`associate-*l/_binary64`
71×	`log-div_binary64`
54×	`sqr-pow_binary64` `associate-/l*_binary64`
51×	`sub-neg_binary64`
44×	`associate-+r-_binary64`
43×	`+-commutative_binary64`
42×	`associate-+l+_binary64`
41×	`associate-+r+_binary64`
39×	`distribute-rgt-in_binary64`
35×	`unswap-sqr_binary64`
34×	`distribute-lft-in_binary64`
31×	`associate-+l-_binary64`
30×	`associate--r+_binary64`
26×	`swap-sqr_binary64`
25×	`associate-/r/_binary64`
22×	`cube-prod_binary64`
20×	`exp-to-pow_binary64`
19×	`neg-sub0_binary64` `associate--l-_binary64`
18×	`exp-neg_binary64`
17×	`neg-mul-1_binary64` `associate--r-_binary64`
15×	`rem-exp-log_binary64` `unsub-neg_binary64` `distribute-lft-neg-in_binary64`
14×	`log-pow_binary64`
13×	`cube-unmult_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `associate-/l/_binary64`
12×	`associate--l+_binary64`
11×	`rem-sqrt-square_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`distribute-neg-out_binary64`
7×	`log-rec_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64`
6×	`unpow1/3_binary64` `distribute-lft-out_binary64`
5×	`*-rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64`
4×	`unpow3_binary64` `cube-mult_binary64`
3×	`prod-exp_binary64` `/-rgt-identity_binary64`
2×	`pow-plus_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
1×	`1-exp_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `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` `unpow2_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`

Counts

99 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2461
1	473	2155
2	1264	2149
3	2996	2128
4	4977	2128

prune58.0ms (0.2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	21	21
Picked	0	1	1
Done	0	1	1
Total	60	23	83

Error

0.0b

Counts

83 → 23

Compiler

Compiled 1014 to 533 computations (47.4% saved)

regimes24.1s (66.1%)

Accuracy

Total 2.1b remaining (94.1%)

Threshold costs 0b (0%)

Compiler

Compiled 306951 to 222147 computations (27.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_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` `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` `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` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	24	43
2	23	43

end11.0ms (0%)

Compiler: Compiled 78 to 63 computations (19.2% saved)

sample1.8s (4.8%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
105.0ms	2933×	body	128	nan
32.0ms	918×	body	128	invalid

Compiler

Compiled 606 to 447 computations (26.2% saved)

Details

analyze661.0ms (1.8%)

sample38.0ms (0.1%)

simplify9.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0%)

rewrite101.0ms (0.3%)

series108.0ms (0.3%)

simplify121.0ms (0.3%)

prune32.0ms (0.1%)

localize11.0ms (0%)

rewrite650.0ms (1.8%)

series200.0ms (0.6%)

simplify427.0ms (1.2%)

prune482.0ms (1.3%)

localize18.0ms (0.1%)

rewrite3.5s (9.7%)

series356.0ms (1%)

simplify1.5s (4%)

prune1.7s (4.6%)

localize18.0ms (0%)

rewrite259.0ms (0.7%)

series250.0ms (0.7%)

simplify102.0ms (0.3%)

prune58.0ms (0.2%)

regimes24.1s (66.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end11.0ms (0%)

sample1.8s (4.8%)

Profiling