Details

analyze308.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample46.0ms (1.3%)

Algorithm

1×

intervals

Results

24.0ms	100×	body	8192	exit
8.0ms	207×	body	128	valid
3.0ms	22×	body	512	valid
2.0ms	26×	body	256	valid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify240.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4886	18
1	4886	18

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 12.6b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_3784`
48×	`add-sqr-sqrt_binary64_3805`
38×	`times-frac_binary64_3790`
23×	`add-cube-cbrt_binary64_3816`
10×	`difference-of-squares_binary64_3753`
9×	`associate-/l*_binary64_3731`
8×	`distribute-lft-out_binary64_3737`
7×	`associate-/r*_binary64_3730` `add-cbrt-cube_binary64_3817`
6×	`add-exp-log_binary64_3819`
5×	`distribute-lft-out--_binary64_3738` `add-log-exp_binary64_3820`
3×	`pow1_binary64_3842`
2×	`flip-+_binary64_3758` `clear-num_binary64_3783` `flip3-+_binary64_3787` `div-inv_binary64_3781` `associate-/r/_binary64_3732` `div-sub_binary64_3789` `associate-/l/_binary64_3733` `div-exp_binary64_3832` `frac-2neg_binary64_3795` `cbrt-undiv_binary64_3815`
1×	`associate-+r-_binary64_3720` `sum-log_binary64_3872` `+-commutative_binary64_3716` `flip3--_binary64_3788` `flip--_binary64_3759`

Counts

3 → 91

Calls

3 calls:

25.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
15.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series233.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
73.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
62.0ms	(/.f64 x (exp.f64 wj))

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5056	2095

prune101.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0.1b

Counts

102 → 4

Compiler

Compiled 2050 to 836 computations (59.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_3805`
3×	`add-exp-log_binary64_3819` `associate-r_binary64_3726` `associate-l_binary64_3727` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817` `add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
2×	`associate-*r/_binary64_3728`
1×	`flip-+_binary64_3758` `unswap-sqr_binary64_3752` `flip3-+_binary64_3787` `prod-exp_binary64_3830` `*-commutative_binary64_3717` `add-log-exp_binary64_3820` `pow-prod-down_binary64_3852` `distribute-lft-in_binary64_3735` `distribute-rgt-in_binary64_3736` `cbrt-unprod_binary64_3814`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

series61.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

61.0ms

(*.f64 wj (+.f64 wj (*.f64 x -2)))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5340	316

prune25.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0.1b

Counts

29 → 5

Compiler

Compiled 433 to 269 computations (37.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))
0.3b	(pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)
24.1b	(cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_3805`
8×	`add-exp-log_binary64_3819` `cbrt-prod_binary64_3812` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817`
7×	`add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
6×	`associate-*r/_binary64_3728`
4×	`cube-div_binary64_3810`
3×	`flip-+_binary64_3758` `pow-unpow_binary64_3858` `associate-r_binary64_3726` `associate-l_binary64_3727` `flip3-+_binary64_3787` `add-log-exp_binary64_3820`
2×	`unpow3_binary64_3847` `cube-mult_binary64_3811` `pow-exp_binary64_3849` `prod-exp_binary64_3830` `rem-cube-cbrt_binary64_3806` `sqr-pow_binary64_3756` `pow-prod-down_binary64_3852` `unpow-prod-down_binary64_3860` `cbrt-div_binary64_3813` `pow-pow_binary64_3853` `cube-prod_binary64_3809` `cbrt-unprod_binary64_3814`
1×	`unswap-sqr_binary64_3752` `pow1/3_binary64_3863` `pow-to-exp_binary64_3850` `*-commutative_binary64_3717` `distribute-lft-in_binary64_3735` `distribute-rgt-in_binary64_3736` `rem-cbrt-cube_binary64_3807`

Counts

3 → 65

Calls

3 calls:

6.0ms	(pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)
6.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
3.0ms	(cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3))

series214.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

83.0ms	(pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)
74.0ms	(cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3))
56.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5257	1122

prune71.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0.1b

Counts

79 → 5

Compiler

Compiled 1346 to 899 computations (33.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (exp.f64 (neg.f64 wj)))
0.0b	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
5.3b	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_3784`
16×	`add-sqr-sqrt_binary64_3805`
14×	`add-cube-cbrt_binary64_3816`
12×	`times-frac_binary64_3790`
7×	`add-cbrt-cube_binary64_3817`
6×	`add-exp-log_binary64_3819`
5×	`distribute-lft-out_binary64_3737` `add-log-exp_binary64_3820` `pow1_binary64_3842`
4×	`associate-/r*_binary64_3730`
3×	`associate-r_binary64_3726` `associate-l_binary64_3727` `associate-/l*_binary64_3731`
2×	`flip-+_binary64_3758` `flip3-+_binary64_3787` `exp-neg_binary64_3828` `associate-/r/_binary64_3732` `associate-*r/_binary64_3728` `div-sub_binary64_3789` `associate-/l/_binary64_3733`
1×	`associate-+r-_binary64_3720` `unswap-sqr_binary64_3752` `clear-num_binary64_3783` `sum-log_binary64_3872` `+-commutative_binary64_3716` `prod-exp_binary64_3830` `*-commutative_binary64_3717` `div-inv_binary64_3781` `flip3--_binary64_3788` `exp-diff_binary64_3829` `pow-prod-down_binary64_3852` `un-div-inv_binary64_3782` `div-exp_binary64_3832` `frac-2neg_binary64_3795` `neg-sub0_binary64_3779` `flip--_binary64_3759` `cbrt-undiv_binary64_3815` `cbrt-unprod_binary64_3814`

Counts

3 → 70

Calls

3 calls:

17.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))
13.0ms	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
8.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))

series215.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1))
74.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 x (exp.f64 (neg.f64 wj))) wj) (+.f64 wj 1)))
56.0ms	(*.f64 x (exp.f64 (neg.f64 wj)))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4973	1462
1	4973	1462

prune62.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	5	84

Merged error: 0.1b

Counts

84 → 5

Compiler

Compiled 1491 to 606 computations (59.4% saved)

regimes27.0ms (0.8%)

Compiler: Compiled 176 to 122 computations (30.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.6s (45.3%)

Algorithm

1×

intervals

Results

862.0ms	3845×	body	8192	exit
253.0ms	6578×	body	128	valid
87.0ms	694×	body	512	valid
58.0ms	707×	body	256	valid
4.0ms	21×	body	1024	valid
4.0ms	78×	body	128	invalid
1.0ms	16×	body	128	overflowed

Compiler

Compiled 129 to 86 computations (33.3% saved)

Details

analyze308.0ms (8.5%)

sample46.0ms (1.3%)

simplify240.0ms (6.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite53.0ms (1.4%)

series233.0ms (6.4%)

simplify53.0ms (1.5%)

prune101.0ms (2.8%)

localize6.0ms (0.2%)

rewrite8.0ms (0.2%)

series61.0ms (1.7%)

simplify57.0ms (1.6%)

prune25.0ms (0.7%)

localize9.0ms (0.2%)

rewrite20.0ms (0.5%)

series214.0ms (5.9%)

simplify49.0ms (1.4%)

prune71.0ms (2%)

localize9.0ms (0.2%)

rewrite44.0ms (1.2%)

series215.0ms (5.9%)

simplify67.0ms (1.8%)

prune62.0ms (1.7%)

regimes27.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (45.3%)

Profiling