Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify134.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune2.0ms (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: 8.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.5b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_3510`
28×	`*-un-lft-identity_binary64_3488`
19×	`times-frac_binary64_3494`
14×	`add-cube-cbrt_binary64_3523`
10×	`difference-of-squares_binary64_3457`
6×	`associate-/r*_binary64_3432`
5×	`distribute-lft-out--_binary64_3440`
4×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527`
3×	`cancel-sign-sub-inv_binary64_3454` `associate-/l*_binary64_3433`
2×	`flip3--_binary64_3492` `associate-/r/_binary64_3434` `flip--_binary64_3463` `pow1_binary64_3549`
1×	`clear-num_binary64_3487` `diff-log_binary64_3580` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `sub-neg_binary64_3481`

Counts

2 → 58

Calls

2 calls:

14.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series58.0ms (2%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
25.0ms	(/.f64 x0 (-.f64 1 x1))

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5131	940

prune50.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 6.7b

Counts

65 → 2

Compiler

Compiled 896 to 538 computations (40% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.0b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite56.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64_3488`
52×	`add-sqr-sqrt_binary64_3510`
22×	`add-cube-cbrt_binary64_3523`
19×	`times-frac_binary64_3494`
18×	`difference-of-squares_binary64_3457`
11×	`distribute-lft-out--_binary64_3440` `pow1_binary64_3549`
9×	`cancel-sign-sub-inv_binary64_3454`
8×	`swap-sqr_binary64_3455` `flip3--_binary64_3492` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `flip--_binary64_3463`
6×	`associate-/r_binary64_3432` `associate-l_binary64_3429` `associate-r*_binary64_3428`
4×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `frac-times_binary64_3498`
3×	`associate-/l*_binary64_3433` `sub-neg_binary64_3481`
2×	`associate-l/_binary64_3431` `associate-/r/_binary64_3434` `associate-r/_binary64_3430`
1×	`distribute-lft-out_binary64_3439` `clear-num_binary64_3487` `pow-prod-up_binary64_3558` `unswap-sqr_binary64_3456` `flip-+_binary64_3462` `diff-log_binary64_3580` `flip3-+_binary64_3491` `cbrt-unprod_binary64_3521` `+-commutative_binary64_3418` `pow2_binary64_3569` `pow-prod-down_binary64_3559` `pow-plus_binary64_3551` `frac-2neg_binary64_3499` `*-commutative_binary64_3419` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `pow-sqr_binary64_3461` `div-inv_binary64_3485` `prod-exp_binary64_3537`

Counts

4 → 122

Calls

4 calls:

16.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
12.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series125.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
30.0ms	(/.f64 x0 (-.f64 1 x1))
28.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
9.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))

simplify65.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5011	1914

prune162.0ms (5.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Merged error: 5.3b

Counts

136 → 2

Compiler

Compiled 3610 to 2261 computations (37.4% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 x1 (+.f64 x1 -2))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.0b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_3510`
36×	`*-un-lft-identity_binary64_3488`
19×	`times-frac_binary64_3494`
18×	`add-cube-cbrt_binary64_3523`
10×	`difference-of-squares_binary64_3457`
8×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527`
6×	`associate-/r*_binary64_3432` `pow1_binary64_3549`
5×	`distribute-lft-out--_binary64_3440`
4×	`associate-r_binary64_3428`
3×	`cancel-sign-sub-inv_binary64_3454` `associate-/l_binary64_3433` `associate-l*_binary64_3429`
2×	`distribute-lft-out_binary64_3439` `flip3--_binary64_3492` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `associate-*r/_binary64_3430` `flip--_binary64_3463`
1×	`distribute-lft-in_binary64_3437` `clear-num_binary64_3487` `distribute-rgt-in_binary64_3438` `unswap-sqr_binary64_3456` `diff-log_binary64_3580` `cbrt-unprod_binary64_3521` `+-commutative_binary64_3418` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `*-commutative_binary64_3419` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `prod-exp_binary64_3537` `sub-neg_binary64_3481`

Counts

4 → 93

Calls

4 calls:

13.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
10.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
7.0ms	(*.f64 x1 (+.f64 x1 -2))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series143.0ms (5%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
27.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
24.0ms	(/.f64 x0 (-.f64 1 x1))
22.0ms	(*.f64 x1 (+.f64 x1 -2))

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4931	1557
1	4931	1557

prune125.0ms (4.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Merged error: 4.3b

Counts

107 → 2

Compiler

Compiled 2920 to 1812 computations (37.9% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
4.9b	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
6.0b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite50.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_3510`
37×	`*-un-lft-identity_binary64_3488`
20×	`times-frac_binary64_3494`
19×	`add-cube-cbrt_binary64_3523`
12×	`difference-of-squares_binary64_3457`
8×	`add-log-exp_binary64_3527`
7×	`log-pow_binary64_3577` `log-prod_binary64_3574`
6×	`associate-/r*_binary64_3432` `distribute-lft-out--_binary64_3440` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `exp-prod_binary64_3540` `cancel-sign-sub-inv_binary64_3454`
5×	`pow1_binary64_3549`
4×	`exp-sum_binary64_3534`
3×	`associate-/l*_binary64_3433`
2×	`flip3--_binary64_3492` `associate-/r/_binary64_3434` `flip--_binary64_3463` `sub-neg_binary64_3481`
1×	`rem-log-exp_binary64_3529` `distribute-lft-out_binary64_3439` `clear-num_binary64_3487` `flip-+_binary64_3462` `diff-log_binary64_3580` `flip3-+_binary64_3491` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `log-div_binary64_3575` `exp-diff_binary64_3536` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

4 → 93

Calls

4 calls:

13.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
10.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series285.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
68.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
27.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
26.0ms	(/.f64 x0 (-.f64 1 x1))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5624	1841

prune138.0ms (4.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Merged error: 3.3b

Counts

107 → 2

Compiler

Compiled 3107 to 1988 computations (36% saved)

regimes153.0ms (5.3%)

Compiler: Compiled 2252 to 1662 computations (26.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	121
1	58	121

end0.0ms (0%)

sample992.0ms (34.3%)

Algorithm

1×

intervals

Results

229.0ms	8000×	pre	128	true
167.0ms	8000×	body	128	valid

Compiler

Compiled 596 to 438 computations (26.5% saved)

Details

analyze3.0ms (0.1%)

sample17.0ms (0.6%)

simplify134.0ms (4.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite23.0ms (0.8%)

series58.0ms (2%)

simplify60.0ms (2.1%)

prune50.0ms (1.7%)

localize13.0ms (0.5%)

rewrite56.0ms (2%)

series125.0ms (4.3%)

simplify65.0ms (2.3%)

prune162.0ms (5.6%)

localize13.0ms (0.5%)

rewrite45.0ms (1.6%)

series143.0ms (5%)

simplify76.0ms (2.6%)

prune125.0ms (4.3%)

localize17.0ms (0.6%)

rewrite50.0ms (1.7%)

series285.0ms (9.9%)

simplify72.0ms (2.5%)

prune138.0ms (4.8%)

regimes153.0ms (5.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample992.0ms (34.3%)

Profiling