Details

analyze1.3s (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample139.0ms (1.8%)

Algorithm

1×

intervals

Results

85.0ms	127×	body	1024	valid
19.0ms	60×	body	512	valid
16.0ms	18×	body	2048	valid
5.0ms	30×	body	256	valid
5.0ms	256×	pre	128	true
1.0ms	21×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

prune2.0ms (0%)

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: 60.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.4b	(log.f64 (+.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
10×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `rem-log-exp_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series179.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
26.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5579	1554

prune107.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 0.1b

Counts

80 → 5

Compiler

Compiled 1408 to 1088 computations (22.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))
0.0b	(.f64 (.f64 x x) 1/2)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`diff-log_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) 1/2)
6.0ms	(-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))

series60.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(.f64 (.f64 x x) 1/2)
23.0ms	(-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4883	516
1	4883	516

prune36.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 0.1b

Counts

45 → 6

Compiler

Compiled 616 to 410 computations (33.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))) (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))))
0.0b	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
0.0b	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
0.0b	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))) (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))))
6.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
5.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
5.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))

series328.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))) (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))))
83.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
72.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
71.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4939	3251
1	4939	3251

prune237.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	111	8	119

Merged error: 0.1b

Counts

119 → 8

Compiler

Compiled 4734 to 3131 computations (33.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 (.f64 x x) 2/9) (+.f64 1 (.f64 x 2/3)))) (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))))
0.0b	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
0.2b	(.f64 (.f64 x x) 2/9)
0.3b	(*.f64 x 2/3)

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
11×	`prod-exp_binary64`
10×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
8×	`cbrt-div_binary64` `associate-*r/_binary64`
7×	`cbrt-unprod_binary64`
5×	`pow-prod-down_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-exp_binary64`

Counts

4 → 84

Calls

4 calls:

23.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 (.f64 x x) 2/9) (+.f64 1 (.f64 x 2/3)))) (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))))
6.0ms	(.f64 (.f64 x x) 2/9)
5.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
4.0ms	(*.f64 x 2/3)

series271.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 (.f64 x x) 2/9) (+.f64 1 (.f64 x 2/3)))) (cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (*.f64 x x) 1/2)))))
72.0ms	(cbrt.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2))))
37.0ms	(.f64 (.f64 x x) 2/9)
22.0ms	(*.f64 x 2/3)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	2384
1	4914	2384

prune180.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Merged error: 0.1b

Counts

104 → 6

Compiler

Compiled 3288 to 2400 computations (27% saved)

regimes17.0ms (0.2%)

Compiler: Compiled 104 to 87 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	47
1	35	47

end0.0ms (0%)

sample4.4s (57.1%)

Algorithm

1×

intervals

Results

2.8s	4027×	body	1024	valid
613.0ms	1932×	body	512	valid
324.0ms	349×	body	2048	valid
165.0ms	1047×	body	256	valid
144.0ms	8000×	pre	128	true
44.0ms	645×	body	128	valid

Compiler

Compiled 165 to 137 computations (17% saved)

Details

analyze1.3s (16.5%)

sample139.0ms (1.8%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite20.0ms (0.3%)

series179.0ms (2.3%)

simplify66.0ms (0.8%)

prune107.0ms (1.4%)

localize6.0ms (0.1%)

rewrite15.0ms (0.2%)

series60.0ms (0.8%)

simplify66.0ms (0.8%)

prune36.0ms (0.5%)

localize10.0ms (0.1%)

rewrite46.0ms (0.6%)

series328.0ms (4.2%)

simplify96.0ms (1.2%)

prune237.0ms (3.1%)

localize17.0ms (0.2%)

rewrite48.0ms (0.6%)

series271.0ms (3.5%)

simplify83.0ms (1.1%)

prune180.0ms (2.3%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (57.1%)

Profiling