Details

analyze1.3s (11.6%)

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

sample158.0ms (1.4%)

Algorithm

1×

intervals

Results

100.0ms	108×	body	1280	valid
33.0ms	76×	body	640	valid
9.0ms	39×	body	320	valid
4.0ms	256×	pre	80	true
4.0ms	32×	body	160	valid
0.0ms	1×	body	80	valid

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5257	9

prune4.0ms (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: 61.9b

Counts

2 → 1

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
7.9b	(log.f64 (-.f64 1.0 x))
7.9b	(log.f64 (+.f64 1.0 x))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
9×	`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` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 69

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
3.0ms	(log.f64 (+.f64 1.0 x))
3.0ms	(log.f64 (-.f64 1.0 x))

series21.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(/.f64 (log.f64 (-.f64 1.0 x)) (log.f64 (+.f64 1.0 x)))
3.0ms	(log.f64 (+.f64 1.0 x))
3.0ms	(log.f64 (-.f64 1.0 x))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	1012
1	4962	1012

prune113.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	4	79

Merged error: 58.9b

Counts

79 → 4

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
0.0b	(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
7.9b	(log.f64 (-.f64 1.0 x))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
14×	`times-frac_binary64`
10×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-r_binary64` `log-prod_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-exp_binary64`
4×	`associate-/r/_binary64` `associate-/l*_binary64` `log-div_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-l_binary64` `flip--_binary64`
2×	`unswap-sqr_binary64` `div-sub_binary64` `div-inv_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

12.0ms	(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
9.0ms	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
3.0ms	(log.f64 (-.f64 1.0 x))

series19.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 (log.f64 (-.f64 1.0 x)) (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
4.0ms	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
3.0ms	(log.f64 (-.f64 1.0 x))

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5227	1790

prune152.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0.0b

Counts

96 → 2

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

0.0b

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

0.0b

(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
32×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
22×	`times-frac_binary64`
18×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`distribute-lft-out--_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
4×	`associate-*r/_binary64` `log-pow_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `flip3--_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 106

Calls

3 calls:

16.0ms

(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

11.0ms

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

9.0ms

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

series18.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

10.0ms

(/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (*.f64 1.0 x) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))

4.0ms

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

4.0ms

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4980	2782
1	4980	2782

prune272.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
0.0b	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
0.0b	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
0.0b	(.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))) (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))))))

rewrite111.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

213×	`*-un-lft-identity_binary64`
168×	`times-frac_binary64`
165×	`add-sqr-sqrt_binary64`
152×	`cbrt-prod_binary64`
93×	`add-cube-cbrt_binary64`
72×	`distribute-lft-out--_binary64`
47×	`pow1_binary64` `swap-sqr_binary64`
36×	`log-pow_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
28×	`associate-/r/_binary64`
24×	`difference-of-squares_binary64`
18×	`associate-/l*_binary64`
15×	`associate-*r/_binary64`
14×	`frac-sub_binary64`
12×	`add-exp-log_binary64`
10×	`flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
9×	`associate-/r*_binary64` `unswap-sqr_binary64`
7×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`associate-/l/_binary64` `pow1/3_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 273

Calls

4 calls:

46.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))) (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))))))
15.0ms	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
15.0ms	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
15.0ms	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))

series48.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))) (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))))))
9.0ms	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
9.0ms	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
9.0ms	(/.f64 (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 x) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (.f64 1.0 x)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5182	17314

prune3.7s (32.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	285	4	289

Merged error: 0b

Counts

289 → 4

regimes37.0ms (0.3%)

Accuracy

Total 0.4b remaining (85.9%)

Threshold costs 0.4b (85.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	104
1	91	104

end0.0ms (0%)

sample4.9s (42.9%)

Algorithm

1×

intervals

Results

3.1s	3416×	body	1280	valid
1.1s	2478×	body	640	valid
287.0ms	1261×	body	320	valid
139.0ms	8000×	pre	80	true
82.0ms	621×	body	160	valid
13.0ms	224×	body	80	valid

Details

analyze1.3s (11.6%)

sample158.0ms (1.4%)

simplify66.0ms (0.6%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite15.0ms (0.1%)

series21.0ms (0.2%)

simplify59.0ms (0.5%)

prune113.0ms (1%)

localize14.0ms (0.1%)

rewrite28.0ms (0.2%)

series19.0ms (0.2%)

simplify36.0ms (0.3%)

prune152.0ms (1.3%)

localize12.0ms (0.1%)

rewrite40.0ms (0.4%)

series18.0ms (0.2%)

simplify55.0ms (0.5%)

prune272.0ms (2.4%)

localize16.0ms (0.1%)

rewrite111.0ms (1%)

series48.0ms (0.4%)

simplify125.0ms (1.1%)

prune3.7s (32.8%)

regimes37.0ms (0.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.9s (42.9%)

Profiling