Details

analyze323.0ms (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample55.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms	17×	body	1280	valid
11.0ms	167×	body	80	valid
10.0ms	29×	body	640	valid
6.0ms	27×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	10×	body	80	nan
0.0ms	1×	body	80	invalid

simplify242.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (239.0ms)

Iter	Nodes	Cost
0	5378	13

prune8.0ms (0.2%)

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: 9.2b

Counts

2 → 1

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1.0 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1.0 y)))
0.3b	(*.f64 x (log.f64 y))
4.9b	(log.f64 (-.f64 1.0 y))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `log-prod_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64` `add-exp-log_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`associate-l_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `rem-log-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 85

Calls

4 calls:

8.0ms	(*.f64 x (log.f64 y))
8.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1.0 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1.0 y)))
4.0ms	(log.f64 (-.f64 1.0 y))

series44.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1.0 y)))) t)
10.0ms	(*.f64 z (log.f64 (-.f64 1.0 y)))
8.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1.0 y))

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4926	965
1	4926	965

prune157.0ms (4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.1b

Counts

98 → 5

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (+.f64 (.f64 1.0 z) (/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))))
0.0b	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))))))
0.2b	(/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))
0.3b	(*.f64 x (log.f64 y))

rewrite60.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`times-frac_binary64`
88×	`add-sqr-sqrt_binary64`
84×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
44×	`associate-/r*_binary64`
29×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`log-prod_binary64`
12×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
7×	`associate-r_binary64` `associate-+r+_binary64`
6×	`associate-+l+_binary64` `associate-l_binary64` `associate--l+_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/r/_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `associate-+r-_binary64` `diff-log_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `+-commutative_binary64`

Counts

4 → 185

Calls

4 calls:

19.0ms	(.f64 y (+.f64 (.f64 1.0 z) (/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))))
16.0ms	(/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))
10.0ms	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))))))
5.0ms	(*.f64 x (log.f64 y))

series59.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))))))
11.0ms	(.f64 y (+.f64 (.f64 1.0 z) (/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))))
9.0ms	(*.f64 x (log.f64 y))
5.0ms	(/.f64 (*.f64 z 1/2) (/.f64 1.0 (/.f64 y 1.0)))

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5254	2743

prune395.0ms (10%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	196	6	202

Merged error: 0.1b

Counts

202 → 6

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5))))) t)
0.0b	(.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5)))
0.0b	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5)))))
0.3b	(*.f64 x (log.f64 y))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`add-log-exp_binary64` `log-prod_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
10×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `associate-+r+_binary64` `associate--l+_binary64`
6×	`associate-+l+_binary64` `associate-l_binary64`
5×	`diff-log_binary64`
4×	`sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `associate-+r-_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `associate--l-_binary64` `log-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64`

Counts

4 → 90

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5))))) t)
9.0ms	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5)))))
8.0ms	(.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5)))
5.0ms	(*.f64 x (log.f64 y))

series96.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5))))) t)
32.0ms	(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 1.0)) (.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5)))))
11.0ms	(.f64 y (+.f64 (.f64 1.0 z) (.f64 (.f64 y z) 0.5)))
9.0ms	(*.f64 x (log.f64 y))

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4967	1508
1	4967	1508

prune165.0ms (4.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	102	6	108

Merged error: 0.1b

Counts

108 → 6

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (+.f64 1.0 (.f64 y 0.5)))
0.2b	(.f64 (sqrt.f64 y) (.f64 z (+.f64 1.0 (*.f64 y 0.5))))
0.3b	(*.f64 x (log.f64 y))
0.3b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z (+.f64 1.0 (.f64 y 0.5)))))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
18×	`associate-l_binary64` `add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-*r/_binary64`
11×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`associate-r_binary64`
6×	`log-prod_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`unswap-sqr_binary64`
1×	`log-pow_binary64`

Counts

4 → 108

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z (+.f64 1.0 (.f64 y 0.5)))))
9.0ms	(.f64 (sqrt.f64 y) (.f64 z (+.f64 1.0 (*.f64 y 0.5))))
6.0ms	(.f64 z (+.f64 1.0 (.f64 y 0.5)))
5.0ms	(*.f64 x (log.f64 y))

series59.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 y) (.f64 z (+.f64 1.0 (*.f64 y 0.5))))
16.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z (+.f64 1.0 (.f64 y 0.5)))))
9.0ms	(.f64 z (+.f64 1.0 (.f64 y 0.5)))
8.0ms	(*.f64 x (log.f64 y))

simplify35.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5625	1258

prune164.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0.1b

Counts

126 → 6

regimes279.0ms (7%)

Accuracy

Total 0.3b remaining (76.3%)

Threshold costs 0.3b (76.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	112	23
1	112	23

end0.0ms (0%)

sample1.5s (37.3%)

Algorithm

1×

intervals

Results

355.0ms	5435×	body	80	valid
333.0ms	925×	body	640	valid
293.0ms	432×	body	1280	valid
167.0ms	753×	body	320	valid
62.0ms	455×	body	160	valid
18.0ms	239×	body	80	nan
2.0ms	25×	body	80	invalid

Details

analyze323.0ms (8.1%)

sample55.0ms (1.4%)

simplify242.0ms (6.1%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite29.0ms (0.7%)

series44.0ms (1.1%)

simplify70.0ms (1.8%)

prune157.0ms (4%)

localize18.0ms (0.5%)

rewrite60.0ms (1.5%)

series59.0ms (1.5%)

simplify54.0ms (1.4%)

prune395.0ms (10%)

localize16.0ms (0.4%)

rewrite36.0ms (0.9%)

series96.0ms (2.4%)

simplify49.0ms (1.2%)

prune165.0ms (4.2%)

localize17.0ms (0.4%)

rewrite37.0ms (0.9%)

series59.0ms (1.5%)

simplify35.0ms (0.9%)

prune164.0ms (4.1%)

regimes279.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (37.3%)

Profiling