Details

analyze343.0ms (1.1%)

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
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample48.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	188×	body	80	valid
9.0ms	26×	body	640	valid
6.0ms	5×	body	1280	valid
5.0ms	23×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	5×	body	80	nan
0.0ms	1×	body	80	invalid

simplify128.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5210	17

prune8.0ms (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: 6.4b

Counts

2 → 1

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
0.1b	(*.f64 (-.f64 x 1.0) (log.f64 y))
4.1b	(log.f64 (-.f64 1.0 y))

rewrite38.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
21×	`log-prod_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`associate-l_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×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `rem-log-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 93

Calls

4 calls:

12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
10.0ms	(*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))
8.0ms	(*.f64 (-.f64 x 1.0) (log.f64 y))
4.0ms	(log.f64 (-.f64 1.0 y))

series60.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))) t)
11.0ms	(*.f64 (-.f64 x 1.0) (log.f64 y))
7.0ms	(*.f64 (-.f64 z 1.0) (log.f64 (-.f64 1.0 y)))
4.0ms	(log.f64 (-.f64 1.0 y))

simplify45.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5083	1281

prune183.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))) t)
0.0b	(.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (*.f64 1.0 1.0))))))
0.0b	(+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))
0.1b	(*.f64 (-.f64 x 1.0) (log.f64 y))

rewrite56.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
25×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64` `associate-*l/_binary64`
16×	`frac-add_binary64` `add-cube-cbrt_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
13×	`associate--l+_binary64`
12×	`frac-times_binary64`
11×	`add-log-exp_binary64`
10×	`pow1_binary64` `associate-r_binary64` `associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
6×	`associate-*r/_binary64` `associate-+l+_binary64`
5×	`sub-neg_binary64` `distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 124

Calls

4 calls:

17.0ms	(.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (*.f64 1.0 1.0))))))
14.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))) t)
12.0ms	(+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))
7.0ms	(*.f64 (-.f64 x 1.0) (log.f64 y))

series124.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))) t)
39.0ms	(+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))
13.0ms	(.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (*.f64 1.0 1.0))))))
11.0ms	(*.f64 (-.f64 x 1.0) (log.f64 y))

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5004	4528

prune353.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	136	7	143

Merged error: 0.0b

Counts

143 → 7

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))) (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (*.f64 1.0 1.0)))))))))
0.5b	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
0.5b	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
0.5b	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))

rewrite160.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

838×	`associate-*l/_binary64`
820×	`flip3--_binary64` `flip--_binary64`
738×	`cbrt-div_binary64`
656×	`frac-add_binary64`
652×	`frac-times_binary64`
182×	`associate-*r/_binary64`
41×	`flip3-+_binary64` `flip-+_binary64`
25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 487

Calls

4 calls:

32.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))) (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (*.f64 1.0 1.0)))))))))
10.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
10.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
10.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))

series2.2s (7.2%)

Counts

4 → 12

Calls

4 calls:

663.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))) (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (*.f64 1.0 1.0)))))))))
525.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
519.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
516.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))

simplify400.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5452	82547

prune19.4s (62.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	497	2	499
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	497	9	506

Merged error: 0.0b

Counts

506 → 9

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))

rewrite61.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`cbrt-div_binary64`
80×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
64×	`frac-add_binary64`
32×	`frac-times_binary64`
30×	`cbrt-prod_binary64`
16×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 125

Calls

4 calls:

12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
10.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))

series2.1s (6.8%)

Counts

4 → 12

Calls

4 calls:

524.0ms	(cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0))))))))
523.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
521.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))
519.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 x 1.0) (log.f64 y)) (.f64 (-.f64 z 1.0) (-.f64 (log.f64 1.0) (+.f64 (.f64 1.0 y) (.f64 1/2 (/.f64 (.f64 y y) (.f64 1.0 1.0)))))))))

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4955	11064
1	4955	11064

prune3.0s (9.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	137	9	146

Merged error: 0.0b

Counts

146 → 9

regimes510.0ms (1.7%)

Accuracy

Total 0.3b remaining (80.9%)

Threshold costs 0.3b (80.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	106	29
1	106	29

end0.0ms (0%)

sample1.4s (4.5%)

Algorithm

1×

intervals

Results

423.0ms	5818×	body	80	valid
296.0ms	802×	body	640	valid
189.0ms	271×	body	1280	valid
163.0ms	694×	body	320	valid
63.0ms	415×	body	160	valid
19.0ms	262×	body	80	nan
2.0ms	25×	body	80	invalid

Details

analyze343.0ms (1.1%)

sample48.0ms (0.2%)

simplify128.0ms (0.4%)

prune8.0ms (0%)

localize14.0ms (0%)

rewrite38.0ms (0.1%)

series60.0ms (0.2%)

simplify45.0ms (0.1%)

prune183.0ms (0.6%)

localize20.0ms (0.1%)

rewrite56.0ms (0.2%)

series124.0ms (0.4%)

simplify66.0ms (0.2%)

prune353.0ms (1.1%)

localize30.0ms (0.1%)

rewrite160.0ms (0.5%)

series2.2s (7.2%)

simplify400.0ms (1.3%)

prune19.4s (62.8%)

localize36.0ms (0.1%)

rewrite61.0ms (0.2%)

series2.1s (6.8%)

simplify87.0ms (0.3%)

prune3.0s (9.8%)

regimes510.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (4.5%)

Profiling