Details

analyze397.0ms (6.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	58×	body	80	invalid

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5021	11

prune6.0ms (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: 17.3b

Counts

2 → 1

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1.0))
16.8b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1.0)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`*-un-lft-identity_binary64`
4×	`associate-r_binary64` `associate-*r/_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1.0)))
8.0ms	(.f64 (.f64 z z) (+.f64 z 1.0))

series30.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1.0)))
11.0ms	(.f64 (.f64 z z) (+.f64 z 1.0))

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5052	618

prune92.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 1.3b

Counts

58 → 7

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.1b	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1.0)))
8.1b	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1.0))))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

231×	`times-frac_binary64`
114×	`*-un-lft-identity_binary64`
78×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
41×	`associate-/r*_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`distribute-lft-out_binary64` `associate-/r/_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
12×	`div-inv_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 172

Calls

2 calls:

16.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1.0))))
10.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1.0)))

series26.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1.0))))
9.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1.0)))

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4979	2775
1	4979	2775

prune256.0ms (4.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	170	8	178
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	174	11	185

Merged error: 0b

Counts

185 → 11

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1.0)))))
1.7b	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1.0))))

rewrite233.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

1912×	`times-frac_binary64`
1040×	`*-un-lft-identity_binary64`
858×	`add-sqr-sqrt_binary64`
806×	`add-cube-cbrt_binary64`
369×	`cbrt-prod_binary64`
359×	`associate-r_binary64`
117×	`distribute-lft-out_binary64`
93×	`associate-/r/_binary64`
67×	`add-exp-log_binary64`
59×	`associate-/r*_binary64`
55×	`div-inv_binary64`
47×	`add-cbrt-cube_binary64`
39×	`flip3-+_binary64` `flip-+_binary64`
32×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`cbrt-unprod_binary64` `prod-exp_binary64`
14×	`unswap-sqr_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 874

Calls

4 calls:

112.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1.0)))))
22.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1.0))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series107.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1.0))))
30.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (/.f64 (cbrt.f64 x) (/.f64 z (/.f64 y (+.f64 z 1.0)))))
20.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)

simplify154.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

886 → 886

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5438	17890

prune1.7s (27.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	885	1	886
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	888	9	897

Merged error: 0b

Counts

897 → 9

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 z (/.f64 y (+.f64 z 1.0)))
2.9b	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y (+.f64 z 1.0))))

rewrite152.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

2669×	`times-frac_binary64`
1351×	`*-un-lft-identity_binary64`
1075×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
138×	`distribute-lft-out_binary64`
122×	`div-inv_binary64`
108×	`associate-/r/_binary64`
77×	`associate-/r*_binary64`
46×	`flip3-+_binary64` `flip-+_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 953

Calls

2 calls:

32.0ms	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y (+.f64 z 1.0))))
9.0ms	(/.f64 z (/.f64 y (+.f64 z 1.0)))

series24.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y (+.f64 z 1.0))))
7.0ms	(/.f64 z (/.f64 y (+.f64 z 1.0)))

simplify186.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

959 → 959

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5111	23803

prune1.5s (25.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	957	2	959
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	960	8	968

Merged error: 0b

Counts

968 → 8

regimes375.0ms (6.2%)

Accuracy

Total 3.1b remaining (95%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

end0.0ms (0%)

sample531.0ms (8.8%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	80	valid
51.0ms	1494×	body	80	invalid

Details

analyze397.0ms (6.6%)

sample21.0ms (0.4%)

simplify60.0ms (1%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

rewrite21.0ms (0.4%)

series30.0ms (0.5%)

simplify27.0ms (0.4%)

prune92.0ms (1.5%)

localize7.0ms (0.1%)

rewrite36.0ms (0.6%)

series26.0ms (0.4%)

simplify68.0ms (1.1%)

prune256.0ms (4.3%)

localize13.0ms (0.2%)

rewrite233.0ms (3.9%)

series107.0ms (1.8%)

simplify154.0ms (2.6%)

prune1.7s (27.6%)

localize10.0ms (0.2%)

rewrite152.0ms (2.5%)

series24.0ms (0.4%)

simplify186.0ms (3.1%)

prune1.5s (25.1%)

regimes375.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample531.0ms (8.8%)

Profiling