Details

analyze641.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	54×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune7.0ms

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: 1.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
5.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5329	557

prune248.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0b

Counts

56 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
2.9b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
22×	`associate-r_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
22.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 t)
14.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
20.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5061	945

prune60.0ms

Filtered

83 candidates to 106 candidates (-27.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
0.0b	(*.f64 (-.f64 y x) z)
6.5b	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`prod-exp_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64`
8×	`associate-*l/_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 75

Calls

3 calls:

4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
7.0ms	(*.f64 (-.f64 y x) z)
11.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

series33.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
7.0ms	(*.f64 (-.f64 y x) z)
13.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5999	729

prune38.0ms

Filtered

50 candidates to 84 candidates (-68.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.2b	(pow.f64 (*.f64 (-.f64 y x) z) 3)
6.5b	(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 y x) z) 3)) (/.f64 1 t))
29.8b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
18×	`add-exp-log_binary64`
17×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64` `associate-l_binary64`
15×	`times-frac_binary64`
12×	`add-cbrt-cube_binary64` `associate-*l/_binary64`
11×	`pow1_binary64`
10×	`unswap-sqr_binary64`
8×	`cube-div_binary64`
6×	`cbrt-div_binary64` `sqr-pow_binary64` `prod-exp_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow-pow_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `frac-times_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

4 → 119

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) z)
7.0ms	(pow.f64 (*.f64 (-.f64 y x) z) 3)
14.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 y x) z) 3)) (/.f64 1 t))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

series59.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) z)
18.0ms	(pow.f64 (*.f64 (-.f64 y x) z) 3)
21.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 y x) z) 3)) (/.f64 1 t))
12.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5050	1223

prune61.0ms

Filtered

93 candidates to 131 candidates (-40.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	131	7	138

Merged error: 0b

Counts

138 → 7

regimes322.0ms

Accuracy

21.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch33.0ms

Steps

Iters	Range		Point
10	2.5304894328603155e+41	9.377530695876227e+54	9.835726741021531e+41
8	-1.1767563042763511e+89	-3.8268577721624864e+86	-3.947928725274646e+86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	44
1	42	44

end0.0ms

sample585.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
67.0ms	2040×	body	80	invalid

Details

analyze641.0ms

sample22.0ms

simplify44.0ms

prune7.0ms

localize6.0ms

rewrite16.0ms

series26.0ms

simplify51.0ms

prune248.0ms

localize10.0ms

rewrite30.0ms

series64.0ms

simplify46.0ms

prune60.0ms

localize8.0ms

rewrite25.0ms

series33.0ms

simplify55.0ms

prune38.0ms

localize11.0ms

rewrite35.0ms

series59.0ms

simplify52.0ms

prune61.0ms

regimes322.0ms

bsearch33.0ms

simplify2.0ms

end0.0ms

sample585.0ms

Profiling