Details

analyze888.0ms

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
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

sample59.0ms

Algorithm

intervals

Results

22.0ms	365×	body	80	nan
17.0ms	256×	body	80	valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	5157	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 1.0b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
1.0b	(.f64 1/3 (acos.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z))))))
3.4b	(/.f64 (sqrt.f64 t) (*.f64 y z))
5.1b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
13×	`pow1_binary64`
12×	`times-frac_binary64`
9×	`associate-l_binary64` `sqrt-prod_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `-commutative_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64`
1×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 98

Calls

4 calls:

9.0ms	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
4.0ms	(.f64 1/3 (acos.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z))))))
6.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
10.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
11.0ms	(.f64 1/3 (acos.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z))))))
9.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
26.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5012	1167

prune62.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	2	112

Merged error: 0.9b

Counts

112 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
1.0b	(.f64 1/3 (acos.f64 (.f64 x (.f64 1/18 (.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))))))
1.8b	(*.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))
5.1b	(.f64 x (.f64 1/18 (*.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
43×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
35×	`associate-r_binary64`
34×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`sqrt-prod_binary64`
20×	`cbrt-unprod_binary64` `prod-exp_binary64`
19×	`associate-l_binary64`
17×	`pow1_binary64`
14×	`cbrt-prod_binary64`
9×	`unswap-sqr_binary64`
8×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow1/3_binary64`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt.f64 t)
4.0ms	(.f64 1/3 (acos.f64 (.f64 x (.f64 1/18 (.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))))))
20.0ms	(*.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))
14.0ms	(.f64 x (.f64 1/18 (*.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 t)
23.0ms	(.f64 1/3 (acos.f64 (.f64 x (.f64 1/18 (.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))))))
24.0ms	(*.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))
55.0ms	(.f64 x (.f64 1/18 (*.f64 (/.f64 (fabs.f64 (cbrt.f64 t)) y) (/.f64 (sqrt.f64 (cbrt.f64 t)) z))))

simplify51.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5171	2005

prune69.0ms

Filtered

95 candidates to 143 candidates (-50.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	143	2	145

Merged error: 0.9b

Counts

145 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

3.4b	(/.f64 (sqrt.f64 t) (*.f64 y z))
3.4b	(/.f64 (sqrt.f64 t) (*.f64 y z))
5.1b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))
5.1b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64`
14×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`associate-/l*_binary64` `times-frac_binary64` `sqrt-prod_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow-prod-down_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
2×	`associate-/r_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

6.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
6.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
10.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))
12.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
10.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
29.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))
26.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4972	1134
1	4972	1134

prune66.0ms

Filtered

72 candidates to 112 candidates (-55.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Merged error: 0.9b

Counts

114 → 2

regimes171.0ms

Accuracy

0% (0.6b remaining)

Error of 1.5b against oracle of 1.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

665.0ms	10510×	body	80	nan
533.0ms	8000×	body	80	valid

Details

analyze888.0ms

sample59.0ms

simplify187.0ms

prune9.0ms

localize16.0ms

rewrite32.0ms

series62.0ms

simplify43.0ms

prune62.0ms

localize15.0ms

rewrite47.0ms

series116.0ms

simplify51.0ms

prune69.0ms

localize16.0ms

rewrite37.0ms

series75.0ms

simplify74.0ms

prune66.0ms

regimes171.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling