Details

analyze944.0ms

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

sample60.0ms

Algorithm

intervals

Results

23.0ms	354×	body	80	nan
17.0ms	256×	body	80	valid

simplify176.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (173.0ms)

Iter	Nodes	Cost
0	5157	13

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 1.0b

Counts

2 → 1

localize10.0ms

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))))))
3.5b	(/.f64 (sqrt.f64 t) (*.f64 y z))
4.7b	(.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))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
9.0ms	(.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 (32.0ms)

Iter	Nodes	Cost
0	5012	1167

prune61.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Merged error: 1.0b

Counts

111 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(.f64 1/3 (acos.f64 (log.f64 (exp.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z))))))))
3.5b	(/.f64 (sqrt.f64 t) (*.f64 y z))
4.0b	(log.f64 (exp.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))))
4.7b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64` `sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`log-prod_binary64` `log-pow_binary64`
2×	`associate-r/_binary64` `-commutative_binary64`
1×	`associate-/r*_binary64` `rem-log-exp_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

4 → 82

Calls

4 calls:

4.0ms	(.f64 1/3 (acos.f64 (log.f64 (exp.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z))))))))
6.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
2.0ms	(log.f64 (exp.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))))
11.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(.f64 1/3 (acos.f64 (log.f64 (exp.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z))))))))
9.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
25.0ms	(log.f64 (exp.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))))
29.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5016	1125

prune54.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Merged error: 1.0b

Counts

97 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

3.5b	(/.f64 (sqrt.f64 t) (*.f64 y z))
3.5b	(/.f64 (sqrt.f64 t) (*.f64 y z))
4.7b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))
4.7b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

rewrite36.0ms

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

series73.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
9.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
25.0ms	(.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))))

simplify75.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4972	1134
1	4972	1134

prune74.0ms

Filtered

72 candidates to 112 candidates (-55.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 1.0b

Counts

115 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
1.0b	(pow.f64 (acos.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))) 3)
3.5b	(/.f64 (sqrt.f64 t) (*.f64 y z))
4.7b	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`pow1_binary64` `times-frac_binary64`
11×	`associate-r_binary64`
9×	`sqrt-prod_binary64`
6×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-*r/_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
2×	`div-inv_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `associate-/r*_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 103

Calls

4 calls:

9.0ms	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
3.0ms	(pow.f64 (acos.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))) 3)
6.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
13.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 1/18 (/.f64 (sqrt.f64 t) (.f64 y z)))
17.0ms	(pow.f64 (acos.f64 (.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))) 3)
9.0ms	(/.f64 (sqrt.f64 t) (*.f64 y z))
25.0ms	(.f64 x (.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5763	1245

prune54.0ms

Filtered

68 candidates to 115 candidates (-69.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 1.0b

Counts

118 → 3

regimes196.0ms

Accuracy

0% (0.0b remaining)

Error of 1.2b against oracle of 1.2b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

678.0ms	10187×	body	80	nan
562.0ms	8000×	body	80	valid

Details

analyze944.0ms

sample60.0ms

simplify176.0ms

prune11.0ms

localize10.0ms

rewrite32.0ms

series59.0ms

simplify43.0ms

prune61.0ms

localize12.0ms

rewrite25.0ms

series73.0ms

simplify43.0ms

prune54.0ms

localize15.0ms

rewrite36.0ms

series73.0ms

simplify75.0ms

prune74.0ms

localize13.0ms

rewrite34.0ms

series64.0ms

simplify37.0ms

prune54.0ms

regimes196.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling