Details

analyze731.0ms

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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample56.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
11.0ms	196×	body	80	invalid
8.0ms	143×	body	80	nan

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4911	16
1	4911	16

prune7.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`associate-r_binary64`
12×	`unpow-prod-down_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64` `sqrt-prod_binary64`
9×	`pow1_binary64`
8×	`sqrt-pow1_binary64`
6×	`pow-pow_binary64` `associate-*l/_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `pow-exp_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `sqr-pow_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `sqrt-pow2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64`

Counts

4 → 92

Calls

4 calls:

7.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))
14.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
10.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
3.0ms	(sqrt.f64 (exp.f64 t))
61.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
16.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

simplify81.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4958	1122
1	4958	1122

prune82.0ms

Filtered

71 candidates to 104 candidates (-46.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(sqrt.f64 (sqrt.f64 (exp.f64 t)))
0.0b	(sqrt.f64 (sqrt.f64 (exp.f64 t)))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-pow1_binary64` `sqrt-prod_binary64`
21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`exp-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1/2_binary64` `rem-sqrt-square_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`associate-l_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 t))
3.0ms	(sqrt.f64 (sqrt.f64 (exp.f64 t)))
3.0ms	(sqrt.f64 (sqrt.f64 (exp.f64 t)))
10.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 t))
13.0ms	(sqrt.f64 (sqrt.f64 (exp.f64 t)))
13.0ms	(sqrt.f64 (sqrt.f64 (exp.f64 t)))
16.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4986	612
1	4986	612

prune69.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b	(sqrt.f64 (exp.f64 t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))
0.5b	(.f64 (.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
22×	`associate-r_binary64` `prod-exp_binary64`
20×	`add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`sqrt-prod_binary64`
12×	`pow1_binary64` `associate-*l/_binary64`
10×	`cbrt-unprod_binary64`
6×	`unpow-prod-down_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`pow-to-exp_binary64` `flip3--_binary64` `flip--_binary64` `pow-exp_binary64` `exp-prod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64`

Counts

4 → 96

Calls

4 calls:

15.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
2.0ms	(sqrt.f64 (exp.f64 t))
8.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))
11.0ms	(.f64 (.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))

series100.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
3.0ms	(sqrt.f64 (exp.f64 t))
12.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))
21.0ms	(.f64 (.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 z)) (sqrt.f64 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4969	1323
1	4969	1323

prune74.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	3	3	6
Picked	1	0	1
Done	1	1	2
Total	110	7	117

Merged error: 0b

Counts

117 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.2b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1_binary64`
36×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
22×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
12×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
10×	`sqrt-prod_binary64`
6×	`cbrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`flip3--_binary64` `flip--_binary64` `exp-prod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`pow1/2_binary64` `rem-sqrt-square_binary64`

Counts

4 → 99

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 t))
20.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
15.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
8.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))

series82.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 t))
19.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
48.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
12.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4967	1250
1	4967	1250

prune72.0ms

Filtered

71 candidates to 111 candidates (-56.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	111	7	118

Merged error: 0b

Counts

118 → 7

regimes471.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

493.0ms	8000×	body	80	valid
382.0ms	6243×	body	80	invalid
278.0ms	4551×	body	80	nan

Details

analyze731.0ms

sample56.0ms

simplify117.0ms

prune7.0ms

localize12.0ms

rewrite35.0ms

series86.0ms

simplify81.0ms

prune82.0ms

localize16.0ms

rewrite20.0ms

series44.0ms

simplify42.0ms

prune69.0ms

localize13.0ms

rewrite39.0ms

series100.0ms

simplify58.0ms

prune74.0ms

localize19.0ms

rewrite49.0ms

series82.0ms

simplify57.0ms

prune72.0ms

regimes471.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling