Details

sample115.0ms

Algorithm

intervals

Results

32.0ms	568×	body	80	nan
30.0ms	565×	body	80	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	413	610
1	1743	532
2	5002	532

prune209.0ms

Filtered

89 candidates to 67 candidates (24.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	78	11	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Merged error: 0.0b

Counts

90 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`pow-to-exp` `exp-prod` `pow-exp` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

4.0ms	(pow (exp t) (/ t 2.0))
11.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series67.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (exp t) (/ t 2.0))
48.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	479	666
1	1986	606
2	5002	602

prune195.0ms

Filtered

86 candidates to 64 candidates (25.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (* t t)) (/ 1 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
0.0b	(exp (* t t))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r` `add-cbrt-cube`
10×	`prod-exp`
9×	`times-frac`
7×	`pow1` `add-log-exp`
6×	`unpow-prod-down` `associate-*l/`
4×	`associate-l` `cbrt-unprod`
3×	`pow-to-exp` `pow-pow` `pow-exp`
2×	`exp-prod` `flip3--` `exp-to-pow` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

4.0ms	(pow (exp (* t t)) (/ 1 2.0))
11.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
2.0ms	(exp (* t t))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (exp (* t t)) (/ 1 2.0))
56.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
2.0ms	(exp (* t t))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	481	753
1	2119	678
2	5003	665

prune249.0ms

Filtered

98 candidates to 70 candidates (28.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-l`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
8.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
13.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
17.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
43.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	442	651
1	1796	567
2	5001	567

prune145.0ms

Filtered

87 candidates to 65 candidates (25.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

regimes1.4s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample3.5s

Algorithm

intervals

Results

979.0ms	18008×	body	80	valid
964.0ms	17946×	body	80	nan

Details

sample115.0ms

simplify76.0ms

prune4.0ms

localize12.0ms

rewrite28.0ms

series64.0ms

simplify48.0ms

prune209.0ms

localize13.0ms

rewrite25.0ms

series67.0ms

simplify70.0ms

prune195.0ms

localize14.0ms

rewrite27.0ms

series95.0ms

simplify65.0ms

prune249.0ms

localize12.0ms

rewrite30.0ms

series66.0ms

simplify48.0ms

prune145.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling