Details

sample120.0ms

Algorithm

intervals

Results

34.0ms	614×	body	80	valid
29.0ms	586×	body	80	nan

simplify73.0ms

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

prune5.0ms

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

rewrite31.0ms

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:

2.0ms	(exp (/ (* t t) 2.0))
4.0ms	(/ (* t t) 2.0)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
3.0ms	(/ (* t t) 2.0)
40.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (10.0ms)

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

prune433.0ms

Filtered

89 candidates to 67 candidates (24.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

2.0ms	(exp (/ (* t t) 2.0))
5.0ms	(/ (* t t) 2.0)
9.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (12.0ms)

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

prune490.0ms

Filtered

87 candidates to 65 candidates (25.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series74.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt z))
17.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	479	808
1	2307	701
2	5001	697

prune478.0ms

Filtered

103 candidates to 70 candidates (32.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	5	4	9
Picked	0	1	1
Done	0	1	1
Total	104	10	114

Merged error: 0.0b

Counts

114 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
55×	`add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod` `associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 115

Calls

4 calls:

25.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
20.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
39.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
14.0ms	(* (- (* x 0.5) y) (sqrt z))
16.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	577	1851
1	2801	1371
2	5002	1280

prune565.0ms

Filtered

127 candidates to 71 candidates (44.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	3	4	7
Picked	1	0	1
Done	1	1	2
Total	130	7	137

Merged error: 0b

Counts

137 → 7

regimes965.0ms

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	19	9
1	19	9

end0.0ms

sample3.3s

Algorithm

intervals

Results

921.0ms	18063×	body	80	nan
918.0ms	17983×	body	80	valid

Details

sample120.0ms

simplify73.0ms

prune5.0ms

localize12.0ms

rewrite31.0ms

series59.0ms

simplify49.0ms

prune433.0ms

localize12.0ms

rewrite31.0ms

series65.0ms

simplify51.0ms

prune490.0ms

localize13.0ms

rewrite37.0ms

series74.0ms

simplify69.0ms

prune478.0ms

localize17.0ms

rewrite70.0ms

series113.0ms

simplify88.0ms

prune565.0ms

regimes965.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

Profiling