Details

analyze698.0ms

Algorithm: search

sample52.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
12.0ms	218×	body	80	invalid
7.0ms	123×	body	80	nan

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

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: 0.5b

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)
0.2b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 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-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)
14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
3.0ms	(/ (* t t) 2.0)
41.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms	(* (- (* 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

prune178.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 0.1b

Counts

90 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp (* t t)) (/ 1 2.0))
0.2b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log`
15×	`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×	`associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 76

Calls

3 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)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series91.0ms

Counts

3 → 9

Calls

3 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)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	465	716
1	2052	645
2	5001	632

prune156.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.1b

Counts

93 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.2b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite38.0ms

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)
7.0ms	(* (- (* x 0.5) y) (sqrt z))
15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series76.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
13.0ms	(* (- (* x 0.5) y) (sqrt z))
44.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

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

prune174.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	102	9	111

Merged error: 0.1b

Counts

111 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

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)))
9.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series71.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
45.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
16.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	509	800
1	2306	703
2	5002	701

prune142.0ms

Filtered

71 candidates to 106 candidates (-49.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	5	6
Picked	0	1	1
Done	1	1	2
Total	107	8	115

Merged error: 0.1b

Counts

115 → 8

regimes1.0s

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

analyze692.0ms

Algorithm: search

sample1.5s

Algorithm

intervals

Results

439.0ms	8000×	body	80	valid
352.0ms	6376×	body	80	invalid
251.0ms	4503×	body	80	nan

Details

analyze698.0ms

sample52.0ms

simplify76.0ms

prune4.0ms

localize12.0ms

rewrite30.0ms

series62.0ms

simplify48.0ms

prune178.0ms

localize14.0ms

rewrite25.0ms

series91.0ms

simplify58.0ms

prune156.0ms

localize13.0ms

rewrite38.0ms

series76.0ms

simplify62.0ms

prune174.0ms

localize13.0ms

rewrite36.0ms

series71.0ms

simplify63.0ms

prune142.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze692.0ms

sample1.5s

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