Details

sample75.0ms

Algorithm

intervals

Results

23.0ms	502×	body	80	valid
20.0ms	504×	body	80	nan

simplify75.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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)))

rewrite29.0ms

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)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* t t) 2.0)
154.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
23.0ms	(exp (/ (* t t) 2.0))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	443	614
1	1819	523
2	5001	520

prune237.0ms

Filtered

89 candidates to 67 candidates (75.3%)

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 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)))

rewrite26.0ms

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)))

series329.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(pow (exp t) (/ t 2.0))
181.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
104.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	495	663
1	2045	592
2	5002	592

prune238.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 0.0b

Counts

95 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
58×	`prod-exp`
51×	`add-sqr-sqrt`
44×	`unpow-prod-down`
26×	`sqrt-prod`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
18×	`pow-to-exp` `pow-exp`
17×	`unswap-sqr`
15×	`associate-r`
14×	`associate-l`
12×	`pow1` `swap-sqr` `sqr-pow`
10×	`cbrt-unprod`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `flip--`
1×	`pow2` `rem-sqrt-square` `pow1/2` `pow-sqr` `pow-prod-up`

Counts

4 → 145

Calls

4 calls:

2.0ms	(sqrt (exp t))
17.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
14.0ms	(* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp t))
270.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
71.0ms	(* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	545	1706
1	2256	1487
2	5002	1468

prune351.0ms

Filtered

157 candidates to 83 candidates (52.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	157	8	165

Merged error: 0.0b

Counts

165 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series403.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
23.0ms	(exp (/ (* t t) 2.0))
55.0ms	(* (- (* x 0.5) y) (sqrt z))
138.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	423	800
1	1954	683
2	5002	675

prune216.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0b

Counts

105 → 7

regimes514.0ms

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	21	15
1	21	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

754.0ms	18082×	body	80	valid
737.0ms	18223×	body	80	nan