Details

sample96.0ms

Algorithm

intervals

Results

28.0ms	614×	body	80	nan
27.0ms	617×	body	80	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	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

localize13.0ms

Local error

Found 3 expressions with local error:

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

10×	`pow1` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`associate-*l/`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`expm1-log1p-u` `times-frac` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

17.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series328.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
119.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	383	567
1	1404	489
2	5001	482

prune267.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
30.0b	(cbrt (/ (* t t) 2.0))
30.0b	(cbrt (/ (* t t) 2.0))
30.0b	(cbrt (/ (* t t) 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod`
40×	`add-sqr-sqrt`
27×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

9.0ms	(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
3.0ms	(cbrt (/ (* t t) 2.0))
3.0ms	(cbrt (/ (* t t) 2.0))
4.0ms	(cbrt (/ (* t t) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
255.0ms	(cbrt (/ (* t t) 2.0))
256.0ms	(cbrt (/ (* t t) 2.0))
253.0ms	(cbrt (/ (* t t) 2.0))

simplify128.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	153	903
1	568	846
2	3085	798
3	5001	793

prune556.0ms

Filtered

128 candidates to 95 candidates (74.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

localize14.0ms

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))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite41.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

16.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series485.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
28.0ms	(exp (/ (* t t) 2.0))
64.0ms	(* (- (* x 0.5) y) (sqrt z))
162.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	441	852
1	1914	732
2	5001	718

prune355.0ms

Filtered

105 candidates to 72 candidates (68.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize14.0ms

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))
0.3b	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
0.5b	(* (sqrt z) (sqrt 2.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
20×	`add-sqr-sqrt` `add-cbrt-cube`
17×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
10×	`associate-r` `associate-l` `prod-exp` `sqrt-prod` `cbrt-unprod`
7×	`exp-prod`
6×	`associate-*l/`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`times-frac` `*-commutative`
2×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`
1×	`sqrt-unprod` `div-inv` `rem-exp-log`

Counts

4 → 96

Calls

4 calls:

17.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
8.0ms	(* (sqrt z) (sqrt 2.0))

series481.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
150.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
82.0ms	(* (sqrt z) (sqrt 2.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	477	845
1	2003	731
2	5002	718

prune328.0ms

Filtered

108 candidates to 73 candidates (67.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	108	11	119

Merged error: 0.0b

Counts

119 → 11

regimes791.0ms

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	22	18
1	22	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

808.0ms	18092×	body	80	valid
761.0ms	18190×	body	80	nan