Details

sample88.0ms

Algorithm

intervals

Results

26.0ms	646×	body	80	nan
24.0ms	599×	body	80	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

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

series358.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(exp (/ (* t t) 2.0))
166.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
56.0ms	(sqrt (* z 2.0))
110.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	459	597
1	1736	509
2	5001	502

prune266.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

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

series345.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
19.0ms	(exp (/ (* t t) 2.0))
57.0ms	(sqrt (* z 2.0))
164.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	456	641
1	1626	545
2	5001	533

prune261.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (pow z 1/2) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (* (* (pow z 1/2) (sqrt 2.0)) (exp (/ (* t t) 2.0))))
0.5b	(* (pow z 1/2) (sqrt 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
22×	`add-sqr-sqrt` `prod-exp`
20×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `associate-l`
10×	`associate-r` `cbrt-unprod`
7×	`exp-prod`
6×	`sqrt-prod` `unswap-sqr`
5×	`unpow-prod-down` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `times-frac` `pow-exp` `*-commutative` `sqr-pow`
2×	`associate-*l/`
1×	`flip3--` `pow1/2` `sqrt-unprod` `flip--` `div-inv` `rem-exp-log` `unpow1/2`

Counts

4 → 91

Calls

4 calls:

13.0ms	(* (* (pow z 1/2) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (* (* (pow z 1/2) (sqrt 2.0)) (exp (/ (* t t) 2.0))))
6.0ms	(* (pow z 1/2) (sqrt 2.0))

series411.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (* (pow z 1/2) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
24.0ms	(exp (/ (* t t) 2.0))
199.0ms	(* (- (* x 0.5) y) (* (* (pow z 1/2) (sqrt 2.0)) (exp (/ (* t t) 2.0))))
68.0ms	(* (pow z 1/2) (sqrt 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	489	900
1	1980	757
2	5001	743

prune304.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
2.0ms	(sqrt (* z 2.0))
11.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series443.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow (exp t) (/ t 2.0))
129.0ms	(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
59.0ms	(sqrt (* z 2.0))
200.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	579	796
1	2214	701
2	5002	701

prune332.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes718.0ms

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	23	20
1	23	20

end0.0ms

sample2.4s

Algorithm

intervals

Results

751.0ms	17690×	body	80	valid
728.0ms	17527×	body	80	nan