Details

sample84.0ms

Algorithm

intervals

Results

25.0ms	573×	body	80	valid
24.0ms	548×	body	80	nan

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: 0.3b

localize15.0ms

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)))

rewrite56.0ms

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×	`times-frac`
2×	`flip3--` `*-commutative` `flip--`
1×	`sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

38.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
104.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	365	529
1	1421	453
2	5002	450

prune209.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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:

33.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
3.0ms	(pow (exp t) (/ t 2.0))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series320.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
46.0ms	(pow (exp t) (/ t 2.0))
98.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (18.0ms)

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

prune289.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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))

rewrite115.0ms

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:

75.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt z))
20.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series386.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
17.0ms	(exp (/ (* t t) 2.0))
57.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

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

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
76.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (/ (* t t) 2.0))
57.0ms	(* (- (* x 0.5) y) (sqrt z))
161.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
133.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	462	855
1	2104	718
2	5002	706

prune306.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes604.0ms

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

sample2.5s

Algorithm

intervals

Results

793.0ms	17816×	body	80	valid
784.0ms	17735×	body	80	nan