Details

Time bar (total: 8.9s)

sample98.0ms

Algorithm
intervals
Results
26.0ms589×body80valid
25.0ms640×body80nan

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
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 → 85
Calls
4 calls:
10.0ms
(/ (* t t) 2.0)
5.0ms
(exp (/ (* t t) 2.0))
98.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
40.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
21.0ms
(exp (/ (* t t) 2.0))
149.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
98.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0463658
11807565
25001558

prune311.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×pow-prod-down associate-*l/
4×expm1-log1p-u pow1/2 associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
5.0ms
(sqrt (sqrt (* z 2.0)))
5.0ms
(sqrt (sqrt (* z 2.0)))
43.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
105.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(sqrt (sqrt (* z 2.0)))
165.0ms
(sqrt (sqrt (* z 2.0)))
151.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
95.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0383753
11385657
25001633

prune329.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0))))
0.3b
(* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-prod
33×add-sqr-sqrt
28×pow1
20×add-exp-log add-cbrt-cube
17×associate-*r*
15×pow-prod-down
14×add-cube-cbrt *-un-lft-identity sqrt-pow1
13×associate-*l*
10×prod-exp cbrt-unprod
9×unswap-sqr
6×pow1/2 associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-- flip--
1×rem-sqrt-square sqrt-unprod
Counts
4 → 115
Calls
4 calls:
5.0ms
(sqrt (sqrt (* z 2.0)))
62.0ms
(* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0))))
21.0ms
(* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))
183.0ms
(* (* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* z 2.0))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(sqrt (sqrt (* z 2.0)))
201.0ms
(* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0))))
206.0ms
(* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))
197.0ms
(* (* (- (* x 0.5) y) (* (sqrt (sqrt z)) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05151181
121231073
250021061

prune470.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z)))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))

rewrite452.0ms

Algorithm
rewrite-expression-head
Rules
29×sqrt-prod
25×associate-*r*
24×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×pow-prod-down
10×prod-exp cbrt-unprod
6×sqrt-pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip--
2×pow1/2 unswap-sqr
1×rem-sqrt-square
Counts
4 → 105
Calls
4 calls:
5.0ms
(sqrt (sqrt (* z 2.0)))
42.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
95.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z)))
308.0ms
(* (* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))

series703.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(sqrt (sqrt (* z 2.0)))
160.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
165.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z)))
205.0ms
(* (* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt z))) (sqrt (sqrt 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05321163
123001048
250011043

prune461.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes673.0ms

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)

IterNodesCost
0199
1199

end0.0ms

sample2.7s

Algorithm
intervals
Results
740.0ms18147×body80valid
734.0ms18107×body80nan