Details

Time bar (total: 6.6s)

sample85.0ms

Algorithm
intervals
Results
26.0ms573×body80valid
24.0ms548×body80nan

simplify82.0ms

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

localize16.0ms

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)))

rewrite60.0ms

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:
41.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series295.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms
(exp (/ (* t t) 2.0))
103.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0383567
11404489
25001482

prune211.0ms

Pruning

7 alts after pruning (7 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×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 83
Calls
3 calls:
35.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
3.0ms
(pow (exp t) (/ t 2.0))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
177.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
44.0ms
(pow (exp t) (/ t 2.0))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0513701
12030621
25001617

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
0.0b
(pow (exp t) (/ t 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
29×unpow-prod-down
28×add-sqr-sqrt
27×associate-*r*
26×add-cube-cbrt *-un-lft-identity
14×cube-prod
13×pow-unpow
12×pow1
11×add-exp-log
9×times-frac add-cbrt-cube
7×sqr-pow
6×associate-*l/
4×expm1-log1p-u pow-pow associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×exp-prod
2×cube-mult flip3-- unpow3 *-commutative flip--
1×pow-to-exp pow1/3 pow-exp sqrt-prod rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 128
Calls
4 calls:
4.0ms
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
48.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
3.0ms
(pow (exp t) (/ t 2.0))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
188.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
52.0ms
(pow (exp t) (/ t 2.0))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06191075
125921000
25002992

prune438.0ms

Pruning

7 alts after pruning (6 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)) (pow (exp t) (/ t 2.0)))
0.0b
(pow (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
32×add-exp-log
24×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×associate-*r*
13×pow-unpow
12×pow1 associate-*l/
10×cbrt-unprod
9×times-frac
7×sqrt-prod
6×unpow-prod-down
5×associate-*l*
4×expm1-log1p-u pow-to-exp pow-pow pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×div-inv
Counts
4 → 115
Calls
4 calls:
75.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
3.0ms
(pow (exp t) (/ t 2.0))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series455.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
51.0ms
(pow (exp t) (/ t 2.0))
57.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05771000
12614873
25002867

prune347.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes438.0ms

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
02211
12211

end0.0ms

sample2.7s

Algorithm
intervals
Results
865.0ms17816×body80valid
838.0ms17735×body80nan