Details

Time bar (total: 7.7s)

sample77.0ms

Algorithm
intervals
Results
22.0ms553×body80valid
22.0ms498×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
40.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series286.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* t t) 2.0)
157.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416543
11735457
25001454

prune231.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
32×distribute-lft-neg-in distribute-rgt-neg-in
18×neg-mul-1
12×add-cbrt-cube
10×pow1 add-exp-log associate-*l/ associate-/r*
7×associate-*r*
6×associate-/l*
5×distribute-frac-neg
4×neg-sub0 exp-neg frac-times flip3-- div-sub associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
3×exp-diff add-log-exp
2×associate-*r/ *-commutative
1×cbrt-undiv frac-2neg div-exp clear-num sqrt-prod un-div-inv div-inv unswap-sqr
Counts
3 → 138
Calls
3 calls:
5.0ms
(/ (- (* t t)) (- 2.0))
87.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (- (* t t)) (- 2.0))))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (- (* t t)) (- 2.0))
182.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (- (* t t)) (- 2.0))))
99.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06341236
126921136
250011136

prune490.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* t t)) (- 2.0))
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (- (* t t)) (- 2.0))))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
46×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
32×distribute-lft-neg-in distribute-rgt-neg-in
22×add-cbrt-cube
20×pow1 associate-*l/
19×add-exp-log
18×neg-mul-1
15×associate-*r*
10×pow-prod-down prod-exp associate-/r* cbrt-unprod
7×sqrt-prod
6×associate-/l*
5×flip3-- distribute-frac-neg associate-*l* flip--
4×neg-sub0 exp-neg frac-times div-sub add-log-exp
3×exp-diff *-commutative
2×associate-*r/ unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num un-div-inv div-inv
Counts
4 → 167
Calls
4 calls:
5.0ms
(/ (- (* t t)) (- 2.0))
128.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (- (* t t)) (- 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series400.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- (* t t)) (- 2.0))
189.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (- (* t t)) (- 2.0))))
54.0ms
(* (- (* x 0.5) y) (sqrt z))
128.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06921523
132771377
250011373

prune540.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite595.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
32×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod flip3-- associate-*l* flip--
4×exp-neg frac-times distribute-frac-neg *-commutative add-log-exp
3×neg-sub0 exp-diff div-sub
2×associate-*r/ unswap-sqr
1×un-div-inv
Counts
4 → 122
Calls
4 calls:
440.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (- (* t t)) (- 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
31.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
106.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series827.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (- (* t t)) (- 2.0))))
62.0ms
(* (- (* x 0.5) y) (sqrt z))
416.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
152.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06202080
129731515
250011420

prune337.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes414.0ms

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
02611
12611

end0.0ms

sample2.4s

Algorithm
intervals
Results
764.0ms18167×body80valid
752.0ms18136×body80nan