Details

Time bar (total: 6.8s)

sample86.0ms

Algorithm
intervals
Results
35.0ms765×body80nan
17.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 132
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series177.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
103.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07321374
139331073
250021068

prune352.0ms

Filtered
144 candidates to 85 candidates (59.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
12.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
6.0ms
(/ (sqrt 1.0) (cbrt 3.0))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series251.0ms

Counts
4 → 10
Calls
4 calls:
118.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08042288
141811987
250011976

prune727.0ms

Filtered
211 candidates to 134 candidates (63.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
3.1b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.1b
(/ x (* z y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
76×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
44×sqrt-prod
41×cbrt-prod associate-*l*
30×add-exp-log
28×add-cbrt-cube
11×pow1 prod-exp cbrt-unprod
9×associate-*r* associate-/l*
7×associate-/r*
6×cbrt-undiv div-exp
5×unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 177
Calls
4 calls:
11.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
5.0ms
(/ (sqrt 1.0) (cbrt 3.0))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

series255.0ms

Counts
4 → 10
Calls
4 calls:
125.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
106.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
24.0ms
(/ x (* z y))

simplify86.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05901657
125471532
250011521

prune666.0ms

Filtered
187 candidates to 131 candidates (70.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(/ (sqrt (sqrt 1.0)) (cbrt (cbrt 3.0)))
3.1b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.1b
(/ x (* z y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
90×cbrt-prod
87×times-frac
73×add-sqr-sqrt
71×add-cube-cbrt *-un-lft-identity
34×add-exp-log
33×add-cbrt-cube
13×associate-*r* prod-exp cbrt-unprod
12×associate-/l*
11×pow1
10×associate-/r*
7×cbrt-undiv div-exp
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num *-commutative
1×associate-*l/ unswap-sqr
Counts
4 → 193
Calls
4 calls:
7.0ms
(* 0.05555555555555555 (/ x (* z y)))
8.0ms
(/ (sqrt (sqrt 1.0)) (cbrt (cbrt 3.0)))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

series161.0ms

Counts
4 → 10
Calls
4 calls:
30.0ms
(* 0.05555555555555555 (/ x (* z y)))
0.0ms
(/ (sqrt (sqrt 1.0)) (cbrt (cbrt 3.0)))
104.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
27.0ms
(/ x (* z y))

simplify82.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05651810
123391699
250021667

prune830.0ms

Filtered
203 candidates to 126 candidates (62.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s23845×body80nan
417.0ms8000×body80valid