Details

Time bar (total: 7.4s)

sample144.0ms

Algorithm
intervals
Results
80.0ms742×body80nan
29.0ms256×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

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))))
2.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite58.0ms

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:
3.0ms
(/ x (* y 27.0))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
33.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series182.0ms

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))))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
107.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify112.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07321374
139331073
250011068

prune375.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

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))
2.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite74.0ms

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:
21.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series261.0ms

Counts
4 → 10
Calls
4 calls:
125.0ms
(* (/ (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))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
106.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify122.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08042288
141811987
250011976

prune793.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0)) (sqrt t))))
2.8b
(/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0))
4.2b
(* (/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0)) (sqrt t))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
210×add-exp-log
116×add-cbrt-cube
114×prod-exp
57×div-exp
56×cbrt-unprod
31×cbrt-undiv
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1
10×rec-exp 1-exp
9×associate-*r*
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
3×associate-*r/ pow-prod-down
2×pow-flip frac-2neg associate-*l/ clear-num associate-/r* *-commutative associate-/l/
1×un-div-inv inv-pow
Counts
4 → 164
Calls
4 calls:
4.0ms
(/ 1 (* y 27.0))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0)) (sqrt t))))
32.0ms
(/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0))
108.0ms
(* (/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0)) (sqrt t))

series185.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 1 (* y 27.0))
25.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0)) (sqrt t))))
30.0ms
(/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0))
111.0ms
(* (/ (* 3.0 (* x (/ 1 (* y 27.0)))) (* z 2.0)) (sqrt t))

simplify48.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
09211767
150001367

prune378.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02918
12918

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.4s23292×body80nan
900.0ms8000×body80valid