Details

Time bar (total: 6.0s)

sample89.0ms

Algorithm
intervals
Results
35.0ms758×body80nan
12.0ms256×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 138
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series139.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 3.0 (/ x (* y 27.0)))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
81.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07501428
142971113
250011108

prune335.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 160
Calls
4 calls:
18.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series180.0ms

Counts
4 → 10
Calls
4 calls:
67.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
85.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07651691
141051399
250021394

prune543.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (/ 1.0 (cbrt 3.0)))
1.0b
(cbrt (/ 1.0 (cbrt 3.0)))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.8b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
62×cbrt-prod
38×times-frac
37×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
24×cbrt-undiv div-exp
6×pow1 associate-*r*
5×associate-*l*
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×cbrt-div pow1/3 unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 141
Calls
4 calls:
3.0ms
(cbrt (/ 1.0 (cbrt 3.0)))
3.0ms
(cbrt (/ 1.0 (cbrt 3.0)))
69.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series111.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt (/ 1.0 (cbrt 3.0)))
0.0ms
(cbrt (/ 1.0 (cbrt 3.0)))
84.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06441337
135141100
250011091

prune570.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.2b
(* (sqrt t) (/ x (* z y)))
4.7b
(/ x (* z y))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1 add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×associate-*r*
6×cbrt-undiv times-frac div-exp
5×pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ *-commutative associate-/l* unswap-sqr
2×div-inv
1×frac-2neg clear-num associate-/r*
Counts
4 → 101
Calls
4 calls:
6.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
47.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
23.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series162.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 0.3333333333333333 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
66.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
63.0ms
(* (sqrt t) (/ x (* z y)))
18.0ms
(/ x (* z y))

simplify58.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0458777
12087654
25002642

prune232.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes238.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03525
13525

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s23818×body80nan
383.0ms8000×body80valid