Details

Time bar (total: 6.5s)

sample93.0ms

Algorithm
intervals
Results
42.0ms849×body80nan
14.0ms256×body80valid

simplify63.0ms

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: 1.2b

localize16.0ms

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))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite65.0ms

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:
9.0ms
(* 3.0 (/ x (* y 27.0)))
11.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
109.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
07501428
142971113
250011108

prune399.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))
5.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite73.0ms

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:
18.0ms
(* (/ (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))
33.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series264.0ms

Counts
4 → 10
Calls
4 calls:
123.0ms
(* (/ (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))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08042288
141811987
250011976

prune793.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

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))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.3b
(/ x (* z y))

rewrite55.0ms

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:
18.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
22.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))

series260.0ms

Counts
4 → 10
Calls
4 calls:
123.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
108.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
29.0ms
(/ x (* z y))

simplify82.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05901657
125471532
250011521

prune715.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (/ x (* z y)))
1.0b
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.3b
(/ x (* z y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×associate-*l*
16×times-frac associate-*r*
15×prod-exp cbrt-unprod
13×pow1
7×cbrt-undiv div-exp
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-prod *-commutative div-inv associate-/l* unswap-sqr
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 114
Calls
4 calls:
9.0ms
(* 0.05555555555555555 (/ x (* z y)))
8.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
27.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))

series180.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 0.05555555555555555 (/ x (* z y)))
18.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
104.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
23.0ms
(/ x (* z y))

simplify77.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0524875
12518738
25001728

prune312.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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
02516
12516

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s24017×body80nan
420.0ms8000×body80valid