Details

Time bar (total: 5.4s)

sample83.0ms

Algorithm
intervals
Results
35.0ms789×body80nan
15.0ms256×body80valid

simplify47.0ms

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: 2.5b

localize17.0ms

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))))
3.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite60.0ms

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×sqrt-prod 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 → 130
Calls
4 calls:
9.0ms
(* 3.0 (/ x (* y 27.0)))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series153.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07401370
142811055
250021053

prune322.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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))
3.5b
(/ x (* z y))

rewrite47.0ms

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×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 → 106
Calls
4 calls:
9.0ms
(* 0.05555555555555555 (/ x (* z y)))
10.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
22.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))

series156.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.05555555555555555 (/ x (* z y)))
16.0ms
(* (/ 1.0 3.0) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
92.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))

simplify66.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0514831
12502694
25001686

prune283.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.5b
(/ x (* z y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
82×cbrt-prod
79×times-frac
76×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
41×associate-*l*
30×add-exp-log
26×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×pow-prod-down add-log-exp
3×sqrt-prod div-inv
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 169
Calls
4 calls:
17.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
25.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))

series230.0ms

Counts
4 → 10
Calls
4 calls:
115.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
95.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))

simplify79.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05861613
125971492
250011490

prune708.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 3.0) (acos (log (exp (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))))
3.0b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.5b
(/ x (* z y))
4.6b
(log (exp (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
14×associate-*l*
13×times-frac
12×pow1
11×prod-exp cbrt-unprod
9×associate-*r*
5×cbrt-undiv div-exp add-log-exp
4×pow-prod-down
3×log-prod sqrt-prod log-pow associate-/l*
2×associate-*l/ *-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg associate-*r/ rem-log-exp clear-num associate-/r*
Counts
4 → 93
Calls
4 calls:
7.0ms
(* (/ 1.0 3.0) (acos (log (exp (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))))
24.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
3.0ms
(/ x (* z y))
1.0ms
(log (exp (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (/ 1.0 3.0) (acos (log (exp (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))))
94.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
20.0ms
(/ x (* z y))
93.0ms
(log (exp (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0498916
12247741
25001721

prune259.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02618
12618

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s24104×body80nan
399.0ms8000×body80valid