Details

Time bar (total: 6.5s)

sample102.0ms

Algorithm
intervals
Results
46.0ms742×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize20.0ms

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))
4.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite44.0ms

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:
8.0ms
(* 3.0 (/ 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))

series167.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
07501428
142971113
250011108

prune327.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1473150
Fresh000
Picked101
Done000
Total1483151

Merged error: 0.0b

Counts
151 → 3

localize20.0ms

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))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite48.0ms

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:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 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))

series210.0ms

Counts
4 → 10
Calls
4 calls:
81.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
100.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
07651691
141051399
250021394

prune497.0ms

Filtered
170 candidates to 114 candidates (67.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1691170
Fresh022
Picked101
Done000
Total1703173

Merged error: 0b

Counts
173 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.1b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.7b
(/ x (* z y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×add-cbrt-cube
23×associate-*l*
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
9×associate-*r*
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*l/ clear-num *-commutative
1×associate-*r/
Counts
4 → 136
Calls
4 calls:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

series203.0ms

Counts
4 → 10
Calls
4 calls:
79.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
103.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
21.0ms
(/ x (* z y))

simplify79.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05511105
12487989
25001984

prune466.0ms

Filtered
146 candidates to 113 candidates (77.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1460146
Fresh022
Picked011
Done000
Total1463149

Merged error: 0b

Counts
149 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.2b
(* (sqrt t) (/ x (* z y)))
6.7b
(/ x (* z y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×prod-exp cbrt-unprod
11×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
3×associate-*r/ associate-/l*
2×*-commutative div-inv unswap-sqr
1×acos-asin frac-2neg clear-num associate-/r*
Counts
4 → 91
Calls
4 calls:
1.0ms
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
10.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
9.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series410.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))
76.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
307.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0414666
11886560
25002548

prune210.0ms

Filtered
103 candidates to 70 candidates (68.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done011
Total1033106

Merged error: 0b

Counts
106 → 3

regimes254.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02714
12714

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s23519×body80nan
551.0ms8000×body80valid