Details

Time bar (total: 6.5s)

sample104.0ms

Algorithm
intervals
Results
51.0ms770×body80nan
17.0ms256×body80valid

simplify51.0ms

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: 1.2b

Counts
2 → 1

localize15.0ms

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))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

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:
5.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series170.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
98.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07321374
139331073
250021068

prune342.0ms

Filtered
144 candidates to 85 candidates (59.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1422144
Fresh000
Picked101
Done000
Total1432145

Merged error: 0.0b

Counts
145 → 2

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))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite49.0ms

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:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ 1.0 (cbrt 3.0))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series239.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
116.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07651691
141051399
250021394

prune535.0ms

Filtered
170 candidates to 114 candidates (67.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1691170
Fresh011
Picked011
Done000
Total1693172

Merged error: 0b

Counts
172 → 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))
3.3b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.1b
(/ x (* z y))

rewrite34.0ms

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:
9.0ms
(* (/ 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))

series238.0ms

Counts
4 → 10
Calls
4 calls:
93.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
121.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
24.0ms
(/ x (* z y))

simplify89.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05511105
12487989
25001984

prune485.0ms

Filtered
146 candidates to 113 candidates (77.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh011
Picked011
Done011
Total1463149

Merged error: 0b

Counts
149 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(* (sqrt t) (/ x (* z y)))
5.1b
(/ x (* z y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
13×prod-exp cbrt-unprod
10×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×pow-prod-down sqrt-prod
3×expm1-log1p-u associate-*r/ log1p-expm1-u associate-/l* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
3 → 81
Calls
3 calls:
10.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
9.0ms
(* (sqrt t) (/ x (* z y)))
6.0ms
(/ x (* z y))

series206.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
89.0ms
(* (sqrt t) (/ x (* z y)))
26.0ms
(/ x (* z y))

simplify67.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0400557
11871464
25002452

prune199.0ms

Filtered
90 candidates to 60 candidates (66.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes290.0ms

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
03116
13116

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s24015×body80nan
568.0ms8000×body80valid