Details

Time bar (total: 6.1s)

sample84.0ms

Algorithm
intervals
Results
36.0ms765×body80nan
14.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune6.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize14.0ms

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))))
3.1b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

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×sqrt-prod 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 → 124
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))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
94.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07221318
139171017
250011015

prune288.0ms

Filtered
136 candidates to 77 candidates (56.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite39.0ms

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×sqrt-prod 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 → 152
Calls
4 calls:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series191.0ms

Counts
4 → 10
Calls
4 calls:
73.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07551633
140891341
250021339

prune499.0ms

Filtered
162 candidates to 106 candidates (65.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.1b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
55×prod-exp cbrt-unprod
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
27×associate-*l*
22×cbrt-undiv cbrt-prod div-exp
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 159
Calls
4 calls:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
10.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series213.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
91.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
31.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify114.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07891724
145901386
250011386

prune497.0ms

Filtered
169 candidates to 106 candidates (62.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* z 2.0) (* y 27.0))
1.0b
(/ (cbrt 1.0) (cbrt (cbrt 3.0)))
3.1b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.1b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
110×add-cbrt-cube
93×cbrt-prod
61×prod-exp cbrt-unprod
56×times-frac
52×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
21×cbrt-undiv div-exp
18×pow1
10×associate-/r*
9×pow-prod-down
7×associate-*r* associate-/l*
6×associate-*l*
4×sqrt-prod add-log-exp
3×div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
1×associate-*l/
Counts
4 → 181
Calls
4 calls:
7.0ms
(* (* z 2.0) (* y 27.0))
6.0ms
(/ (cbrt 1.0) (cbrt (cbrt 3.0)))
14.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
10.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series143.0ms

Counts
4 → 10
Calls
4 calls:
20.0ms
(* (* z 2.0) (* y 27.0))
0.0ms
(/ (cbrt 1.0) (cbrt (cbrt 3.0)))
91.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
32.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
07451786
143011473
250011471

prune717.0ms

Filtered
191 candidates to 120 candidates (62.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes241.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03928
13928

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s23845×body80nan
421.0ms8000×body80valid