Details

Time bar (total: 4.7s)

sample83.0ms

Algorithm
intervals
Results
34.0ms765×body80nan
13.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune6.0ms

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: 1.0b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.8b
(* (/ (* 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:
4.0ms
(/ 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))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ x (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 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

prune263.0ms

Filtered
136 candidates to 77 candidates (56.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh000
Picked101
Done000
Total1352137

Merged error: 0b

Counts
137 → 2

localize18.0ms

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))
1.8b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

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:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series198.0ms

Counts
4 → 10
Calls
4 calls:
78.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07551633
140891341
250021339

prune428.0ms

Filtered
162 candidates to 106 candidates (65.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done000
Total1622164

Merged error: 0b

Counts
164 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))))
1.8b
(* (* 3.0 (/ x (* y 27.0))) (sqrt t))
4.2b
(/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log add-cbrt-cube
32×prod-exp cbrt-unprod
21×add-sqr-sqrt
19×cbrt-undiv div-exp
16×add-cube-cbrt *-un-lft-identity
14×times-frac associate-*l*
11×pow1
9×associate-*r*
4×pow-prod-down associate-/l* add-log-exp
3×associate-*l/ sqrt-prod div-inv
2×frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
1×associate-/l/
Counts
4 → 113
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))))
10.0ms
(* (* 3.0 (/ x (* y 27.0))) (sqrt t))
13.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))

series197.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ x (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))))
72.0ms
(* (* 3.0 (/ x (* y 27.0))) (sqrt t))
90.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (sqrt t)) (* z 2.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07651210
14269945
25001943

prune241.0ms

Filtered
125 candidates to 74 candidates (59.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done011
Total1252127

Merged error: 0b

Counts
127 → 2

regimes229.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13116

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s24318×body80nan
414.0ms8000×body80valid