Details

Time bar (total: 6.3s)

sample88.0ms

Algorithm
intervals
Results
32.0ms725×body80nan
12.0ms256×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: 1.0b

localize18.0ms

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))))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite123.0ms

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:
9.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
71.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series145.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
87.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07221318
139171017
250011015

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (cbrt 1.0) (cbrt 3.0))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
82×cbrt-prod
81×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l*
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×sqrt-prod div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
25.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (cbrt 1.0) (cbrt 3.0))
68.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series214.0ms

Counts
4 → 10
Calls
4 calls:
101.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (cbrt 1.0) (cbrt 3.0))
85.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08002223
142361926
250031924

prune784.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize206.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log add-cbrt-cube
66×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
18×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*l*
8×pow1 sqrt-prod
4×times-frac div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 142
Calls
4 calls:
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
73.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series224.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
87.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05331538
132901092
250021088

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes321.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s24108×body80nan
398.0ms8000×body80valid