Details

Time bar (total: 6.4s)

sample90.0ms

Algorithm
intervals
Results
41.0ms779×body80nan
13.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

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))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07321374
139331073
250021068

prune390.0ms

Filtered
144 candidates to 85 candidates (59.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite55.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 201
Calls
4 calls:
11.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ (cbrt 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))

series262.0ms

Counts
4 → 10
Calls
4 calls:
120.0ms
(* (/ (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))
110.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08102285
142521988
250021983

prune941.0ms

Filtered
211 candidates to 154 candidates (73.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
0.7b
(/ x (* y 27.0))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
38×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
18×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
8×pow1 times-frac associate-*l*
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
1×associate-*l/ associate-/l/
Counts
4 → 127
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
5.0ms
(/ x (* y 27.0))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
20.0ms
(/ x (* y 27.0))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06201035
13660769
25003764

prune486.0ms

Filtered
139 candidates to 78 candidates (56.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* z 2.0) (* y 27.0))
1.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
7.6b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
109×add-exp-log add-cbrt-cube
61×prod-exp cbrt-unprod
20×cbrt-undiv div-exp
17×pow1
10×add-sqr-sqrt
9×pow-prod-down
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×sqrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×times-frac *-commutative div-inv unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/r* associate-/l*
Counts
3 → 106
Calls
3 calls:
7.0ms
(* (* z 2.0) (* y 27.0))
20.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
10.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* (* z 2.0) (* y 27.0))
110.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
31.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify107.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
05911026
13843722
25003717

prune301.0ms

Filtered
115 candidates to 50 candidates (43.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes269.0ms

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 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23830×body80nan
411.0ms8000×body80valid