Details

Time bar (total: 5.8s)

sample83.0ms

Algorithm
intervals
Results
36.0ms749×body80nan
13.0ms256×body80valid

simplify54.0ms

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))))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite42.0ms

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:
7.0ms
(/ 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))

series151.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07321374
139331073
250021068

prune331.0ms

Filtered
144 candidates to 85 candidates (59.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1404144
Fresh000
Picked101
Done000
Total1414145

Merged error: 0b

Counts
145 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
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 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:
12.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ (sqrt 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))

series266.0ms

Counts
4 → 10
Calls
4 calls:
125.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
37.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08042288
141811987
250011976

prune675.0ms

Filtered
211 candidates to 134 candidates (63.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2110211
Fresh033
Picked011
Done000
Total2114215

Merged error: 0b

Counts
215 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.7b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
4.0b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log add-cbrt-cube
63×prod-exp cbrt-unprod
24×add-sqr-sqrt
21×cbrt-undiv div-exp
20×pow1
19×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*r* pow-prod-down
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 140
Calls
4 calls:
7.0ms
(* (* z 2.0) (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
11.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
15.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))

series188.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* z 2.0) (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
32.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))
115.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))

simplify132.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
07481511
144191144
250011139

prune279.0ms

Filtered
152 candidates to 78 candidates (51.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh022
Picked011
Done011
Total1524156

Merged error: 0b

Counts
156 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* y 27.0))
1.0b
(/ (* 1.0 (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3.0)
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1 associate-*r*
5×associate-*l* associate-/r* associate-/l*
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×frac-2neg clear-num
2×unswap-sqr
1×associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 121
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
4.0ms
(/ (* 1.0 (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3.0)
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series165.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ x (* y 27.0))
16.0ms
(/ (* 1.0 (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))) 3.0)
103.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06911227
13903926
25001921

prune264.0ms

Filtered
133 candidates to 76 candidates (57.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh101
Picked011
Done112
Total1343137

Merged error: 0b

Counts
137 → 3

regimes282.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23660×body80nan
415.0ms8000×body80valid