Details

Time bar (total: 6.5s)

sample77.0ms

Algorithm
intervals
Results
32.0ms699×body80nan
13.0ms256×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

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))))
3.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite57.0ms

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:
3.0ms
(/ x (* y 27.0))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07321374
139331073
250021068

prune390.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))
3.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite65.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 160
Calls
4 calls:
15.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series233.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
110.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07651691
141051399
250021394

prune620.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
0.7b
(/ x (* y 27.0))
3.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite60.0ms

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:
9.0ms
(* 3.0 (/ x (* y 27.0)))
3.0ms
(/ x (* y 27.0))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series182.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
21.0ms
(/ x (* y 27.0))
108.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06201035
13660769
25003764

prune424.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.9b
(* (/ (* 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))

rewrite91.0ms

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×expm1-log1p-u times-frac log1p-expm1-u 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 → 150
Calls
4 calls:
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series280.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
106.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify104.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
05391594
133021148
250011138

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03116
13116

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s24121×body80nan
416.0ms8000×body80valid