Details

Time bar (total: 7.0s)

sample83.0ms

Algorithm
intervals
Results
30.0ms725×body80nan
12.0ms256×body80valid

simplify50.0ms

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))

rewrite119.0ms

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:
8.0ms
(/ x (* y 27.0))
14.0ms
(* (/ 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))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07321374
139331073
250021068

prune359.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

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))
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
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:
25.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms
(/ (sqrt 1.0) (cbrt 3.0))
69.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series233.0ms

Counts
4 → 10
Calls
4 calls:
114.0ms
(* (/ (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))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08042288
141811987
250011976

prune742.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (/ (* 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))

rewrite188.0ms

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:
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
68.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
24.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
92.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05391594
133021148
250011138

prune559.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(expm1 (* (/ 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))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
25×cbrt-undiv div-exp
24×add-sqr-sqrt
18×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×times-frac
9×associate-*r*
8×pow1
5×log1p-expm1-u
4×expm1-log1p-u sqrt-prod add-log-exp unswap-sqr
3×div-inv
2×pow-prod-down associate-*l/ *-commutative
1×expm1-log1p frac-2neg associate-*r/ clear-num associate-/r* associate-/l/ associate-/l* expm1-udef
Counts
4 → 120
Calls
4 calls:
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(expm1 (* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))))
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
25.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series398.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
47.0ms
(expm1 (* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t)))))
304.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07131459
139121150
250011145

prune323.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes325.0ms

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
02918
12918

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s24108×body80nan
379.0ms8000×body80valid