Details

Time bar (total: 5.5s)

sample88.0ms

Algorithm
intervals
Results
39.0ms743×body80nan
14.0ms256×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

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))))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite45.0ms

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))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
16.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series197.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ x (* y 27.0))
21.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
114.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
38.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
07321374
139331073
250021068

prune411.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

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))
2.4b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite61.0ms

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:
13.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
6.0ms
(/ (sqrt 1.0) (cbrt 3.0))
16.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
12.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series279.0ms

Counts
4 → 10
Calls
4 calls:
126.0ms
(* (/ (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))
118.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify125.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08042288
141811987
250011976

prune855.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.4b
(* (sqrt t) (/ x (* z y)))
5.1b
(/ x (* z y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
13×prod-exp cbrt-unprod
10×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×pow-prod-down sqrt-prod
3×expm1-log1p-u associate-*r/ log1p-expm1-u associate-/l* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
3 → 81
Calls
3 calls:
11.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series221.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
95.0ms
(* (sqrt t) (/ x (* z y)))
28.0ms
(/ x (* z y))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0400557
11871464
25002452

prune240.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02918
12918

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s23657×body80nan
427.0ms8000×body80valid