Details

Time bar (total: 8.3s)

sample128.0ms

Algorithm
intervals
Results
67.0ms765×body80nan
23.0ms256×body80valid

simplify58.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 138
Calls
4 calls:
9.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series184.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
107.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
36.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07501428
142971113
250011108

prune392.0ms

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))
4.2b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite74.0ms

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:
18.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (cbrt 1.0) (cbrt 3.0))
34.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series278.0ms

Counts
4 → 10
Calls
4 calls:
136.0ms
(* (/ (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))
111.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08102285
142521988
250021983

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(/ x (* z y))
4.1b
(* (sqrt t) (/ x (* z y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
34×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 110
Calls
4 calls:
5.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
20.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0ms
(/ x (* z y))
12.0ms
(* (sqrt t) (/ x (* z y)))

series323.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0))
88.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
23.0ms
(/ x (* z y))
86.0ms
(* (sqrt t) (/ x (* z y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0514960
12312833
25001827

prune474.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.4b
(/ x (* z y))
3.7b
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
4.1b
(* (sqrt t) (/ x (* z y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
13×prod-exp cbrt-unprod
12×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
5×add-log-exp
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u
3×log-prod associate-*r/ log-pow associate-/l*
2×*-commutative div-inv unswap-sqr
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num associate-/r*
Counts
4 → 97
Calls
4 calls:
20.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0ms
(/ x (* z y))
1.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
11.0ms
(* (sqrt t) (/ x (* z y)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
23.0ms
(/ x (* z y))
85.0ms
(log (exp (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))))
84.0ms
(* (sqrt t) (/ x (* z y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0420723
11937607
25002589

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02820
12820

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.1s24057×body80nan
744.0ms8000×body80valid