Details

Time bar (total: 7.8s)

sample97.0ms

Algorithm
intervals
Results
44.0ms802×body80nan
14.0ms256×body80valid

simplify59.0ms

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: 1.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite141.0ms

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:
21.0ms
(* 3.0 (/ x (* y 27.0)))
15.0ms
(* (/ 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))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series159.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
07501428
142971113
250011108

prune506.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite139.0ms

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:
27.0ms
(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (cbrt 1.0) (cbrt 3.0))
72.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
23.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series466.0ms

Counts
4 → 10
Calls
4 calls:
343.0ms
(* (/ (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))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify131.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
08102285
142521988
250021983

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.5b
(* (sqrt t) (/ x (* z y)))
7.2b
(/ x (* z y))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
62×add-cbrt-cube
45×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
22×add-sqr-sqrt
18×associate-*r*
15×add-cube-cbrt *-un-lft-identity
14×times-frac associate-*l*
13×pow1
5×pow-prod-down
4×expm1-log1p-u associate-*r/ sqrt-prod log1p-expm1-u div-inv add-log-exp unswap-sqr
3×cbrt-prod *-commutative associate-/l*
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 142
Calls
4 calls:
62.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
45.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
27.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series349.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 1.0)) (cbrt 3.0)))
79.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
67.0ms
(* (sqrt t) (/ x (* z y)))
25.0ms
(/ x (* z y))

simplify131.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
08362132
142691591
250011428

prune626.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) 1.0) 3.0)
2.5b
(* (sqrt t) (/ x (* z y)))
7.2b
(/ x (* z y))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac associate-*l*
8×cbrt-undiv div-exp associate-*r*
4×expm1-log1p-u pow-prod-down associate-/r* 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 → 104
Calls
4 calls:
46.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
10.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) 1.0) 3.0)
28.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series174.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
22.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) 1.0) 3.0)
64.0ms
(* (sqrt t) (/ x (* z y)))
20.0ms
(/ x (* z y))

simplify84.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0513831
12396687
25002681

prune378.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02618
12618

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s23940×body80nan
449.0ms8000×body80valid