Details

Time bar (total: 6.4s)

sample76.0ms

Algorithm
intervals
Results
31.0ms737×body80nan
13.0ms256×body80valid

simplify44.0ms

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: 1.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
0.9b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 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))))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07501428
142971113
250011108

prune363.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (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))
1.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite74.0ms

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:
18.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ (sqrt 1.0) (cbrt 3.0))
33.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series237.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (/ (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))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
28.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08042288
141811987
250011976

prune709.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.3b
(* (sqrt t) (/ x (* z y)))
3.8b
(/ x (* z y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
56×add-cbrt-cube
28×prod-exp cbrt-unprod
27×add-sqr-sqrt
20×times-frac
19×associate-*l*
18×cbrt-undiv div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
13×pow1
8×sqrt-prod
5×pow-prod-down unswap-sqr
4×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
3×cbrt-prod *-commutative associate-/l*
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 136
Calls
4 calls:
29.0ms
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
22.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
12.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series359.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0)))
73.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
71.0ms
(* (sqrt t) (/ x (* z y)))
20.0ms
(/ x (* z y))

simplify95.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07651758
137651407
250011289

prune465.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (sqrt 1) (cbrt 3.0)) (* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0))))
1.0b
(/ (sqrt 1) (cbrt 3.0))
1.3b
(* (sqrt t) (/ x (* z y)))
3.8b
(/ x (* z y))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
78×times-frac
69×add-cbrt-cube
67×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
46×associate-*l*
43×sqrt-prod
41×prod-exp cbrt-unprod
39×cbrt-prod
20×cbrt-undiv div-exp
15×pow1
9×associate-/l*
8×associate-*r*
7×pow-prod-down associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-*l/
2×frac-2neg associate-*r/ clear-num *-commutative unswap-sqr
1×frac-times
Counts
4 → 203
Calls
4 calls:
76.0ms
(* (/ (sqrt 1) (cbrt 3.0)) (* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0))))
4.0ms
(/ (sqrt 1) (cbrt 3.0))
11.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series289.0ms

Counts
4 → 10
Calls
4 calls:
199.0ms
(* (/ (sqrt 1) (cbrt 3.0)) (* (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0))))
0.0ms
(/ (sqrt 1) (cbrt 3.0))
69.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify111.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08862810
144042218
250021898

prune584.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03118
13118

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s23998×body80nan
379.0ms8000×body80valid