Details

Time bar (total: 7.5s)

sample79.0ms

Algorithm
intervals
Results
29.0ms683×body80nan
12.0ms256×body80valid

simplify51.0ms

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

localize19.0ms

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))))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite132.0ms

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×sqrt-prod 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 → 130
Calls
4 calls:
22.0ms
(* 3.0 (/ x (* y 27.0)))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
68.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series161.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(* (/ 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))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07401370
142811055
250021053

prune308.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))
3.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite135.0ms

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×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
28.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (sqrt 1.0) (cbrt 3.0))
69.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series233.0ms

Counts
4 → 10
Calls
4 calls:
109.0ms
(* (/ (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))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07942226
141651925
250011917

prune651.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
3.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.2b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
55×prod-exp cbrt-unprod
45×associate-*l* sqrt-prod
41×cbrt-prod
22×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 200
Calls
4 calls:
26.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
7.0ms
(/ (sqrt 1.0) (cbrt 3.0))
98.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
29.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series239.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
99.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
30.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify124.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08282316
146661969
250021969

prune693.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* z 2.0) (* y 27.0))
1.0b
(* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt 3.0))) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.2b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
124×sqrt-prod
115×add-exp-log
114×add-cbrt-cube
96×add-sqr-sqrt
92×times-frac
91×associate-*l*
63×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
60×cbrt-prod
21×cbrt-undiv div-exp
20×pow1
12×unswap-sqr
10×associate-*r* pow-prod-down
4×add-log-exp
3×*-commutative div-inv
2×associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 212
Calls
4 calls:
27.0ms
(* (* z 2.0) (* y 27.0))
42.0ms
(* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt 3.0))) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
98.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
32.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* z 2.0) (* y 27.0))
356.0ms
(* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt 3.0))) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
101.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
30.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify121.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08282992
145142612
250012612

prune752.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03018
13018

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s23637×body80nan
386.0ms8000×body80valid