Details

Time bar (total: 6.3s)

sample82.0ms

Algorithm
intervals
Results
33.0ms714×body80nan
16.0ms256×body80valid

simplify61.0ms

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: 1.5b

localize15.0ms

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))))
4.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite63.0ms

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:
12.0ms
(* 3.0 (/ x (* y 27.0)))
7.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
29.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series173.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (/ x (* y 27.0)))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify123.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
07501428
142971113
250011108

prune409.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
4.5b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 160
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
32.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series224.0ms

Counts
4 → 10
Calls
4 calls:
88.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
105.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify117.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
07651691
141051399
250021394

prune661.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
4.7b
(* (sqrt t) (/ x (* z y)))
5.1b
(/ x (* z y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
59×add-cbrt-cube
57×prod-exp
31×cbrt-unprod
25×div-exp
17×add-sqr-sqrt
16×pow1 associate-*l*
15×cbrt-undiv
13×add-cube-cbrt *-un-lft-identity
9×times-frac associate-*r*
7×pow-prod-down
6×rec-exp 1-exp associate-*r/
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×*-commutative div-inv associate-/l*
2×unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num associate-/r*
Counts
4 → 134
Calls
4 calls:
38.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
19.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
11.0ms
(* (sqrt t) (/ x (* z y)))
4.0ms
(/ x (* z y))

series301.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
85.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
81.0ms
(* (sqrt t) (/ x (* z y)))
24.0ms
(/ x (* z y))

simplify109.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
07261568
134571191
250011106

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.0b
(/ (* 1.0 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))) 3.0)
4.7b
(* (sqrt t) (/ x (* z y)))
5.1b
(/ x (* z y))

rewrite43.0ms

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:
23.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
3.0ms
(/ (* 1.0 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))) 3.0)
10.0ms
(* (sqrt t) (/ x (* z y)))
3.0ms
(/ x (* z y))

series210.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
19.0ms
(/ (* 1.0 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))) 3.0)
81.0ms
(* (sqrt t) (/ x (* z y)))
23.0ms
(/ x (* z y))

simplify78.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0513837
12392693
25002687

prune319.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02714
12714

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s23679×body80nan
426.0ms8000×body80valid