Details

Time bar (total: 5.7s)

sample80.0ms

Algorithm
intervals
Results
32.0ms714×body80nan
13.0ms256×body80valid

simplify47.0ms

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

localize19.0ms

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))

rewrite41.0ms

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:
7.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 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))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series159.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify98.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07401370
142811055
250011053

prune363.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite41.0ms

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×sqrt-prod 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 → 152
Calls
4 calls:
8.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series209.0ms

Counts
4 → 10
Calls
4 calls:
81.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
97.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify100.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07551633
140891341
250031339

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite42.0ms

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×sqrt-prod 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 → 126
Calls
4 calls:
14.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series269.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* 1.0 (/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))))
76.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
72.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify91.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07131510
134301133
250011054

prune354.0ms

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

rewrite34.0ms

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×pow-prod-down associate-/r* sqrt-prod associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
4.0ms
(/ (* 1.0 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))) 3.0)
12.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series185.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
15.0ms
(/ (* 1.0 (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y)))))) 3.0)
73.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0500791
12366647
25001645

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes281.0ms

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 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23679×body80nan
407.0ms8000×body80valid