Details

Time bar (total: 5.5s)

sample90.0ms

Algorithm
intervals
Results
42.0ms779×body80nan
14.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
4.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series153.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
16.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07221318
139171017
250011015

prune298.0ms

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))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite42.0ms

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:
7.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms
(/ 1.0 (cbrt 3.0))
15.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series189.0ms

Counts
4 → 10
Calls
4 calls:
74.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
89.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07551633
140891341
250021339

prune535.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
0.7b
(/ x (* y 27.0))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
38×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
18×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
8×pow1 times-frac associate-*l*
4×sqrt-prod div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
1×associate-*l/ associate-/l/
Counts
4 → 119
Calls
4 calls:
7.0ms
(* 3.0 (/ x (* y 27.0)))
4.0ms
(/ x (* y 27.0))
14.0ms
(* (/ (* 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)))
18.0ms
(/ x (* y 27.0))
91.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0610993
13644727
25001725

prune347.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.5b
(* (sqrt t) (/ x (* z y)))
7.4b
(/ x (* z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
13×prod-exp cbrt-unprod
10×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r*
6×cbrt-undiv times-frac div-exp
4×pow-prod-down sqrt-prod
3×associate-*r/ associate-/l* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
3 → 75
Calls
3 calls:
9.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
8.0ms
(* (sqrt t) (/ x (* z y)))
5.0ms
(/ x (* z y))

series161.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
67.0ms
(* (sqrt t) (/ x (* z y)))
21.0ms
(/ x (* z y))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0389529
11847436
25001424

prune247.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes246.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13116

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s23830×body80nan
424.0ms8000×body80valid