Details

Time bar (total: 7.7s)

sample120.0ms

Algorithm
intervals
Results
63.0ms721×body80nan
23.0ms256×body80valid

simplify49.0ms

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

localize14.0ms

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))))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite58.0ms

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:
3.0ms
(/ 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))
11.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series158.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
94.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07221318
139171017
250011015

prune310.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite65.0ms

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:
15.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
31.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series202.0ms

Counts
4 → 10
Calls
4 calls:
79.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
96.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 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

prune540.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1.0 (cbrt 3.0))
1.2b
(* (/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0)) (sqrt (cbrt t)))
2.7b
(* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t)))
6.2b
(/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
121×add-cbrt-cube
61×prod-exp cbrt-unprod
31×cbrt-undiv div-exp
30×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×times-frac
16×cbrt-prod
12×associate-*r*
11×pow1
8×sqrt-prod
7×associate-/r*
6×associate-*l*
4×pow-prod-down associate-/l* add-log-exp
3×associate-*l/ div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
1×associate-/l/
Counts
4 → 145
Calls
4 calls:
3.0ms
(/ 1.0 (cbrt 3.0))
93.0ms
(* (/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0)) (sqrt (cbrt t)))
25.0ms
(* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t)))
24.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0))

series306.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ 1.0 (cbrt 3.0))
195.0ms
(* (/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0)) (sqrt (cbrt t)))
46.0ms
(* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t)))
65.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07941841
148681354
250031354

prune541.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0)) (sqrt (cbrt t)))
2.0b
(/ (* (fabs (pow t 1/3)) x) y)
5.1b
(pow t 1/3)
6.2b
(/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
83×add-cbrt-cube
34×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×sqrt-prod
7×pow1
5×times-frac associate-*l*
4×cbrt-prod associate-/r* add-log-exp
3×unpow-prod-down pow-unpow div-inv unswap-sqr
2×frac-2neg clear-num associate-/l*
1×pow-to-exp pow-pow unpow1/3 associate-*r/ pow-prod-down associate-*l/ pow-exp *-commutative associate-/l/ sqr-pow
Counts
4 → 114
Calls
4 calls:
32.0ms
(* (/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0)) (sqrt (cbrt t)))
3.0ms
(/ (* (fabs (pow t 1/3)) x) y)
1.0ms
(pow t 1/3)
9.0ms
(/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0))

series463.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0)) (sqrt (cbrt t)))
29.0ms
(/ (* (fabs (pow t 1/3)) x) y)
178.0ms
(pow t 1/3)
62.0ms
(/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06311295
13829950
25002948

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03519
13519

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.0s23643×body80nan
729.0ms8000×body80valid