Details

Time bar (total: 8.2s)

sample126.0ms

Algorithm
intervals
Results
65.0ms721×body80nan
24.0ms256×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 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))

rewrite56.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
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))))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series178.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ x (* y 27.0))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
34.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07321374
139331073
250021068

prune363.0ms

Pruning

3 alts after pruning (3 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))
4.0b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.6b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite62.0ms

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:
14.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series215.0ms

Counts
4 → 10
Calls
4 calls:
84.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
101.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07651691
141051399
250021394

prune599.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite148.0ms

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×expm1-log1p-u pow-prod-down log1p-expm1-u 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 → 153
Calls
4 calls:
3.0ms
(/ 1.0 (cbrt 3.0))
90.0ms
(* (/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0)) (sqrt (cbrt t)))
21.0ms
(* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t)))
24.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0))

series339.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(/ 1.0 (cbrt 3.0))
215.0ms
(* (/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0)) (sqrt (cbrt t)))
50.0ms
(* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t)))
74.0ms
(/ (* (* 3.0 (/ x (* y 27.0))) (fabs (cbrt t))) (* z 2.0))

simplify127.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08021903
148761416
250011416

prune584.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))

rewrite53.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 122
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)
11.0ms
(/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0))

series492.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0)) (sqrt (cbrt t)))
26.0ms
(/ (* (fabs (pow t 1/3)) x) y)
178.0ms
(pow t 1/3)
70.0ms
(/ (* 0.1111111111111111 (/ (* (fabs (pow t 1/3)) x) y)) (* z 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06391345
138311002
250011000

prune485.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes224.0ms

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

sample3.7s

Algorithm
intervals
Results
2.1s23643×body80nan
759.0ms8000×body80valid