Details

Time bar (total: 7.5s)

sample126.0ms

Algorithm
intervals
Results
65.0ms795×body80nan
26.0ms256×body80valid

simplify50.0ms

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: 1.6b

localize17.0ms

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))))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite60.0ms

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:
9.0ms
(* 3.0 (/ 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))

series157.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
17.0ms
(* (/ 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))
30.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
07501428
142971113
250011108

prune340.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))
3.6b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.9b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite63.0ms

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

series196.0ms

Counts
4 → 10
Calls
4 calls:
76.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07651691
141051399
250021394

prune554.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
3.6b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
4.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
55×prod-exp cbrt-unprod
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
27×associate-*l*
22×cbrt-undiv cbrt-prod div-exp
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
Counts
4 → 167
Calls
4 calls:
13.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
42.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
12.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series206.0ms

Counts
4 → 10
Calls
4 calls:
80.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
96.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
29.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify125.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
07991782
146061444
250011441

prune570.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ 3.0 (* z 2.0)) (* (/ x (* y 27.0)) (sqrt t)))))
1.0b
(/ 1.0 (cbrt 3.0))
2.9b
(* (/ x (* y 27.0)) (sqrt t))
5.0b
(* (/ 3.0 (* z 2.0)) (* (/ x (* y 27.0)) (sqrt t)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
72×add-cbrt-cube
51×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
36×associate-*l*
34×prod-exp cbrt-unprod
22×cbrt-prod
18×cbrt-undiv div-exp
13×pow1
10×associate-*r*
6×associate-/r*
5×pow-prod-down associate-*l/ unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv add-log-exp
3×*-commutative associate-/l*
1×frac-times frac-2neg associate-*r/ clear-num
Counts
4 → 165
Calls
4 calls:
14.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ 3.0 (* z 2.0)) (* (/ x (* y 27.0)) (sqrt t)))))
3.0ms
(/ 1.0 (cbrt 3.0))
12.0ms
(* (/ x (* y 27.0)) (sqrt t))
31.0ms
(* (/ 3.0 (* z 2.0)) (* (/ x (* y 27.0)) (sqrt t)))

series238.0ms

Counts
4 → 10
Calls
4 calls:
74.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ 3.0 (* z 2.0)) (* (/ x (* y 27.0)) (sqrt t)))))
0.0ms
(/ 1.0 (cbrt 3.0))
73.0ms
(* (/ x (* y 27.0)) (sqrt t))
91.0ms
(* (/ 3.0 (* z 2.0)) (* (/ x (* y 27.0)) (sqrt t)))

simplify103.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08391664
140041403
250011395

prune601.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.9s23657×body80nan
712.0ms8000×body80valid