Details

Time bar (total: 3.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms
(* (/ 841.0 108.0) x)

series53.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ 841.0 (sqrt 108.0)) x)
0.0b
(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
0.3b
(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
44×associate-*l*
38×add-sqr-sqrt times-frac
30×add-cube-cbrt *-un-lft-identity
29×add-cbrt-cube
22×prod-exp
19×sqrt-prod
12×cbrt-unprod
11×div-exp
10×pow1
7×associate-*l/
6×cbrt-undiv
5×add-log-exp
4×associate-*r* pow-prod-down
3×rec-exp 1-exp frac-add unswap-sqr
2×frac-times associate-*r/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 110
Calls
3 calls:
14.0ms
(* (/ 841.0 (sqrt 108.0)) x)
21.0ms
(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
24.0ms
(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

series320.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (/ 841.0 (sqrt 108.0)) x)
150.0ms
(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
102.0ms
(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

simplify72.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0508832
12737674
25002592

prune215.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 841.0 (sqrt 108.0)) x)
0.0b
(+ (* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0))
0.1b
(/ (+ (* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))
0.3b
(* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0)

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
29×add-sqr-sqrt
28×add-cbrt-cube
23×times-frac associate-*l*
21×add-cube-cbrt *-un-lft-identity
20×prod-exp
15×pow1
12×cbrt-unprod
10×sqrt-prod
7×pow-prod-down
6×associate-*r* add-log-exp
5×div-exp
4×cbrt-undiv
3×1-exp associate-*l/ associate-/l* unswap-sqr
2×flip3-+ *-commutative flip-+ div-inv associate-/l/
1×+-commutative frac-2neg associate-*r/ clear-num associate-/r* sum-log
Counts
4 → 103
Calls
4 calls:
11.0ms
(* (/ 841.0 (sqrt 108.0)) x)
51.0ms
(+ (* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0))
152.0ms
(/ (+ (* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))
54.0ms
(* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0)

series511.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (/ 841.0 (sqrt 108.0)) x)
143.0ms
(+ (* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0))
242.0ms
(/ (+ (* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))
67.0ms
(* (* 1 (* (/ 841.0 (sqrt 108.0)) x)) 29.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0519964
12276805
25001800

prune257.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 841.0 (sqrt 108.0)) x)
0.0b
(+ (* (* (cbrt (/ 1 (sqrt 108.0))) (cbrt (/ 1 (sqrt 108.0)))) (* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x))) (/ 4.0 29.0))
0.3b
(* (* (cbrt (/ 1 (sqrt 108.0))) (cbrt (/ 1 (sqrt 108.0)))) (* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x)))
0.4b
(* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log cbrt-div
48×associate-*l*
42×associate-*l/
40×add-sqr-sqrt
38×times-frac
35×frac-times
33×add-cbrt-cube
32×pow1 add-cube-cbrt *-un-lft-identity
29×prod-exp cbrt-unprod
23×associate-*r/
22×cbrt-prod
19×pow-prod-down sqrt-prod
15×frac-add
6×add-log-exp
5×associate-*r*
4×cbrt-undiv div-exp
3×*-commutative unswap-sqr
2×div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 160
Calls
4 calls:
11.0ms
(* (/ 841.0 (sqrt 108.0)) x)
82.0ms
(+ (* (* (cbrt (/ 1 (sqrt 108.0))) (cbrt (/ 1 (sqrt 108.0)))) (* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x))) (/ 4.0 29.0))
80.0ms
(* (* (cbrt (/ 1 (sqrt 108.0))) (cbrt (/ 1 (sqrt 108.0)))) (* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x)))
29.0ms
(* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x))

series769.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (/ 841.0 (sqrt 108.0)) x)
156.0ms
(+ (* (* (cbrt (/ 1 (sqrt 108.0))) (cbrt (/ 1 (sqrt 108.0)))) (* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x))) (/ 4.0 29.0))
106.0ms
(* (* (cbrt (/ 1 (sqrt 108.0))) (cbrt (/ 1 (sqrt 108.0)))) (* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x)))
442.0ms
(* (cbrt (/ 1 (sqrt 108.0))) (* (/ 841.0 (sqrt 108.0)) x))

simplify94.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07532134
132031752
250011641

prune377.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample239.0ms

Algorithm
intervals
Results
150.0ms8010×body80valid
0.0ms2×body1280valid
0.0ms1×body320valid