Details

Time bar (total: 9.7s)

sample109.0ms

Algorithm
intervals
Results
47.0ms389×body80valid
37.0ms404×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b
(- (* (- x 0.5) (log x)) x)
0.2b
(* (- x 0.5) (log x))
7.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×log-prod
12×associate--l+
11×add-log-exp
9×distribute-rgt-in distribute-lft-in times-frac
8×add-exp-log associate-+l+ add-cbrt-cube
7×pow1
5×associate-*l*
4×associate-*r*
3×associate-/r* associate-/l*
2×sub-neg flip3-- flip3-+ diff-log associate-*l/ sum-log flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg div-exp pow-prod-down prod-exp clear-num log-pow *-commutative cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
26.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms
(- (* (- x 0.5) (log x)) x)
11.0ms
(* (- x 0.5) (log x))
20.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
425.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
418.0ms
(- (* (- x 0.5) (log x)) x)
247.0ms
(* (- x 0.5) (log x))
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0501839
11642776
25002763

prune388.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
7.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
20.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series619.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
181.0ms
(cbrt x)
174.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify99.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune356.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)
7.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod associate-+l+
12×associate-+r+
9×times-frac
8×associate-*l/
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-- frac-add flip--
3×associate-/r* associate-/l*
2×flip3-+ pow1/3 flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out
Counts
4 → 103
Calls
4 calls:
17.0ms
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
20.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
778.0ms
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
178.0ms
(cbrt x)
186.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify127.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06241080
12446943
25001919

prune622.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt x))
0.5b
(cbrt (sqrt x))
0.6b
(cbrt x)
7.6b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
9×times-frac
6×add-exp-log sqrt-prod add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))
0.0ms
(cbrt x)
20.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series595.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (sqrt x))
155.0ms
(cbrt (sqrt x))
195.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify149.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0277548
1911500
24738481
35003481

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

regimes307.0ms

Accuracy

33.7% (0.8b remaining)

Error of 5.8b against oracle of 5.0b and baseline of 6.2b

bsearch105.0ms

Steps
ItersRangePoint
8
1.0862495195395426e+70
1.5973840691655714e+73
1.0245783464652857e+73

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06229
16229

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s11579×body80valid
1.1s11717×body80nan