Details

Time bar (total: 7.9s)

sample63.0ms

Algorithm
intervals
Results
20.0ms398×body80valid
19.0ms424×body80nan

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b
(- (* (- x 0.5) (log x)) x)
0.2b
(* (- x 0.5) (log x))
6.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite73.0ms

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:
30.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms
(- (* (- x 0.5) (log x)) x)
11.0ms
(* (- x 0.5) (log x))
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
426.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
412.0ms
(- (* (- x 0.5) (log x)) x)
252.0ms
(* (- x 0.5) (log x))
79.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0501839
11642776
25002763

prune392.0ms

Filtered
110 candidates to 84 candidates (76.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite24.0ms

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)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series601.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
170.0ms
(cbrt x)
175.0ms
(cbrt x)
81.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify96.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune364.0ms

Filtered
74 candidates to 62 candidates (83.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(pow (/ 1 x) -1/3)
6.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×unpow-prod-down
11×add-exp-log
6×pow1 cbrt-prod add-cbrt-cube
4×pow-exp add-log-exp
3×pow-unpow pow-pow div-exp associate-/r* associate-/l*
2×pow1/3 div-inv associate-/l/
1×cbrt-undiv pow-to-exp rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ inv-pow sqr-pow
Counts
4 → 83
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
4.0ms
(pow (/ 1 x) -1/3)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series608.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
174.0ms
(cbrt x)
175.0ms
(pow (/ 1 x) -1/3)
82.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0365576
11288519
25001507

prune474.0ms

Filtered
95 candidates to 69 candidates (72.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.8b

localize48.0ms

Local error

Found 4 expressions with local error:

3.5b
(pow (/ 1 (cbrt x)) -1/3)
4.4b
(pow (/ 1 (pow x 2/3)) -1/3)
5.9b
(pow x 2/3)
6.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
59×unpow-prod-down
48×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×add-exp-log
18×pow-exp
9×cbrt-prod pow-unpow div-exp
8×pow1 pow-pow
6×pow-to-exp add-cbrt-cube sqr-pow
4×rec-exp 1-exp add-log-exp
3×pow-flip associate-/r* div-inv associate-/l*
2×associate-/l/ inv-pow
1×cbrt-undiv frac-2neg flip3-+ pow1/3 clear-num flip-+
Counts
4 → 138
Calls
4 calls:
5.0ms
(pow (/ 1 (cbrt x)) -1/3)
7.0ms
(pow (/ 1 (pow x 2/3)) -1/3)
1.0ms
(pow x 2/3)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts
4 → 12
Calls
4 calls:
311.0ms
(pow (/ 1 (cbrt x)) -1/3)
272.0ms
(pow (/ 1 (pow x 2/3)) -1/3)
342.0ms
(pow x 2/3)
84.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07021009
12512832
25001826

prune594.0ms

Filtered
150 candidates to 83 candidates (55.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.8b

regimes344.0ms

Accuracy

0% (1.2b remaining)

Error of 5.8b against oracle of 4.6b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample1.7s

Algorithm
intervals
Results
616.0ms11689×body80valid
534.0ms11704×body80nan