Details

Time bar (total: 7.4s)

sample57.0ms

Algorithm
intervals
Results
19.0ms374×body80valid
16.0ms373×body80nan

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 5.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b
(* (- x 0.5) (log x))
0.2b
(- (* (- x 0.5) (log x)) x)
5.0b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite75.0ms

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:
31.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
11.0ms
(* (- x 0.5) (log x))
8.0ms
(- (* (- x 0.5) (log x)) x)
22.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
432.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
257.0ms
(* (- x 0.5) (log x))
410.0ms
(- (* (- x 0.5) (log x)) x)
79.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0501839
11642776
25002763

prune409.0ms

Filtered
110 candidates to 84 candidates (76.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
5.0b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite25.0ms

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)
22.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series638.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
187.0ms
(cbrt x)
185.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify98.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune549.0ms

Filtered
74 candidates to 62 candidates (83.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
5.0b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b
(pow (/ 1 x) -1/3)

rewrite30.0ms

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)
1.0ms
(cbrt x)
23.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.0ms
(pow (/ 1 x) -1/3)

series618.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
174.0ms
(cbrt x)
89.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
179.0ms
(pow (/ 1 x) -1/3)

simplify40.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0365576
11288519
25001507

prune441.0ms

Filtered
95 candidates to 69 candidates (72.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
4.2b
(exp (* (log x) 1/3))
5.0b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-prod add-cbrt-cube
5×add-log-exp
4×pow1
3×associate-/r* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv exp-prod exp-to-pow frac-2neg flip3-+ div-exp clear-num flip-+ div-inv rem-exp-log
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(exp (* (log x) 1/3))
22.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series600.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
171.0ms
(cbrt x)
168.0ms
(exp (* (log x) 1/3))
82.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify102.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0239452
1799409
23634397
35001395

prune365.0ms

Filtered
73 candidates to 58 candidates (79.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.8b

regimes294.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample1.6s

Algorithm
intervals
Results
600.0ms11804×body80valid
520.0ms11753×body80nan