Details

Time bar (total: 7.7s)

sample58.0ms

Algorithm
intervals
Results
19.0ms380×body80valid
16.0ms371×body80nan

simplify50.0ms

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: 8.0b

localize20.0ms

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)) x)
0.2b
(* (- x 0.5) (log x))
7.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite70.0ms

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:
29.0ms
(+ (- (* (- 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:
427.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
427.0ms
(- (* (- x 0.5) (log x)) x)
260.0ms
(* (- x 0.5) (log x))
81.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0501839
11642776
25002763

prune398.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
7.3b
(/ (+ (* (- (* (+ 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)

series636.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
189.0ms
(cbrt x)
178.0ms
(cbrt x)
84.0ms
(/ (+ (* (- (* (+ 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

prune556.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
4.9b
(pow (/ 1 x) -1/3)
7.3b
(/ (+ (* (- (* (+ 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)

series614.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
182.0ms
(cbrt x)
170.0ms
(pow (/ 1 x) -1/3)
85.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0365576
11288519
25001507

prune473.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
4.9b
(pow (/ 1 x) -1/3)
7.4b
(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

rewrite25.0ms

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 associate-/r/ div-inv
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)
18.0ms
(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

series657.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
183.0ms
(cbrt x)
173.0ms
(pow (/ 1 x) -1/3)
116.0ms
(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0400589
11501534
25002520

prune471.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.3b

regimes479.0ms

Accuracy

41% (1.3b remaining)

Error of 5.1b against oracle of 3.8b and baseline of 6.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06550
16550

end0.0ms

sample1.6s

Algorithm
intervals
Results
619.0ms11669×body80valid
519.0ms11676×body80nan