Details

Time bar (total: 8.3s)

sample62.0ms

Algorithm
intervals
Results
17.0ms326×body80valid
17.0ms376×body80nan

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize19.0ms

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))
0.2b
(- (* (- x 0.5) (log x)) x)
5.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite154.0ms

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:
58.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
23.0ms
(* (- x 0.5) (log x))
16.0ms
(- (* (- x 0.5) (log x)) x)
53.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
438.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
263.0ms
(* (- x 0.5) (log x))
439.0ms
(- (* (- x 0.5) (log x)) x)
91.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0501839
11642776
25002763

prune374.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite55.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
51.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series636.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
182.0ms
(cbrt x)
181.0ms
(cbrt x)
91.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune367.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(pow (/ 1 x) -1/3)
5.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite61.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(pow (/ 1 x) -1/3)
51.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series640.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
180.0ms
(cbrt x)
182.0ms
(pow (/ 1 x) -1/3)
88.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0365576
11288519
25001507

prune450.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.0b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))
3.8b
(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))
5.0b
(pow (/ 1 x) -1/3)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
285×times-frac
165×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
16×add-exp-log
13×unpow-prod-down
12×associate-/r*
11×add-cbrt-cube
10×div-inv
6×pow1 div-exp
4×cbrt-undiv pow-exp add-log-exp
3×cbrt-prod pow-unpow pow-pow associate-/l/
2×frac-2neg clear-num
1×pow-to-exp rec-exp pow-flip flip3-+ pow1/3 1-exp flip-+ inv-pow sqr-pow
Counts
4 → 259
Calls
4 calls:
1.0ms
(cbrt x)
50.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))
53.0ms
(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))
6.0ms
(pow (/ 1 x) -1/3)

series541.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
89.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))
87.0ms
(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))
181.0ms
(pow (/ 1 x) -1/3)

simplify91.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
08854177
137303811
250013785

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.3b

regimes236.0ms

Accuracy

0% (1.3b remaining)

Error of 6.3b against oracle of 5.0b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04324
14324

end0.0ms

sample1.8s

Algorithm
intervals
Results
601.0ms11596×body80valid
512.0ms11632×body80nan