Details

Time bar (total: 9.1s)

sample118.0ms

Algorithm
intervals
Results
53.0ms349×body80valid
42.0ms333×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: 4.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b
(* (- x 0.5) (log x))
4.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
20×add-cube-cbrt
12×log-prod
10×add-exp-log add-cbrt-cube
9×pow1 times-frac add-log-exp
8×associate-+l+ associate-*l*
7×associate-*r*
6×distribute-rgt-in distribute-lft-in associate--l+
4×associate-*l/
3×associate-/r* associate-/l*
2×flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×cbrt-undiv +-commutative associate-+l- sub-neg frac-2neg diff-log div-exp clear-num log-pow div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
27.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
20.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
13.0ms
(* (- x 0.5) (log x))
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series822.0ms

Counts
4 → 12
Calls
4 calls:
432.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
41.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
264.0ms
(* (- x 0.5) (log x))
85.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0549859
11944767
25002762

prune585.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.5b
(/ (+ (* (- (* (+ 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)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series598.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
174.0ms
(cbrt x)
169.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify102.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune359.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
4.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b
(pow x 1/3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp
3×unpow-prod-down pow-unpow associate-/r* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ unpow1/3 div-exp pow-exp clear-num flip-+ div-inv sqr-pow
Counts
4 → 69
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms
(pow x 1/3)

series594.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
173.0ms
(cbrt x)
83.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
165.0ms
(pow x 1/3)

simplify38.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0268467
11047415
25002409

prune433.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
4.2b
(pow (sqrt x) 1/3)
4.2b
(pow (sqrt x) 1/3)
4.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
9×times-frac
8×pow1 add-exp-log
6×pow-unpow pow-pow sqrt-prod add-cbrt-cube
4×add-log-exp
3×cbrt-prod associate-/r* associate-/l*
2×pow-to-exp sqrt-pow1 pow1/2 unpow1/3 pow-exp sqrt-pow2 associate-/l/ sqr-pow
1×cbrt-undiv frac-2neg flip3-+ pow1/3 div-exp clear-num flip-+ div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt x)
2.0ms
(pow (sqrt x) 1/3)
2.0ms
(pow (sqrt x) 1/3)
21.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series505.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
115.0ms
(pow (sqrt x) 1/3)
116.0ms
(pow (sqrt x) 1/3)
87.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362643
11301574
25001548

prune497.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.2b

regimes279.0ms

Accuracy

0% (1.2b remaining)

Error of 5.9b against oracle of 4.7b and baseline of 5.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04429
14629
24629

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.7s11712×body80valid
1.5s11651×body80nan