Details

Time bar (total: 6.5s)

sample69.0ms

Algorithm
intervals
Results
19.0ms389×body80valid
19.0ms435×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (19.0ms)

IterNodesCost
04012
19212
226912
366912
4156511
5285511
6500111

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.1b
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.1b
(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
3.8b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l* prod-diff associate-/r* associate-/l*
2×flip3-- associate-*l/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod flip-+ fma-udef div-inv unswap-sqr
Counts
4 → 81
Calls
4 calls:
14.0ms
(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
45.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.0ms
(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
55.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series287.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
41.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
134.0ms
(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
87.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0432812
11472709
25003707

prune332.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.1b
(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.1b
(fma (log x) (- x 0.5) (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- x 0.91893853320467)))
3.8b
(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×prod-diff associate-/r* associate-/l*
2×fma-udef
1×cbrt-undiv sub-neg flip3-- frac-2neg fma-neg diff-log div-exp clear-num flip-- div-inv
Counts
4 → 67
Calls
4 calls:
13.0ms
(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.0ms
(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
0.0ms
(fma (log x) (- x 0.5) (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- x 0.91893853320467)))
5.0ms
(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

series285.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
38.0ms
(fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333)
133.0ms
(fma (log x) (- x 0.5) (- (/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x) (- x 0.91893853320467)))
82.0ms
(/ (fma (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z 0.083333333333333) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0346664
11103575
25002568

prune303.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333)
0.1b
(fma (log x) (- x 0.5) (- (/ (fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333) x) (- x 0.91893853320467)))
3.8b
(/ (fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333)
0.0ms
(fma (log x) (- x 0.5) (- (/ (fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333) x) (- x 0.91893853320467)))
5.0ms
(/ (fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333) x)

series268.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333)
133.0ms
(fma (log x) (- x 0.5) (- (/ (fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333) x) (- x 0.91893853320467)))
90.0ms
(/ (fma (fma (+ y 0.0007936500793651) z (- 0.0027777777777778)) z 0.083333333333333) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0238544
1666486
22660476
35002469

prune241.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (- x 0.5) (log x)) x)
0.1b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b
(* (- x 0.5) (log x))
3.8b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt *-un-lft-identity
23×add-cube-cbrt
18×log-prod
12×associate--l+
11×associate-+l+ add-log-exp
9×distribute-rgt-in distribute-lft-in times-frac
8×add-exp-log add-cbrt-cube
7×pow1
6×prod-diff
5×associate-*l*
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×fma-def 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 fma-neg 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 → 116
Calls
4 calls:
19.0ms
(- (* (- x 0.5) (log x)) x)
65.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
23.0ms
(* (- x 0.5) (log x))
54.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
416.0ms
(- (* (- x 0.5) (log x)) x)
441.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
259.0ms
(* (- x 0.5) (log x))
92.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0576925
12275825
25001802

prune448.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

regimes327.0ms

Accuracy

81.4% (0.4b remaining)

Error of 4.3b against oracle of 3.9b and baseline of 6.0b

bsearch51.0ms

Steps
ItersRangePoint
6
2.682409311676644e+63
1.7823945174141656e+64
2.7174256984505084e+63

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03520
13520

end0.0ms

sample2.0s

Algorithm
intervals
Results
679.0ms11593×body80nan
598.0ms11650×body80valid