Details

Time bar (total: 15.1s)

sample80.0ms

Algorithm
intervals
Results
25.0ms376×body80valid
22.0ms370×body80nan

simplify42.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b
(- (* (- x 0.5) (log x)) x)
0.2b
(* (- x 0.5) (log x))
5.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite170.0ms

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:
63.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
18.0ms
(- (* (- x 0.5) (log x)) x)
24.0ms
(* (- x 0.5) (log x))
62.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts
4 → 12
Calls
4 calls:
918.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
597.0ms
(- (* (- x 0.5) (log x)) x)
367.0ms
(* (- x 0.5) (log x))
93.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify48.0ms

Counts
110 → 110

prune594.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)
5.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod associate-+l+
12×associate-+r+
9×times-frac
8×associate-*l/
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-- frac-add flip--
3×associate-/r* associate-/l*
2×flip3-+ pow1/3 flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out
Counts
4 → 103
Calls
4 calls:
41.0ms
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
61.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts
4 → 12
Calls
4 calls:
1.1s
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
264.0ms
(cbrt x)
279.0ms
(cbrt x)
116.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify80.0ms

Counts
115 → 115

prune837.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
9×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 → 65
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
6.0ms
(cbrt (cbrt x))
92.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series993.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt x)
295.0ms
(cbrt x)
339.0ms
(cbrt (cbrt x))
116.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify58.0ms

Counts
77 → 77

prune765.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* (log (pow x 1/3)) (- (* 3 x) 1.5)) x)
0.3b
(* (log (pow x 1/3)) (- (* 3 x) 1.5))
5.0b
(pow x 1/3)
5.5b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
9×add-exp-log times-frac
8×add-cbrt-cube
7×pow1
6×add-log-exp
5×sub-neg
4×distribute-rgt-in distribute-lft-in associate-*l* associate--l+
3×unpow-prod-down pow-unpow associate-*r* associate-/r* associate-/l*
2×flip3-- associate-*r/ flip-- associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ unpow1/3 diff-log div-exp pow-prod-down pow-exp prod-exp clear-num log-pow *-commutative cbrt-unprod flip-+ div-inv unswap-sqr sqr-pow
Counts
4 → 88
Calls
4 calls:
25.0ms
(- (* (log (pow x 1/3)) (- (* 3 x) 1.5)) x)
31.0ms
(* (log (pow x 1/3)) (- (* 3 x) 1.5))
3.0ms
(pow x 1/3)
59.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts
4 → 12
Calls
4 calls:
1.0s
(- (* (log (pow x 1/3)) (- (* 3 x) 1.5)) x)
563.0ms
(* (log (pow x 1/3)) (- (* 3 x) 1.5))
252.0ms
(pow x 1/3)
103.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify40.0ms

Counts
100 → 100

prune409.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.5b

regimes573.0ms

Accuracy

42.3% (0.7b remaining)

Error of 5.5b against oracle of 4.8b and baseline of 6.0b

bsearch94.0ms

Steps
ItersRangePoint
6
1.3127248117505273e+72
1.160257874629883e+73
3.4286684898720413e+72

simplify36.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.6s11961×body80nan
1.5s11669×body80valid