Details

Time bar (total: 14.7s)

sample56.0ms

Algorithm
intervals
Results
24.0ms262×body80valid

simplify155.0ms

Counts
1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
30.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1 associate-*l/
9×times-frac associate-*r* associate-*l*
6×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×frac-add associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 93
Calls
4 calls:
35.0ms
(* (+ (* x y) z) y)
82.0ms
(* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)
83.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
165.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series674.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (+ (* x y) z) y)
69.0ms
(* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)
89.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
464.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify74.0ms

Counts
105 → 105

prune653.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite415.0ms

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×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
409.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.4s

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt y)
216.0ms
(cbrt y)
207.0ms
(cbrt y)
688.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify152.0ms

Counts
76 → 76

prune638.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 29.7b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (/ 1 (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i)))

rewrite964.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×*-un-lft-identity
15×add-cube-cbrt associate-*r*
13×add-exp-log
11×times-frac
9×cbrt-prod add-cbrt-cube
6×pow1
4×prod-exp add-log-exp
3×flip3-+ pow1/3 associate-*l* flip-+ unswap-sqr
2×frac-times div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
957.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (/ 1 (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i)))

series1.4s

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt y)
233.0ms
(cbrt y)
239.0ms
(cbrt y)
671.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (/ 1 (+ (* (* (+ (* (+ (* (+ y a) y) b) y) c) (* (cbrt y) (cbrt y))) (cbrt y)) i)))

simplify50.0ms

Counts
87 → 87

prune706.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 29.7b

localize71.0ms

Local error

Found 4 expressions with local error:

19.4b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
19.4b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
19.4b
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
23.4b
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))))

rewrite597.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 115
Calls
4 calls:
68.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
65.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
64.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
393.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))))

series1.3s

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
278.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
313.0ms
(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))
448.0ms
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))))

simplify77.0ms

Counts
127 → 127

prune1.3s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 29.7b

regimes887.0ms

Accuracy

0% (1.1b remaining)

Error of 29.6b against oracle of 28.6b and baseline of 29.6b

bsearch0.0ms

simplify176.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s8235×body80valid