Details

Time bar (total: 24.6s)

sample90.0ms

Algorithm
intervals
Results
41.0ms261×body80valid

simplify3.2s

Counts
1 → 1

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
31.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite492.0ms

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:
121.0ms
(* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)
85.0ms
(* (+ (* (+ y a) y) b) y)
32.0ms
(* (+ (* x y) z) y)
251.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series684.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)
54.0ms
(* (+ (* (+ y a) y) b) y)
41.0ms
(* (+ (* x y) z) y)
509.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.1s

Counts
105 → 105

prune781.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize85.0ms

Local error

Found 4 expressions with local error:

22.6b
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
22.6b
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
22.6b
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
31.1b
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite761.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*l/
12×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
9×times-frac
8×flip3-+ flip-+
6×add-exp-log frac-add add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
23.0ms
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
29.0ms
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
48.0ms
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
655.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.6s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
297.0ms
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
258.0ms
(cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))
717.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y)) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (cbrt (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y))) (/ 7925469156333415.0 34359738368.0)) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify955.0ms

Counts
82 → 82

prune983.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.8b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.4b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.7b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite672.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
54.0ms
(* (+ (* (+ y a) y) b) y)
27.0ms
(* (+ (* x y) z) y)
105.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
478.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (+ (* (+ y a) y) b) y)
64.0ms
(* (+ (* x y) z) y)
89.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
560.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.3s

Counts
127 → 127

prune937.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 30.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)))
31.1b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))

rewrite502.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*l/ add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
47.0ms
(* (+ (* (+ y a) y) b) y)
36.0ms
(* (+ (* x y) z) y)
185.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)))
225.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))

series1.6s

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ (* (+ y a) y) b) y)
48.0ms
(* (+ (* x y) z) y)
707.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t)))
768.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) (/ 471841060772561.0 17179869184.0)) y) (/ 7925469156333415.0 34359738368.0)) y) t))

simplify1.5s

Counts
167 → 167

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 30.8b

regimes1.2s

Accuracy

6.5% (1.0b remaining)

Error of 28.8b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.9s8261×body80valid