Details

Time bar (total: 25.3s)

sample63.0ms

Algorithm
intervals
Results
26.0ms353×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27811
317611
428311
541511
654911
780311
8204811
done500111

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
73.0ms
(* (* z z) (+ z 1.0))
57.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (* z z) (+ z 1.0))
142.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify4.5s

Counts
61 → 61
Iterations

Useful iterations: 2 (837.0ms)

IterNodesCost
0116898
1401844
23767671
done5000671

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize21.0ms

Local error

Found 2 expressions with local error:

4.8b
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
8.6b
(/ x (pow z 2))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×add-sqr-sqrt
48×*-un-lft-identity
42×add-cube-cbrt
31×add-exp-log
28×associate-*l*
23×unpow-prod-down
18×associate-*r*
16×add-cbrt-cube
13×div-exp
10×unswap-sqr
9×unpow2 sqr-pow
8×prod-exp associate-/r*
5×cbrt-undiv
4×pow1 cbrt-unprod
3×pow-to-exp pow-exp div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 133
Calls
2 calls:
98.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
13.0ms
(/ x (pow z 2))

series145.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
39.0ms
(/ x (pow z 2))

simplify3.5s

Counts
139 → 139
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
02211908
16691797
238341578
done50011578

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (pow z (/ 2 2))) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
165×add-exp-log
78×prod-exp
58×div-exp
57×add-cbrt-cube
32×cbrt-unprod
22×cbrt-undiv
11×associate-*l*
10×add-sqr-sqrt pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp
9×pow1 cbrt-prod
7×times-frac
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv sqr-pow
Counts
4 → 120
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
166.0ms
(* (/ (* (cbrt x) (cbrt x)) (pow z (/ 2 2))) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
366.0ms
(cbrt x)
385.0ms
(cbrt x)
413.0ms
(cbrt x)
169.0ms
(* (/ (* (cbrt x) (cbrt x)) (pow z (/ 2 2))) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify3.4s

Counts
132 → 132
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
01982833
16972419
245831523
done50001523

prune897.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (/ (cbrt x) (cbrt z)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log cbrt-prod
40×associate-*r*
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-cbrt-cube
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×pow1
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
1×associate-*l* *-commutative div-inv
Counts
4 → 119
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
156.0ms
(* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (/ (cbrt x) (cbrt z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
359.0ms
(cbrt x)
382.0ms
(cbrt x)
404.0ms
(cbrt x)
383.0ms
(* (* (/ (cbrt x) z) (/ y (+ z 1.0))) (/ (cbrt x) (cbrt z)))

simplify642.0ms

Counts
131 → 131
Iterations

Useful iterations: done (634.0ms)

IterNodesCost
02562124
18252014
done50001738

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01933
12429
22825
33025
done3025

end0.0ms

sample2.1s

Algorithm
intervals
Results
798.0ms10809×body80valid