Details

Time bar (total: 13.7s)

sample28.0ms

Algorithm
intervals
Results
11.0ms276×body80valid

simplify315.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4779
51099
61389
71559
81709
91779
101839
111859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
42.0ms
(/ (- x y) (- z y))
80.0ms
(* (/ (- x y) (- z y)) t)

series174.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- x y) (- z y))
116.0ms
(* (/ (- x y) (- z y)) t)

simplify1.2s

Counts
112 → 112
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01471339
13811303
214761225
done50011219

prune349.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
0.0b
(/ x (- z y))
1.8b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite733.0ms

Algorithm
rewrite-expression-head
Rules
743×*-un-lft-identity
725×add-sqr-sqrt
711×times-frac
441×prod-diff
417×add-cube-cbrt
161×distribute-lft-out--
149×difference-of-squares
98×associate-/r/
51×flip3-- flip--
49×div-inv
21×fma-neg
18×associate-*l*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 610
Calls
4 calls:
177.0ms
(- (/ x (- z y)) (/ y (- z y)))
19.0ms
(/ y (- z y))
14.0ms
(/ x (- z y))
433.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series413.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (/ x (- z y)) (/ y (- z y)))
54.0ms
(/ y (- z y))
52.0ms
(/ x (- z y))
209.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.3s

Counts
622 → 622
Iterations

Useful iterations: 2 (756.0ms)

IterNodesCost
059328840
1133726001
2437320527
done500020527

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (fma (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- z y)) (- (/ y (- z y)))) t)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(* (fma (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- z y)) (- (/ y (- z y)))) t)

series1.2s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt x)
231.0ms
(cbrt x)
288.0ms
(cbrt x)
442.0ms
(* (fma (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- z y)) (- (/ y (- z y)))) t)

simplify2.0s

Counts
71 → 71
Iterations

Useful iterations: 3 (425.0ms)

IterNodesCost
066801
1124736
2387596
32691482
done5000482

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
11.2b
(* (- x y) (/ t (- z y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
11.0ms
(/ t (- z y))
58.0ms
(* (- x y) (/ t (- z y)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ t (- z y))
81.0ms
(* (- x y) (/ t (- z y)))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01341009
1325968
21682896
done5001888

prune282.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample1.0s

Algorithm
intervals
Results
493.0ms8756×body80valid