Details

Time bar (total: 21.8s)

sample48.0ms

Algorithm
intervals
Results
19.0ms271×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5009
94334
83012
72159
61263
5559
4207
3103
258
125
012

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- (+ 1.0 t) z))
0.3b
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
41×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
15×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 70
Calls
2 calls:
50.0ms
(/ (- z y) (- (+ 1.0 t) z))
0.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

series196.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- z y) (- (+ 1.0 t) z))
142.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

simplify2.3s

Counts
76 → 76
Iterations
IterNodes
done5001
33509
2844
1298
0122

prune605.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (+ 1.0 t) z) (- z y))
0.3b
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)
0.5b
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
293×*-un-lft-identity
258×times-frac
215×add-sqr-sqrt
101×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×flip3-- div-inv flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×div-sub fma-udef pow-flip inv-pow
Counts
3 → 240
Calls
3 calls:
138.0ms
(/ (- (+ 1.0 t) z) (- z y))
1.0ms
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)
91.0ms
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))

series579.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (- (+ 1.0 t) z) (- z y))
302.0ms
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)
187.0ms
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))

simplify2.5s

Counts
249 → 249
Iterations
IterNodes
done5002
22562
1767
0289

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- (+ 1.0 t) z)) (cbrt (- (+ 1.0 t) z)))
0.4b
(cbrt (- (+ 1.0 t) z))
0.4b
(cbrt (- (+ 1.0 t) z))
0.4b
(cbrt (- (+ 1.0 t) z))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
58×cbrt-prod
37×add-sqr-sqrt
22×distribute-lft-out--
18×cbrt-div
15×swap-sqr add-cube-cbrt
11×pow1 distribute-lft-out
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
175.0ms
(* (cbrt (- (+ 1.0 t) z)) (cbrt (- (+ 1.0 t) z)))
15.0ms
(cbrt (- (+ 1.0 t) z))
19.0ms
(cbrt (- (+ 1.0 t) z))
22.0ms
(cbrt (- (+ 1.0 t) z))

series638.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (cbrt (- (+ 1.0 t) z)) (cbrt (- (+ 1.0 t) z)))
167.0ms
(cbrt (- (+ 1.0 t) z))
155.0ms
(cbrt (- (+ 1.0 t) z))
176.0ms
(cbrt (- (+ 1.0 t) z))

simplify2.5s

Counts
131 → 131
Iterations
IterNodes
done5010
32479
2906
1333
0144

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)) (cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)))
0.6b
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))
0.6b
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))
0.6b
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)) (cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)))
1.0ms
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))
1.0ms
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))
1.0ms
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))

series2.2s

Counts
4 → 12
Calls
4 calls:
914.0ms
(* (cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)) (cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)))
469.0ms
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))
412.0ms
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))
419.0ms
(cbrt (fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x))

simplify2.0s

Counts
93 → 93
Iterations
IterNodes
done5001
42281
3764
2329
1153
075

prune603.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes717.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
514.0ms8473×body80valid
0.0ms1×body640valid