Details

Time bar (total: 20.5s)

sample54.0ms

Algorithm
intervals
Results
30.0ms266×body80valid

simplify2.5s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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/ insert-posit16 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 → 72
Calls
2 calls:
60.0ms
(/ (- z y) (- (+ 1.0 t) z))
0.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- z y) (- (+ 1.0 t) z))
119.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

simplify2.1s

Counts
78 → 78
Iterations
IterNodes
done5002
33545
2844
1300
0124

prune375.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite535.0ms

Algorithm
rewrite-expression-head
Rules
1353×*-un-lft-identity
946×times-frac
844×add-sqr-sqrt
576×prod-diff
518×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l* add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 736
Calls
4 calls:
353.0ms
(- (/ z (- (+ 1.0 t) z)) (/ y (- (+ 1.0 t) z)))
36.0ms
(/ y (- (+ 1.0 t) z))
69.0ms
(/ z (- (+ 1.0 t) z))
1.0ms
(fma (- (/ z (- (+ 1.0 t) z)) (/ y (- (+ 1.0 t) z))) a x)

series576.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(- (/ z (- (+ 1.0 t) z)) (/ y (- (+ 1.0 t) z)))
70.0ms
(/ y (- (+ 1.0 t) z))
83.0ms
(/ z (- (+ 1.0 t) z))
201.0ms
(fma (- (/ z (- (+ 1.0 t) z)) (/ y (- (+ 1.0 t) z))) a x)

simplify2.8s

Counts
748 → 748
Iterations
IterNodes
done5000
23375
11353
0592

prune3.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (+ 1.0 t) z) (- z y))
0.4b
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))
0.5b
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)

rewrite183.0ms

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 insert-posit16 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 → 243
Calls
3 calls:
91.0ms
(/ (- (+ 1.0 t) z) (- z y))
80.0ms
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))
1.0ms
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)

series449.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ (- (+ 1.0 t) z) (- z y))
142.0ms
(/ 1 (/ (- (+ 1.0 t) z) (- z y)))
231.0ms
(fma (/ 1 (/ (- (+ 1.0 t) z) (- z y))) a x)

simplify1.6s

Counts
252 → 252
Iterations
IterNodes
done5003
22081
1773
0292

prune987.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma (- (/ z (- (+ 1.0 t) z)) (/ (* (cbrt y) (cbrt y)) (/ (- (+ 1.0 t) z) (cbrt y)))) a x)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
0.0ms
(fma (- (/ z (- (+ 1.0 t) z)) (/ (* (cbrt y) (cbrt y)) (/ (- (+ 1.0 t) z) (cbrt y)))) a x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
227.0ms
(fma (- (/ z (- (+ 1.0 t) z)) (/ (* (cbrt y) (cbrt y)) (/ (- (+ 1.0 t) z) (cbrt y)))) a x)
269.0ms
(cbrt y)
246.0ms
(cbrt y)
294.0ms
(cbrt y)

simplify1.7s

Counts
65 → 65
Iterations
IterNodes
done5000
42149
3579
2221
199
054

prune418.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes326.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample876.0ms

Algorithm
intervals
Results
618.0ms8467×body80valid
0.0ms1×body320valid