Details

Time bar (total: 10.6s)

sample56.0ms

Algorithm
intervals
Results
39.0ms339×body80valid

simplify806.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
71596
6565
5286
4200
399
247
125
014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ 2.0 t) (/ (fma z (- 1.0 t) 1) z) (/ x y))
10.9b
(/ (fma z (- 1.0 t) 1) z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma (/ 2.0 t) (/ (fma z (- 1.0 t) 1) z) (/ x y))
4.0ms
(/ (fma z (- 1.0 t) 1) z)

series152.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(fma (/ 2.0 t) (/ (fma z (- 1.0 t) 1) z) (/ x y))
42.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify648.0ms

Counts
47 → 47
Iterations
IterNodes
done2003
31069
2374
1149
083

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ 1.0 (/ 1 z)) t)
0.2b
(fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
15×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt
10×distribute-lft-out
7×add-log-exp
5×fma-neg div-inv
3×distribute-lft-out--
2×expm1-log1p-u pow1 add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u
1×sum-log sub-neg flip3-- associate--l+ fma-udef flip-- difference-of-squares
Counts
2 → 52
Calls
2 calls:
68.0ms
(- (+ 1.0 (/ 1 z)) t)
0.0ms
(fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(- (+ 1.0 (/ 1 z)) t)
71.0ms
(fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))

simplify813.0ms

Counts
58 → 58
Iterations
IterNodes
done2000
31921
2507
1198
091

prune205.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))) (cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))))
0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))

rewrite14.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
10.0ms
(* (cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))) (cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))))
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
495.0ms
(* (cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))) (cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y))))
198.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
203.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
224.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))

simplify686.0ms

Counts
97 → 97
Iterations
IterNodes
done2000
2992
1386
0165

prune572.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
0.6b
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
1.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))

series913.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
241.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
200.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))
199.0ms
(cbrt (fma (/ 2.0 t) (- (+ 1.0 (/ 1 z)) t) (/ x y)))

simplify769.0ms

Counts
68 → 68
Iterations
IterNodes
done2000
31428
2519
1209
096

prune566.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes571.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s10523×body80valid