Details

Time bar (total: 11.4s)

sample33.0ms

Algorithm
intervals
Results
14.0ms327×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
102080
9486
8199
7147
6121
5103
470
340
224
114
08

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- 1.0 y))
0.0b
(fma x y (* z (- 1.0 y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
20.0ms
(* z (- 1.0 y))
0.0ms
(fma x y (* z (- 1.0 y)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* z (- 1.0 y))
56.0ms
(fma x y (* z (- 1.0 y)))

simplify928.0ms

Counts
62 → 62
Iterations
IterNodes
done5000
2880
1255
0116

prune187.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(fma x y (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
0.0b
(* z (sqrt (- 1.0 y)))
0.1b
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*r* sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/ add-cube-cbrt
8×flip3-- flip--
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ *-commutative unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 90
Calls
4 calls:
8.0ms
(sqrt (- 1.0 y))
0.0ms
(fma x y (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
28.0ms
(* z (sqrt (- 1.0 y)))
52.0ms
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (- 1.0 y))
48.0ms
(fma x y (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
79.0ms
(* z (sqrt (- 1.0 y)))
52.0ms
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify1.3s

Counts
102 → 102
Iterations
IterNodes
done5000
21752
1393
0158

prune476.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (fma y (+ y 1.0) (* 1.0 1.0))) (sqrt (+ 1.0 y)))
0.1b
(* y (* y y))
2.6b
(sqrt (- (* (* 1.0 1.0) 1.0) (* y (* y y))))
6.4b
(sqrt (fma y (+ y 1.0) (* 1.0 1.0)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
22×add-sqr-sqrt
18×sqrt-prod
13×*-un-lft-identity
11×add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*l*
8×associate-*r*
6×pow-prod-down
5×pow-prod-up unswap-sqr
4×expm1-log1p-u sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square cube-unmult associate-*r/ *-commutative
1×pow2 difference-cubes flip3-+ pow-plus flip3-- sqrt-unprod pow3 pow-sqr flip-+ flip-- distribute-lft-out
Counts
4 → 94
Calls
4 calls:
39.0ms
(* (sqrt (fma y (+ y 1.0) (* 1.0 1.0))) (sqrt (+ 1.0 y)))
26.0ms
(* y (* y y))
66.0ms
(sqrt (- (* (* 1.0 1.0) 1.0) (* y (* y y))))
2.0ms
(sqrt (fma y (+ y 1.0) (* 1.0 1.0)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (sqrt (fma y (+ y 1.0) (* 1.0 1.0))) (sqrt (+ 1.0 y)))
62.0ms
(* y (* y y))
68.0ms
(sqrt (- (* (* 1.0 1.0) 1.0) (* y (* y y))))
77.0ms
(sqrt (fma y (+ y 1.0) (* 1.0 1.0)))

simplify1.6s

Counts
106 → 106
Iterations
IterNodes
done5002
22503
1448
0176

prune819.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
483.0ms10095×body80valid