Details

Time bar (total: 22.4s)

sample79.0ms

Algorithm
intervals
Results
50.0ms445×body80valid

simplify183.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
183.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

prune367.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(fma i c (fma a b (fma x y (* z t))))
0.0b
(fma a b (fma x y (* z t)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
3 → 33
Calls
3 calls:
Slowest
1.0ms
(fma x y (* z t))
1.0ms
(fma i c (fma a b (fma x y (* z t))))
0.0ms
(fma a b (fma x y (* z t)))

series459.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
331.0ms
(fma i c (fma a b (fma x y (* z t))))
79.0ms
(fma a b (fma x y (* z t)))
49.0ms
(fma x y (* z t))

simplify201.0ms

Counts
9 → 42
Calls
9 calls:
Slowest
57.0ms
(+ (* a b) (+ (* t z) (* x y)))
50.0ms
(+ (* a b) (+ (* t z) (* x y)))
34.0ms
(+ (* a b) (+ (* t z) (* x y)))
28.0ms
(+ (* a b) (+ (* t z) (* x y)))
17.0ms
(+ (* t z) (* x y))

prune671.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (fma x y (* z t)))
1.9b
(cbrt (fma x y (* z t)))
1.9b
(cbrt (fma x y (* z t)))
0.5b
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))

rewrite22.0ms

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:
Slowest
16.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
2.0ms
(cbrt (fma x y (* z t)))
1.0ms
(cbrt (fma x y (* z t)))
1.0ms
(cbrt (fma x y (* z t)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
187.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
163.0ms
(cbrt (fma x y (* z t)))
157.0ms
(cbrt (fma x y (* z t)))
128.0ms
(cbrt (fma x y (* z t)))

simplify5.1s

Counts
65 → 97
Calls
65 calls:
Slowest
390.0ms
(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))
390.0ms
(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))
344.0ms
(exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))
319.0ms
(+ (exp (* 1/3 (+ (* 2 (log z)) (* 2 (log t))))) (* 2/3 (* x (* y (exp (* -1/3 (+ (log t) (log z))))))))
310.0ms
(exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
0.1b
(sqrt (fma a b (fma x y (* z t))))
0.1b
(sqrt (fma a b (fma x y (* z t))))
0.0b
(fma x y (* z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 95
Calls
4 calls:
Slowest
16.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
1.0ms
(sqrt (fma a b (fma x y (* z t))))
1.0ms
(sqrt (fma a b (fma x y (* z t))))
0.0ms
(fma x y (* z t))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
551.0ms
(sqrt (fma a b (fma x y (* z t))))
532.0ms
(sqrt (fma a b (fma x y (* z t))))
102.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
72.0ms
(fma x y (* z t))

simplify5.8s

Counts
81 → 107
Calls
81 calls:
Slowest
699.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
694.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
683.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
627.0ms
(* (* (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))) (sqrt (fma a b (fma x y (* z t))))) (* (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))) (sqrt (fma a b (fma x y (* z t))))))
164.0ms
(* (* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t)))))) (* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t)))))))

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes662.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.2s13723×body80valid