Details

Time bar (total: 34.9s)

sample114.0ms

Algorithm
intervals
Results
76.0ms448×body80valid

simplify137.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
137.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 22
Calls
2 calls:
Slowest
0.0ms
(fma i c (fma a b (fma x y (* z t))))
0.0ms
(fma a b (fma x y (* z t)))

series471.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
363.0ms
(fma i c (fma a b (fma x y (* z t))))
107.0ms
(fma a b (fma x y (* z t)))

simplify138.0ms

Counts
6 → 28
Calls
6 calls:
Slowest
34.0ms
(+ (* a b) (+ (* t z) (* x y)))
34.0ms
(+ (* a b) (+ (* t z) (* x y)))
33.0ms
(+ (* a b) (+ (* t z) (* x y)))
32.0ms
(+ (* a b) (+ (* t z) (* x y)))
2.0ms
0

prune404.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×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
1×+-commutative associate-+r+ sum-log fma-def flip3-+ flip-+
Counts
2 → 27
Calls
2 calls:
Slowest
10.0ms
(+ (* i c) (fma a b (fma x y (* z t))))
0.0ms
(fma a b (fma x y (* z t)))

series454.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
359.0ms
(+ (* i c) (fma a b (fma x y (* z t))))
95.0ms
(fma a b (fma x y (* z t)))

simplify487.0ms

Counts
8 → 33
Calls
8 calls:
Slowest
287.0ms
(* (exp (* i c)) (exp (fma a b (fma x y (* z t)))))
53.0ms
(+ (* a b) (+ (* t z) (* x y)))
53.0ms
(+ (* a b) (+ (* t z) (* x y)))
51.0ms
(+ (* a b) (+ (* t z) (* x y)))
30.0ms
(+ (* a b) (+ (* t z) (* x y)))

prune495.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (fma a b (fma x y (* z t))))
0.8b
(cbrt (fma a b (fma x y (* z t))))
0.8b
(cbrt (fma a b (fma x y (* z t))))
0.5b
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (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 a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
277.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
182.0ms
(cbrt (fma a b (fma x y (* z t))))
181.0ms
(cbrt (fma a b (fma x y (* z t))))
181.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify7.2s

Counts
65 → 97
Calls
65 calls:
Slowest
698.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
613.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
397.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
365.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
332.0ms
(exp (* -1/3 (+ (log (/ 1 b)) (log (/ 1 a)))))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
0.6b
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
0.6b
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
0.5b
(* (cbrt (+ (* i c) (fma a b (fma x y (* z t))))) (cbrt (+ (* i c) (fma a b (fma x y (* z t))))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 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 → 99
Calls
4 calls:
Slowest
59.0ms
(* (cbrt (+ (* i c) (fma a b (fma x y (* z t))))) (cbrt (+ (* i c) (fma a b (fma x y (* z t))))))
10.0ms
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
10.0ms
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
9.0ms
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
197.0ms
(* (cbrt (+ (* i c) (fma a b (fma x y (* z t))))) (cbrt (+ (* i c) (fma a b (fma x y (* z t))))))
169.0ms
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
167.0ms
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))
165.0ms
(cbrt (+ (* i c) (fma a b (fma x y (* z t)))))

simplify15.6s

Counts
83 → 111
Calls
83 calls:
Slowest
625.0ms
(* (+ (* i c) (fma a b (fma x y (* z t)))) (+ (* i c) (fma a b (fma x y (* z t)))))
525.0ms
(* (+ (* i c) (fma a b (fma x y (* z t)))) (+ (* i c) (fma a b (fma x y (* z t)))))
514.0ms
(cbrt (+ (pow (* i c) 3) (pow (fma a b (fma x y (* z t))) 3)))
502.0ms
(* (cbrt (cbrt (+ (* i c) (fma a b (fma x y (* z t)))))) (cbrt (cbrt (+ (* i c) (fma a b (fma x y (* z t)))))))
490.0ms
(cbrt (+ (pow (* i c) 3) (pow (fma a b (fma x y (* z t))) 3)))

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes791.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.4s13686×body80valid