Details

Time bar (total: 27.8s)

sample114.0ms

Algorithm
intervals
Results
71.0ms441×body80valid

simplify181.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
181.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

prune28.0ms

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

series511.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
347.0ms
(fma i c (fma a b (fma x y (* z t))))
89.0ms
(fma a b (fma x y (* z t)))
75.0ms
(fma x y (* z t))

simplify157.0ms

Counts
9 → 42
Calls
9 calls:
Slowest
39.0ms
(+ (* a b) (+ (* t z) (* x y)))
39.0ms
(+ (* a b) (+ (* t z) (* x y)))
30.0ms
(+ (* a b) (+ (* t z) (* x y)))
26.0ms
(+ (* a b) (+ (* t z) (* x y)))
8.0ms
(+ (* t z) (* x y))

prune676.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma a b (fma x y (* z t))))
0.6b
(cbrt (fma a b (fma x y (* z t))))
0.6b
(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)))))

rewrite17.0ms

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
13.0ms
(* (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))))

series753.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
227.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
186.0ms
(cbrt (fma a b (fma x y (* z t))))
176.0ms
(cbrt (fma a b (fma x y (* z t))))
163.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify6.6s

Counts
65 → 97
Calls
65 calls:
Slowest
681.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
631.0ms
(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
337.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
333.0ms
(exp (* -1/3 (+ (log (/ 1 b)) (log (/ 1 a)))))
331.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma a b (fma x y (* z t))))
0.6b
(cbrt (fma a b (fma x y (* z t))))
0.6b
(cbrt (fma a b (fma x y (* z t))))
0.6b
(cbrt (fma a b (fma x y (* z t))))

rewrite6.0ms

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:
Slowest
2.0ms
(cbrt (fma a b (fma x y (* z t))))
2.0ms
(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))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(cbrt (fma a b (fma x y (* z t))))
188.0ms
(cbrt (fma a b (fma x y (* z t))))
175.0ms
(cbrt (fma a b (fma x y (* z t))))
161.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify3.6s

Counts
24 → 68
Calls
24 calls:
Slowest
362.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
345.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
336.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
312.0ms
(exp (* -1/3 (+ (log (/ -1 a)) (log (/ -1 b)))))
264.0ms
(exp (* -1/3 (+ (log (/ 1 b)) (log (/ 1 a)))))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

34.0b
(cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
0.3b
(* (fma x y (* z t)) (fma x y (* z t)))
0.2b
(* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t)))
0.0b
(fma i c (fma a b (cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 87
Calls
4 calls:
Slowest
19.0ms
(* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t)))
16.0ms
(cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
6.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
0.0ms
(fma i c (fma a b (cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))))

series740.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
384.0ms
(fma i c (fma a b (cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))))
197.0ms
(* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t)))
105.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
55.0ms
(cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))

simplify5.0s

Counts
63 → 99
Calls
63 calls:
Slowest
597.0ms
(+ (* (pow t 2) (pow z 2)) (+ (* 2 (* t (* x (* z y)))) (* (pow x 2) (pow y 2))))
482.0ms
(* (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))) (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
338.0ms
(+ (* 3 (* (pow t 2) (* x (* (pow z 2) y)))) (+ (* (pow t 3) (pow z 3)) (* 3 (* t (* (pow x 2) (* z (pow y 2)))))))
301.0ms
(cbrt (* (fma x y (* z t)) (fma x y (* z t))))
299.0ms
(* (* z t) (* (fma x y (* z t)) (fma x y (* z t))))

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes712.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.9s13656×body80valid