Details

Time bar (total: 10.0m)

sample52.0ms

Algorithm
intervals
Results
23.0ms476×body80valid

simplify100.0ms

Counts
1 → 1
Iterations
IterNodes
done139
5139
4137
3110
260
127
015

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

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 log1p-expm1-u add-log-exp
Counts
3 → 30
Calls
3 calls:
0.0ms
(fma x y (fma c i (* a b)))
0.0ms
(fma z t (fma x y (fma c i (* a b))))
0.0ms
(fma c i (* a b))

series451.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(fma x y (fma c i (* a b)))
295.0ms
(fma z t (fma x y (fma c i (* a b))))
45.0ms
(fma c i (* a b))

simplify2.1s

Counts
39 → 39
Iterations
IterNodes
done5000
43538
3518
2124
163
047

prune347.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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 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 → 81
Calls
4 calls:
1.0ms
(cbrt (fma z t (fma x y (fma c i (* a b)))))
1.0ms
(cbrt (fma z t (fma x y (fma c i (* a b)))))
1.0ms
(cbrt (fma z t (fma x y (fma c i (* a b)))))
11.0ms
(* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b))))))

series841.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (fma z t (fma x y (fma c i (* a b)))))
173.0ms
(cbrt (fma z t (fma x y (fma c i (* a b)))))
215.0ms
(cbrt (fma z t (fma x y (fma c i (* a b)))))
284.0ms
(* (cbrt (fma z t (fma x y (fma c i (* a b))))) (cbrt (fma z t (fma x y (fma c i (* a b))))))

simplify2.8s

Counts
93 → 93
Iterations
IterNodes
done5000
44343
31222
2508
1221
095

prune951.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma c i (* a b))
0.1b
(* (* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b))))) (fma z t (fma x y (fma c i (* a b)))))
0.2b
(* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b)))))
41.7b
(cbrt (* (* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b))))) (fma z t (fma x y (fma c i (* a b))))))

rewrite57.0ms

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 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 → 83
Calls
4 calls:
0.0ms
(fma c i (* a b))
23.0ms
(* (* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b))))) (fma z t (fma x y (fma c i (* a b)))))
11.0ms
(* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b)))))
21.0ms
(cbrt (* (* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b))))) (fma z t (fma x y (fma c i (* a b))))))

series9.9m

Calls
2 calls:
2.1m
(* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b)))))
340.0ms
(cbrt (* (* (fma z t (fma x y (fma c i (* a b)))) (fma z t (fma x y (fma c i (* a b))))) (fma z t (fma x y (fma c i (* a b))))))