Details

Time bar (total: 16.6s)

sample41.0ms

Algorithm
intervals
Results
20.0ms365×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1147
2247
3477
4657
done657

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (+ (* x y) z) y) t)
0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
expm1-log1p-u flip3-+ associate-*r* associate-*l* flip-+ log1p-expm1-u
+-commutative fma-def associate-*l/ sum-log
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 50
Calls
3 calls:
23.0ms
(+ (* (+ (* x y) z) y) t)
8.0ms
(+ (* x y) z)
40.0ms
(* (+ (* x y) z) y)

series189.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* (+ (* x y) z) y) t)
36.0ms
(+ (* x y) z)
58.0ms
(* (+ (* x y) z) y)

simplify2.9s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
086617
1227509
2721465
32524459
done5000459

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
6.9b
(cbrt (* (fma x y z) y))
6.9b
(cbrt (* (fma x y z) y))
6.9b
(cbrt (* (fma x y z) y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
37.0ms
(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
7.0ms
(cbrt (* (fma x y z) y))
8.0ms
(cbrt (* (fma x y z) y))
7.0ms
(cbrt (* (fma x y z) y))

series1.3s

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
217.0ms
(cbrt (* (fma x y z) y))
192.0ms
(cbrt (* (fma x y z) y))
618.0ms
(cbrt (* (fma x y z) y))

simplify2.0s

Counts
78 → 78
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01261156
13001055
2770940
32001817
done5001759

prune470.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (fma x y z))
6.9b
(cbrt (* (fma x y z) y))
6.9b
(cbrt (* (fma x y z) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (fma x y z))
10.0ms
(cbrt (* (fma x y z) y))
4.0ms
(cbrt (* (fma x y z) y))

series865.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt y)
184.0ms
(cbrt (fma x y z))
176.0ms
(cbrt (* (fma x y z) y))
220.0ms
(cbrt (* (fma x y z) y))

simplify3.3s

Counts
60 → 60
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0110577
1237559
2548508
31354469
43589442
done5001436

prune417.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (fma x y z))
0.6b
(cbrt (fma x y z))
6.9b
(cbrt (* (fma x y z) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (fma x y z))
1.0ms
(cbrt (fma x y z))
6.0ms
(cbrt (* (fma x y z) y))

series820.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt y)
160.0ms
(cbrt (fma x y z))
180.0ms
(cbrt (fma x y z))
217.0ms
(cbrt (* (fma x y z) y))

simplify3.5s

Counts
62 → 62
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0110549
1237529
2548484
31354454
43589430
done5001424

prune354.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes6.0ms