Details

Time bar (total: 16.8s)

sample82.0ms

Algorithm
intervals
Results
48.0ms279×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
03037
16230
213230
337629
4105329
5317429
done500129

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma z 3.13060547623 11.1667541262) z t) z a)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
3.8b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.5b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (fma (fma z 3.13060547623 11.1667541262) z t) z a)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
5.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma (fma (fma z 3.13060547623 11.1667541262) z t) z a)
43.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
190.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.1s
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01451459
12731441
26331279
316911266
done50011258

prune764.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ t (pow z 2)))
3.6b
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
8.9b
(/ t (pow z 2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down
8×add-exp-log associate-/r*
5×add-cbrt-cube add-log-exp
4×unpow2 sqr-pow
3×pow1 expm1-log1p-u fma-def div-exp log1p-expm1-u associate-/l*
1×cbrt-undiv +-commutative pow-to-exp frac-2neg flip3-+ pow-exp clear-num sum-log flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 78
Calls
3 calls:
36.0ms
(+ 3.13060547623 (/ t (pow z 2)))
1.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
16.0ms
(/ t (pow z 2))

series145.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ 3.13060547623 (/ t (pow z 2)))
86.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
28.0ms
(/ t (pow z 2))

simplify1.5s

Counts
87 → 87
Iterations

Useful iterations: 2 (190.0ms)

IterNodesCost
0133915
1255848
2595738
31907738
done5000738

prune375.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
16.6b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
16.6b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.5b
(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
217.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
221.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
680.0ms
(fma (* (/ 1 (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (/ y (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.7s

Counts
61 → 61
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0921808
11891775
24721544
315301202
done50001200

prune706.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
9.8b
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
9.8b
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.5b
(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log associate-/r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 81
Calls
4 calls:
12.0ms
(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
3.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
3.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
268.0ms
(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
157.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
137.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
690.0ms
(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01592394
13172226
27822039
322771852
done50001848

prune786.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes10.0ms