Details

Time bar (total: 14.7s)

sample43.0ms

Algorithm
intervals
Results
17.0ms275×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
03037
16230
213230
337629
4105329
5317429
done500129

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
2.1b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.5b
(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 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
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)

series963.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
31.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
118.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
757.0ms
(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)

simplify818.0ms

Counts
71 → 71
Iterations

Useful iterations: done (816.0ms)

IterNodesCost
01391485
12671466
26211301
316721295
done50001282

prune435.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

16.4b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
16.4b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
16.4b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
25.5b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (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 z 3.13060547623 11.1667541262) z t))
1.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
1.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
0.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
191.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
187.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
741.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

simplify1.4s

Counts
61 → 61
Iterations

Useful iterations: 4 (566.0ms)

IterNodesCost
0921484
11841457
23951135
3981980
43052948
done5000948

prune416.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.3b
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
2.1b
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
25.5b
(fma (* y (/ 1 (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)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
5.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
0.0ms
(fma (* y (/ 1 (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)

series987.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
78.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
121.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
757.0ms
(fma (* y (/ 1 (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)

simplify953.0ms

Counts
103 → 103
Iterations

Useful iterations: done (949.0ms)

IterNodesCost
01732172
13582001
27831752
319511745
done50001738

prune635.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

16.1b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
16.1b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
16.1b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.5b
(fma (* (/ y (* (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)))) (/ (cbrt 1) (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 (* (/ y (* (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)))) (/ (cbrt 1) (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)

series1.2s

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
145.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
143.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
734.0ms
(fma (* (/ y (* (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)))) (/ (cbrt 1) (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)

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0921821
11891775
24731544
314911202
done50011200

prune404.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes801.0ms

Accuracy

96.5% (1.0b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 27.6b

bsearch205.0ms

Steps
ItersRangePoint
9
2.4499807491119712e+31
1.7797459295467202e+36
7.812759377736357e+34
6
-3.168465518716738e+17
-3.022518570438349e+16
-3.091421371434833e+17

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03676
14267
done4267

end0.0ms

sample1.0s

Algorithm
intervals
Results
583.0ms8860×body80valid