Details

Time bar (total: 8.4s)

sample45.0ms

Algorithm
intervals
Results
23.0ms287×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
1.7b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
21.9b
(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)

rewrite6.0ms

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:
1.0ms
(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
3.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(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)

series981.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
30.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
114.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
741.0ms
(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)

simplify119.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0269578
1828514
23590508
35001504

prune417.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
0.2b
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.9b
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
21.9b
(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)

rewrite14.0ms

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:
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
3.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
7.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
1.0ms
(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)

series989.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
80.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
124.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
755.0ms
(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)

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0363864
11442747
25002715

prune465.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
5.9b
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
5.9b
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
21.9b
(fma (* (/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (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)

rewrite10.0ms

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:
4.0ms
(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
2.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
2.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(fma (* (/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (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)

series1.2s

Counts
4 → 12
Calls
4 calls:
187.0ms
(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
110.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
108.0ms
(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
772.0ms
(fma (* (/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (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)

simplify133.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0316998
11008909
24420886
35001883

prune531.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) z)
1.7b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.7b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
24.2b
(* (* (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) z) (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
22×add-exp-log add-cbrt-cube
14×associate-*l*
11×pow1
7×prod-exp cbrt-unprod
6×associate-*r* associate-/r* associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down log1p-expm1-u add-log-exp
3×associate-*l/ div-inv
2×frac-2neg clear-num *-commutative fma-udef unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) z)
3.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
3.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
7.0ms
(* (* (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) z) (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a))

series658.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) z)
114.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
119.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
293.0ms
(* (* (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) z) (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a))

simplify73.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04591295
121041126
250021113

prune662.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes805.0ms

Accuracy

95.8% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 26.3b

bsearch162.0ms

Steps
ItersRangePoint
9
1.3688942334051517e+29
5.570424297767728e+35
9.529534473218501e+30
2
-2.319338119088684e+59
-1.9710212454209794e+59
-2.078108004357145e+59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04315
14315

end0.0ms

sample916.0ms

Algorithm
intervals
Results
603.0ms8852×body80valid