Details

Time bar (total: 6.2s)

sample44.0ms

Algorithm
intervals
Results
18.0ms287×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
0.0b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.5b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
26.9b
(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)

rewrite7.0ms

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 15.234687407) z 31.4690115749) z 11.9400905721)
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)

series956.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)
41.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
117.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
746.0ms
(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)

simplify111.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0274590
1845530
23490520
35001517

prune454.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

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)
8.2b
(/ t (pow z 2))

rewrite29.0ms

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:
19.0ms
(+ 3.13060547623 (/ t (pow z 2)))
0.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
8.0ms
(/ t (pow z 2))

series110.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ 3.13060547623 (/ t (pow z 2)))
54.0ms
(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
27.0ms
(/ t (pow z 2))

simplify140.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0255414
1847369
24454360
35001359

prune272.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (/ (/ t z) (pow z (/ 2 2))))
0.1b
(/ (/ t z) (pow z (/ 2 2)))
3.6b
(fma y (+ 3.13060547623 (/ (/ t z) (pow z (/ 2 2)))) x)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
90×*-un-lft-identity
88×add-sqr-sqrt add-cube-cbrt
42×unpow-prod-down
16×add-exp-log
14×sqr-pow
13×associate-/l*
9×div-exp div-inv
8×add-cbrt-cube
7×associate-/r*
5×add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u fma-def log1p-expm1-u
2×pow-to-exp pow-exp
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ fma-udef associate-/l/ distribute-lft-out
Counts
3 → 159
Calls
3 calls:
44.0ms
(+ 3.13060547623 (/ (/ t z) (pow z (/ 2 2))))
15.0ms
(/ (/ t z) (pow z (/ 2 2)))
0.0ms
(fma y (+ 3.13060547623 (/ (/ t z) (pow z (/ 2 2)))) x)

series113.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ 3.13060547623 (/ (/ t z) (pow z (/ 2 2))))
24.0ms
(/ (/ t z) (pow z (/ 2 2)))
60.0ms
(fma y (+ 3.13060547623 (/ (/ t z) (pow z (/ 2 2)))) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06551109
12543970
25002964

prune364.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.2b
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.5b
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
26.9b
(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)

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 15.234687407) z 31.4690115749) z 11.9400905721)
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)

series994.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
70.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
126.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
756.0ms
(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)

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0379876
11498763
25001729

prune445.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes805.0ms

Accuracy

97.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 27.3b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06861
18561
28561

end0.0ms

sample1.0s

Algorithm
intervals
Results
571.0ms8871×body80valid