Details

Time bar (total: 5.3s)

sample44.0ms

Algorithm
intervals
Results
21.0ms374×body80valid

simplify166.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (164.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.3b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
5.5b
(/ (* t a) c)
10.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
5.0ms
(/ (* t a) c)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series367.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
22.0ms
(/ (* t a) c)
72.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0284424
11137356
25001355

prune330.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New69978
Fresh101
Picked101
Done000
Total71980

Merged error: 4.7b

Counts
80 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
5.1b
(* t (/ a c))
10.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(* t (/ a c))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series362.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
40.0ms
(fma x (* 9.0 y) b)
23.0ms
(* t (/ a c))
66.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0339472
11368404
25001403

prune356.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh448
Picked101
Done000
Total89998

Merged error: 4.7b

Counts
98 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.4b
(/ b (* z c))
5.1b
(* t (/ a c))
9.8b
(/ (* x y) (* z c))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
7×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/r* unswap-sqr
1×associate-*r/ pow-prod-down *-commutative fma-udef
Counts
4 → 90
Calls
4 calls:
1.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
5.0ms
(/ b (* z c))
7.0ms
(* t (/ a c))
6.0ms
(/ (* x y) (* z c))

series185.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
24.0ms
(/ b (* z c))
29.0ms
(* t (/ a c))
35.0ms
(/ (* x y) (* z c))

simplify65.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0403469
11997391
25001391

prune381.0ms

Filtered
102 candidates to 69 candidates (67.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1002102
Fresh268
Picked101
Done000
Total1038111

Merged error: 0.5b

Counts
111 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* z c) y)
4.4b
(/ b (* z c))
4.5b
(/ x (/ (* z c) y))
5.1b
(* t (/ a c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
37×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
13×associate-*r*
11×associate-/r*
10×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×associate-*r/ pow-prod-down associate-/r/ *-commutative
Counts
4 → 130
Calls
4 calls:
5.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))
7.0ms
(* t (/ a c))

series111.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* z c) y)
22.0ms
(/ b (* z c))
37.0ms
(/ x (/ (* z c) y))
30.0ms
(* t (/ a c))

simplify68.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0520642
12451568
25001568

prune555.0ms

Filtered
142 candidates to 105 candidates (73.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1393142
Fresh257
Picked101
Done000
Total1428150

Merged error: 0.0b

Counts
150 → 8

regimes464.0ms

Accuracy

12.5% (9.9b remaining)

Error of 10.1b against oracle of 0.2b and baseline of 11.5b

bsearch409.0ms

Steps
ItersRangePoint
10
6.133526565209015e+83
2.5457713080429357e+95
1.5200214663546445e+84
11
4.068722024598969e-274
2.5202231477613e-253
7.366828108437944e-270
7
-5.740342259936316e-225
-3.5703509705942623e-227
-3.0898772136286032e-226
8
-2.070087000457883e+72
-1.0570270208943195e+69
-2.6499423259674487e+71

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05850
15850

end0.0ms

sample1.2s

Algorithm
intervals
Results
659.0ms12676×body80valid