Details

Time bar (total: 7.9s)

sample118.0ms

Algorithm
intervals
Results
60.0ms119×body1280valid
22.0ms74×body640valid
11.0ms39×body320valid
10.0ms262×body80nan
2.0ms16×body160valid
0.0ms8×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.3b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ 1.0 x) (- 1.0 x))
128.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify125.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune178.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New88492
Fresh000
Picked101
Done000
Total89493

Merged error: 0.1b

Counts
93 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
4×pow1
3×associate-*l*
2×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 122
Calls
2 calls:
1.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series375.0ms

Counts
2 → 6
Calls
2 calls:
319.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
56.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify57.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0555769
12288635
25002634

prune292.0ms

Filtered
128 candidates to 81 candidates (63.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh033
Picked011
Done000
Total1275132

Merged error: 0.1b

Counts
132 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
290.0ms
(* (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
245.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
250.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
251.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04051856
116511713
250011501

prune360.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh033
Picked101
Done011
Total92698

Merged error: 0.1b

Counts
98 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
0.1b
(* (pow (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) 2/3) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
3.1b
(pow (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) 2/3)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
80×times-frac
74×associate-*r*
64×unpow-prod-down
45×add-cube-cbrt *-un-lft-identity
33×add-exp-log
28×sqr-pow
24×unpow2
23×unswap-sqr
13×prod-exp
10×associate-*l* add-cbrt-cube
9×cbrt-prod div-exp
8×pow-to-exp pow-exp
7×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow cbrt-unprod
2×pow1/3 *-commutative
1×cbrt-undiv pow-pow associate-*r/ pow-prod-down pow-prod-up div-inv
Counts
4 → 178
Calls
4 calls:
24.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(* (pow (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) 2/3) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
2.0ms
(pow (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) 2/3)

series892.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
327.0ms
(* (pow (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) 2/3) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
254.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
254.0ms
(pow (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) 2/3)

simplify110.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09782090
143771832
250021744

prune668.0ms

Filtered
190 candidates to 132 candidates (69.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1891190
Fresh044
Picked101
Done011
Total1906196

Merged error: 0.1b

Counts
196 → 6

regimes65.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s3319×body1280valid
736.0ms2566×body640valid
305.0ms8094×body80nan
216.0ms1235×body320valid
72.0ms670×body160valid
11.0ms210×body80valid

Profiling

Loading profile data...