Details

Time bar (total: 6.0s)

sample107.0ms

Algorithm
intervals
Results
49.0ms102×body2560valid
22.0ms75×body1280valid
10.0ms45×body640valid
9.0ms249×body80nan
2.0ms17×body320valid
1.0ms11×body160valid
0.0ms6×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017

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: 0.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
8×pow1
4×associate-/r* difference-of-squares
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
8.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0349623
11288567
25001565

prune185.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New76278
Fresh000
Picked101
Done000
Total77279

Merged error: 0.4b

Counts
79 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
0.0b
(/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4)))
0.1b
(* 5.0 (* v v))
0.4b
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
16×add-exp-log associate-*l* add-cbrt-cube
11×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times flip3-+ associate-*r/ div-exp *-commutative flip-+ div-inv associate-/l/
1×distribute-rgt-in acos-asin flip3-- frac-2neg distribute-lft-in div-sub associate-*l/ clear-num flip--
Counts
4 → 103
Calls
4 calls:
11.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
6.0ms
(/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4)))
6.0ms
(* 5.0 (* v v))
2.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
84.0ms
(/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4)))
24.0ms
(* 5.0 (* v v))
12.0ms
(acos (* (/ (- 1.0 (* 5.0 (* v v))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06081223
127331091
250011088

prune371.0ms

Filtered
115 candidates to 90 candidates (78.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh011
Picked011
Done000
Total1143117

Merged error: 0.4b

Counts
117 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite12.0ms

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:
6.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series753.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
134.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
131.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
136.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
01221368
14221202
227161134
350011121

prune229.0ms

Filtered
93 candidates to 64 candidates (68.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New90393
Fresh011
Picked101
Done011
Total91596

Merged error: 0.4b

Counts
96 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
37×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
11.0ms
(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

series550.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
128.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
132.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
157.0ms
(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

simplify79.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
01471926
14581779
220941611
350011573

prune332.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh213
Picked101
Done011
Total1075112

Merged error: 0.4b

Counts
112 → 5

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711
11711

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s3066×body2560valid
556.0ms2454×body1280valid
237.0ms8149×body80nan
200.0ms1226×body640valid
74.0ms609×body320valid
35.0ms423×body160valid
11.0ms222×body80valid