Details

Time bar (total: 5.5s)

sample95.0ms

Algorithm
intervals
Results
40.0ms95×body2560valid
20.0ms77×body1280valid
10.0ms265×body80nan
8.0ms43×body640valid
3.0ms20×body320valid
2.0ms14×body160valid
0.0ms7×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1427
2777
31467
42427
54177
627897
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: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* 5.0 (* v v)))
0.1b
(* 5.0 (* v v))
0.2b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-log-exp
4×add-cube-cbrt *-un-lft-identity
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin sub-neg flip3-- diff-log associate-*r* *-commutative flip-- unswap-sqr
Counts
3 → 39
Calls
3 calls:
3.0ms
(- 1.0 (* 5.0 (* v v)))
5.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series86.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- 1.0 (* 5.0 (* v v)))
24.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0167261
1516228
21812228
35002228

prune69.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349

Merged error: 0.2b

Counts
49 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 acos-asin pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 83
Calls
4 calls:
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
6.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
16.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
21.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
01251002
1427888
22342844
35002813

prune123.0ms

Filtered
95 candidates to 48 candidates (50.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh101
Picked101
Done011
Total96298

Merged error: 0.2b

Counts
98 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5) (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
28×cbrt-prod
20×sqrt-prod
18×unpow-prod-down
15×unswap-sqr
13×add-cube-cbrt *-un-lft-identity associate-*l*
9×add-exp-log associate-*r*
7×pow1
5×add-cbrt-cube
4×add-log-exp sqr-pow
3×prod-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×acos-asin pow-to-exp pow-plus pow-exp *-commutative pow-prod-up cbrt-unprod
Counts
4 → 85
Calls
4 calls:
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
9.0ms
(* (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5) (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
21.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
16.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms
(* (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5) (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
01861664
15771554
227231434
350011400

prune224.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New95297
Fresh000
Picked101
Done011
Total96399

Merged error: 0.2b

Counts
99 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
1.0b
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
1.0b
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
1.0b
(* (cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5)) (cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
225×cbrt-prod
103×unpow-prod-down
100×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity unswap-sqr
35×sqrt-prod
19×sqr-pow
18×swap-sqr
16×associate-*r* associate-*l*
11×pow1
9×pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 167
Calls
4 calls:
3.0ms
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
4.0ms
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
4.0ms
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
19.0ms
(* (cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5)) (cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
254.0ms
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
208.0ms
(cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5))
204.0ms
(* (cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5)) (cbrt (pow (cbrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 5)))

simplify131.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
02395033
17044864
232514623
350014610

prune463.0ms

Filtered
179 candidates to 104 candidates (58.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1772179
Fresh011
Picked101
Done011
Total1784182

Merged error: 0.2b

Counts
182 → 4

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s2914×body2560valid
682.0ms2511×body1280valid
295.0ms8014×body80nan
251.0ms1265×body640valid
92.0ms644×body320valid
43.0ms430×body160valid
14.0ms236×body80valid