Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
7.0ms136×body80nan

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(* 3.0 (* v v))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
9.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify89.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08131605
136491515
250011512

prune256.0ms

Filtered
99 candidates to 140 candidates (-41.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh000
Picked101
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.2b
(* 3.0 (* v v))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
21×add-cube-cbrt *-un-lft-identity
20×add-exp-log
17×pow1 sqrt-prod
14×add-cbrt-cube
12×sqrt-div
10×log-div
7×associate-*r* prod-exp unswap-sqr
6×frac-times flip3-- associate-*r/ pow-prod-down flip--
5×exp-prod exp-diff cbrt-unprod
4×log-pow add-log-exp
3×rem-log-exp associate-*l/
2×log-prod div-exp *-commutative
1×cbrt-undiv exp-sum div-inv rem-exp-log
Counts
4 → 108
Calls
4 calls:
8.0ms
(log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
8.0ms
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
5.0ms
(* 3.0 (* v v))

series40.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
10.0ms
(exp (log (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* 3.0 (* v v))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05851186
122951121
250011118

prune243.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done000
Total1202122

Merged error: 0b

Counts
122 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
1.0b
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
528×sqrt-div
266×frac-times
132×flip3-- flip--
118×associate-*r/
103×associate-*l/
87×pow1
54×pow-prod-down
44×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
16×sqrt-pow1 pow1/2
11×add-sqr-sqrt
8×associate-*l* pow-prod-up
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-sqr
5×sqrt-unprod
4×*-commutative add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in pow-plus
1×pow2 swap-sqr rem-square-sqrt difference-of-squares
Counts
4 → 257
Calls
4 calls:
33.0ms
(* (* (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
5.0ms
(* 3.0 (* v v))
5.0ms
(* 3.0 (* v v))
26.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 3.0 (* v v))
14.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016666515
150015872

prune1.0s

Filtered
156 candidates to 269 candidates (-72.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2690269
Fresh000
Picked011
Done011
Total2692271

Merged error: 0b

Counts
271 → 2

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample821.0ms

Algorithm
intervals
Results
410.0ms8000×body80valid
209.0ms4122×body80nan

Profiling

Loading profile data...