Details

Time bar (total: 6.4s)

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
7.0ms228×body80nan

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune3.0ms

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: 0.0b

Counts
2 → 1

localize14.0ms

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)))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.1b
(* 3.0 (* v v))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×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
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms
(* (/ (sqrt 2.0) 4.0) (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)))
6.0ms
(* 3.0 (* v v))

series620.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
207.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
306.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))

simplify104.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08711794
139921686
250021684

prune359.0ms

Filtered
154 candidates to 111 candidates (72.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1504154
Fresh000
Picked101
Done000
Total1514155

Merged error: 0b

Counts
155 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.1b
(* 3.0 (* v v))
2.5b
(log (exp (* 3.0 (* v v))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
27×*-un-lft-identity
26×associate-*l*
24×add-cube-cbrt
23×add-exp-log add-cbrt-cube
22×times-frac
20×sqrt-prod
18×pow1 frac-times
16×sqrt-div
14×flip3-- associate-*r* flip--
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in add-log-exp
4×expm1-log1p-u log-pow log1p-expm1-u
3×log-prod *-commutative
2×cbrt-undiv sub-neg div-exp distribute-lft-out-- difference-of-squares
1×exp-prod exp-to-pow rem-log-exp div-inv
Counts
4 → 144
Calls
4 calls:
13.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
18.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))
2.0ms
(log (exp (* 3.0 (* v v))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v)))))))
310.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (exp (* 3.0 (* v v))))))) (- 1.0 (* v v)))
31.0ms
(* 3.0 (* v v))
25.0ms
(log (exp (* 3.0 (* v v))))

simplify98.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08402038
138271911
250011904

prune383.0ms

Filtered
156 candidates to 107 candidates (68.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done000
Total1564160

Merged error: 0b

Counts
160 → 4

localize13.0ms

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))))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
84×frac-times
57×flip3-- flip--
42×add-sqr-sqrt associate-*l/
28×add-exp-log associate-*r/ add-cbrt-cube
26×associate-*l*
24×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
22×times-frac
21×pow1
14×associate-*r* prod-exp cbrt-unprod
10×pow-prod-down
7×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 174
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
19.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series624.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
317.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v))))
200.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify114.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
010462954
141592692
250012690

prune483.0ms

Filtered
186 candidates to 128 candidates (68.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1860186
Fresh022
Picked011
Done011
Total1864190

Merged error: 0b

Counts
190 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
0.1b
(* 3.0 (* v v))
1.0b
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-times
36×flip3-- sqrt-div flip--
34×cube-div
28×add-exp-log add-cbrt-cube
24×associate-*r/ associate-*l/
20×pow1
17×cbrt-div
13×prod-exp cbrt-unprod
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×cbrt-prod
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u associate-*l* pow-exp log1p-expm1-u add-log-exp rem-cube-cbrt
3×pow-unpow pow-pow
2×cbrt-undiv cube-mult sub-neg unpow-prod-down unpow3 cube-prod div-exp *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube difference-of-squares unswap-sqr
Counts
4 → 153
Calls
4 calls:
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
6.0ms
(* 3.0 (* v v))
14.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series1.4s

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
267.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
24.0ms
(* 3.0 (* v v))
808.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify61.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012002664
150022532

prune471.0ms

Filtered
165 candidates to 124 candidates (75.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done022
Total1654169

Merged error: 0b

Counts
169 → 4

regimes72.0ms

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

sample711.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid
259.0ms7857×body80nan