Details

Time bar (total: 4.8s)

sample41.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
14.0ms300×body80nan

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

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: 0.0b

Counts
2 → 1

localize10.0ms

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))

rewrite36.0ms

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)))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series598.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
298.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
192.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms
(* 3.0 (* v v))

simplify93.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08131605
136491515
250011512

prune311.0ms

Filtered
140 candidates to 99 candidates (70.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh000
Picked011
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
18×frac-times
17×pow1 sqrt-prod
16×sqrt-div
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×log-prod pow-prod-down unswap-sqr
5×add-log-exp
4×distribute-rgt-in sub-neg distribute-lft-in exp-sum
3×log-pow *-commutative
2×cbrt-undiv div-exp
1×exp-prod exp-to-pow rem-log-exp div-inv difference-of-squares
Counts
4 → 131
Calls
4 calls:
3.0ms
(log (exp (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series855.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(log (exp (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
312.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
200.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms
(* 3.0 (* v v))

simplify93.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07961841
135201727
250011725

prune359.0ms

Filtered
143 candidates to 99 candidates (69.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done011
Total1433146

Merged error: 0b

Counts
146 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
31×associate-*l*
23×add-cube-cbrt *-un-lft-identity
22×times-frac
17×sqrt-prod
16×add-exp-log add-cbrt-cube
15×pow1
11×associate-*r*
8×unswap-sqr
6×prod-exp log-pow cbrt-unprod add-log-exp
5×pow-prod-down
4×sqrt-div associate-*r/
3×log-prod flip3-- *-commutative flip--
2×distribute-rgt-in frac-times sub-neg exp-prod exp-to-pow distribute-lft-in
1×cbrt-undiv div-exp rem-log-exp associate-*l/ div-inv difference-of-squares
Counts
4 → 113
Calls
4 calls:
7.0ms
(* (log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
16.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
2.0ms
(log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms
(* 3.0 (* v v))

series760.0ms

Counts
4 → 12
Calls
4 calls:
313.0ms
(* (log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
223.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
199.0ms
(log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
25.0ms
(* 3.0 (* v v))

simplify70.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06031382
124581268
250031266

prune457.0ms

Filtered
125 candidates to 88 candidates (70.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done022
Total1253128

Merged error: 0b

Counts
128 → 3

regimes46.0ms

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

sample955.0ms

Algorithm
intervals
Results
384.0ms8226×body80nan
381.0ms8000×body80valid

Profiling

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