Details

Time bar (total: 2.5s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms226×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
065619
165619

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
18×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×pow1
15×associate-*l*
14×times-frac
10×prod-exp cbrt-unprod
8×sqrt-div sqrt-prod
7×associate-*r/ pow-prod-down
6×add-log-exp
5×flip3-- flip-- unswap-sqr
4×frac-times associate-*l/
3×*-commutative difference-of-squares
2×cbrt-undiv div-exp
1×sub-neg diff-log div-inv
Counts
4 → 103
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 (* v v)))
10.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
6.0ms
(* 3.0 (* v v))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- 1.0 (* 3.0 (* v v)))
10.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
3.0ms
(* 3.0 (* v v))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049711972
149711972

prune198.0ms

Filtered
79 candidates to 115 candidates (-45.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1132115
Fresh000
Picked101
Done000
Total1142116

Merged error: 0b

Counts
116 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×add-exp-log
18×add-cbrt-cube
17×associate-*r*
14×times-frac associate-*l*
12×pow1
10×sqrt-prod
8×sqrt-div
7×log-prod associate-*r/ prod-exp cbrt-unprod
6×unpow-prod-down
4×frac-times flip3-- pow-pow pow-prod-down associate-*l/ flip-- add-log-exp difference-of-squares unswap-sqr
3×exp-prod rem-log-exp
2×cbrt-undiv pow-to-exp div-exp pow-exp *-commutative sqr-pow
1×pow-unpow log-pow div-inv distribute-lft-out--
Counts
4 → 110
Calls
4 calls:
4.0ms
(pow (exp 3.0) (* v v))
14.0ms
(* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0))
12.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0)))
3.0ms
(log (pow (exp 3.0) (* v v)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp 3.0) (* v v))
44.0ms
(* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0))
51.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0)))
30.0ms
(log (pow (exp 3.0) (* v v)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049741980
149741980

prune228.0ms

Filtered
88 candidates to 122 candidates (-38.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done000
Total1222124

Merged error: 0b

Counts
124 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
146×pow1
112×sqrt-div
83×associate-*r/
80×pow-prod-down
60×sqrt-pow1
51×frac-times
31×associate-*l/
26×flip3-- flip--
25×add-exp-log add-cbrt-cube
17×pow-prod-up
16×add-sqr-sqrt associate-*l*
12×add-cube-cbrt *-un-lft-identity pow1/2 prod-exp cbrt-unprod
11×pow-sqr
7×associate-*r* sqrt-prod
4×swap-sqr *-commutative add-log-exp
3×unswap-sqr
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt
Counts
4 → 167
Calls
4 calls:
11.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
5.0ms
(* 3.0 (* v v))
5.0ms
(* 3.0 (* v v))
25.0ms
(* (sqrt (* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))) (sqrt (* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
3.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
20.0ms
(* (sqrt (* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))) (sqrt (* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049804023
149804023

prune332.0ms

Filtered
88 candidates to 179 candidates (-103.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done011
Total1792181

Merged error: 0b

Counts
181 → 2

regimes50.0ms

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
01821
11821

end0.0ms

sample1.0s

Algorithm
intervals
Results
400.0ms8000×body80valid
397.0ms8072×body80nan

Profiling

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