Details

Time bar (total: 2.4s)

analyze5.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
226310
362010
4113810
5147010
6151010
7151010

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
6.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
10.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
5.0ms
(* 6.0 (* v v))
11.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
13.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
3.0ms
(* 6.0 (* v v))
20.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify103.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08881350
144081176
250021174

prune178.0ms

Filtered
78 candidates to 121 candidates (-55.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh000
Picked101
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
40×associate-*r/ associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
18×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube unswap-sqr
Counts
4 → 154
Calls
4 calls:
7.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
5.0ms
(* 6.0 (* v v))
11.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
14.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series91.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
57.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify55.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011522672
150022532

prune298.0ms

Filtered
99 candidates to 166 candidates (-67.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh022
Picked011
Done000
Total1663169

Merged error: 0b

Counts
169 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.1b
(pow (* v v) 3)
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (/ (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
44×add-exp-log add-cbrt-cube
39×times-frac
37×pow-prod-up
27×pow-prod-down
25×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
23×pow-sqr
19×pow-plus
18×prod-exp cbrt-unprod
14×pow2
9×cbrt-undiv div-exp associate-/r* associate-/r/
6×pow-pow
5×div-inv
4×flip3-+ associate-*l* flip-+ add-log-exp
3×pow-unpow associate-/l*
2×associate-*r* pow-exp *-commutative rem-cube-cbrt unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr clear-num sqr-pow
Counts
4 → 168
Calls
4 calls:
10.0ms
(* (* v v) (* v v))
4.0ms
(pow (* v v) 3)
5.0ms
(* 6.0 (* v v))
26.0ms
(/ 4.0 (/ (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* v v) (* v v))
4.0ms
(pow (* v v) 3)
3.0ms
(* 6.0 (* v v))
22.0ms
(/ 4.0 (/ (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))))

simplify46.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09422317
150011970

prune321.0ms

Filtered
96 candidates to 180 candidates (-87.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1800180
Fresh011
Picked011
Done011
Total1803183

Merged error: 0b

Counts
183 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (cbrt (pow (* (* 3.0 PI) (- 1.0 (* v v))) 3)) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(cbrt (pow (* (* 3.0 PI) (- 1.0 (* v v))) 3))
1.0b
(pow (* (* 3.0 PI) (- 1.0 (* v v))) 3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
19×add-cbrt-cube
15×pow1
12×associate-*r/
10×cube-div add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×cbrt-prod cbrt-div flip3-- associate-/r/ flip--
7×prod-exp cbrt-unprod
6×sqrt-div pow-prod-down
4×frac-times add-log-exp
3×pow-unpow pow-pow times-frac associate-*l* pow-exp associate-/l* rem-cube-cbrt
2×cbrt-undiv cube-mult unpow-prod-down unpow3 cube-prod div-exp associate-*l/ sqr-pow
1×pow-to-exp frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 94
Calls
4 calls:
5.0ms
(* 6.0 (* v v))
9.0ms
(/ 4.0 (* (cbrt (pow (* (* 3.0 PI) (- 1.0 (* v v))) 3)) (sqrt (- 2.0 (* 6.0 (* v v))))))
3.0ms
(cbrt (pow (* (* 3.0 PI) (- 1.0 (* v v))) 3))
7.0ms
(pow (* (* 3.0 PI) (- 1.0 (* v v))) 3)

series39.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 6.0 (* v v))
17.0ms
(/ 4.0 (* (cbrt (pow (* (* 3.0 PI) (- 1.0 (* v v))) 3)) (sqrt (- 2.0 (* 6.0 (* v v))))))
7.0ms
(cbrt (pow (* (* 3.0 PI) (- 1.0 (* v v))) 3))
11.0ms
(pow (* (* 3.0 PI) (- 1.0 (* v v))) 3)

simplify80.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0676973
13275871
25002865

prune167.0ms

Filtered
74 candidates to 106 candidates (-43.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh000
Picked011
Done022
Total1063109

Merged error: 0b

Counts
109 → 3

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

analyze9.0ms

Algorithm
search

sample559.0ms

Algorithm
intervals
Results
454.0ms8000×body80valid
0.0ms3×body80nan

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