Details

Time bar (total: 7.7s)

sample33.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms234×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
73.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
16.0ms
(* 6.0 (* v v))
65.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series801.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
105.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
25.0ms
(* 6.0 (* v v))
401.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09551468
146961282
250011281

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b
(* 6.0 (* v v))
1.0b
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
82×times-frac
80×add-sqr-sqrt
64×add-cube-cbrt *-un-lft-identity
48×add-exp-log add-cbrt-cube
47×associate-*r*
20×prod-exp cbrt-unprod
16×pow1 associate-*l*
11×cbrt-undiv div-exp
7×pow-prod-down
6×prod-diff associate-/r* associate-/r/ associate-/l* unswap-sqr
5×distribute-rgt-in distribute-lft-in associate-*r/
4×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u add-log-exp
3×*-commutative div-inv
2×sub-neg
1×frac-times sqrt-undiv frac-2neg associate-*l/ clear-num difference-of-squares
Counts
4 → 208
Calls
4 calls:
27.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
16.0ms
(* 6.0 (* v v))
11.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
107.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
31.0ms
(* 6.0 (* v v))
206.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
594.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify50.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011702781
150012456

prune551.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 4.0) (* 3.0 (* PI (- 1.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b
(* (/ (sqrt 4.0) (* 3.0 (* PI (- 1.0 (* v v))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-prod
88×times-frac
80×add-sqr-sqrt
65×add-cube-cbrt *-un-lft-identity
52×add-exp-log add-cbrt-cube
43×associate-*r*
20×prod-exp cbrt-unprod
15×associate-*l*
14×cbrt-undiv div-exp
12×associate-/l*
11×pow1
9×associate-*r/
8×associate-/r/
7×associate-/r*
6×unswap-sqr
4×expm1-log1p-u flip3-- sqrt-div pow-prod-down flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 208
Calls
4 calls:
24.0ms
(/ (sqrt 4.0) (* 3.0 (* PI (- 1.0 (* v v)))))
16.0ms
(* 6.0 (* v v))
11.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
117.0ms
(* (/ (sqrt 4.0) (* 3.0 (* PI (- 1.0 (* v v))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series991.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ (sqrt 4.0) (* 3.0 (* PI (- 1.0 (* v v)))))
31.0ms
(* 6.0 (* v v))
205.0ms
(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
592.0ms
(* (/ (sqrt 4.0) (* 3.0 (* PI (- 1.0 (* v v))))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011672874
150022542

prune574.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
1.0b
(/ 1 (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
1.0b
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ 1 (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (sqrt 4.0) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
359×add-exp-log
194×prod-exp
147×add-cbrt-cube
109×div-exp
88×cbrt-unprod
51×cbrt-undiv
27×pow1
18×rec-exp 1-exp associate-*l*
13×add-sqr-sqrt
12×cbrt-div sqrt-div
11×add-cube-cbrt *-un-lft-identity pow-prod-down
10×associate-/r/
9×frac-times pow-flip times-frac associate-*r/
7×flip3-- flip--
6×pow1/3
5×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* sqrt-prod *-commutative associate-/l*
2×pow-sqr pow-prod-up div-inv unswap-sqr
1×pow2 frac-2neg pow-plus clear-num associate-/r* inv-pow
Counts
4 → 207
Calls
4 calls:
15.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
30.0ms
(/ 1 (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
327.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ 1 (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (sqrt 4.0) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))))

series912.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
32.0ms
(* 6.0 (* v v))
263.0ms
(/ 1 (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v)))))))
591.0ms
(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (/ 1 (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (sqrt 4.0) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014785055
150023789

prune483.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
02213
12213

end0.0ms

sample793.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid
260.0ms7921×body80nan