Details

Time bar (total: 5.4s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms191×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

localize14.0ms

Local error

Found 3 expressions with local error:

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))))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
17×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
9×add-sqr-sqrt pow-prod-down
8×frac-times add-cube-cbrt *-un-lft-identity associate-/r/
7×associate-*r*
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u times-frac sqrt-prod log1p-expm1-u associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 90
Calls
3 calls:
31.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms
(* 6.0 (* v v))
30.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series717.0ms

Counts
3 → 9
Calls
3 calls:
272.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
24.0ms
(* 6.0 (* v v))
420.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify104.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08511219
140311069
250011066

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.1b
(* 6.0 (* v v))
1.0b
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
52×add-cbrt-cube
50×prod-exp
46×add-sqr-sqrt
44×times-frac
37×add-cube-cbrt *-un-lft-identity
29×div-exp
25×associate-*r*
22×sqrt-prod
20×cbrt-unprod
17×pow1
14×cbrt-undiv
12×associate-*l*
9×rec-exp 1-exp
8×associate-/r/
7×pow-prod-down associate-/r*
6×associate-/l*
5×associate-*r/
4×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ inv-pow
Counts
4 → 179
Calls
4 calls:
15.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
7.0ms
(* 6.0 (* v v))
70.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series728.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
31.0ms
(* 6.0 (* v v))
429.0ms
(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
167.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010902055
150011762

prune390.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* v v) 3)
0.2b
(* (* v v) (* v v))
1.0b
(* (* (/ 1 (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite639.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
120×add-exp-log
69×prod-exp
66×add-cbrt-cube
37×pow-prod-up
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity cbrt-unprod
27×pow-prod-down
25×associate-*r*
24×div-exp
23×pow-sqr
21×sqrt-prod
19×pow-plus
14×pow2
12×cbrt-undiv
9×frac-times
7×associate-*l/
6×rec-exp pow-pow 1-exp associate-/r*
5×associate-*r/
4×expm1-log1p-u flip3-+ sqrt-div associate-/r/ flip-+ log1p-expm1-u add-log-exp
3×pow-unpow associate-/l*
2×flip3-- associate-*l* pow-exp *-commutative flip-- div-inv rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr clear-num unswap-sqr sqr-pow
Counts
4 → 216
Calls
4 calls:
3.0ms
(pow (* v v) 3)
14.0ms
(* (* v v) (* v v))
607.0ms
(* (* (/ 1 (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
5.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(pow (* v v) 3)
37.0ms
(* (* v v) (* v v))
455.0ms
(* (* (/ 1 (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
168.0ms
(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012772924
150022388

prune609.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
02411
12411

end0.0ms

sample792.0ms

Algorithm
intervals
Results
321.0ms8000×body80valid
287.0ms7999×body80nan