Details

Time bar (total: 15.6s)

sample72.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
24.0ms288×body80nan

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325620
458120
5104120
6122020
done122020

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite249.0ms

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×times-frac sqrt-prod associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
124.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
21.0ms
(* 6.0 (* v v))
97.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts
3 → 9
Calls
3 calls:
404.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
27.0ms
(* 6.0 (* v v))
575.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 2 (648.0ms)

IterNodesCost
02862451
18002240
233181927
done50001927

prune368.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
26.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
22.0ms
(* 6.0 (* v v))
47.0ms
(* 6.0 (* v v))

series143.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 6.0 (* v v))
29.0ms
(* 6.0 (* v v))
39.0ms
(* 6.0 (* v v))
33.0ms
(* 6.0 (* v v))

simplify3.9s

Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
034648
178636
2209516
3468516
4677516
51860516
done5001516

prune879.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4))))
0.1b
(* (* 6.0 6.0) (pow v 4))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
75×times-frac
68×add-cbrt-cube
64×associate-*l*
43×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
36×prod-exp
30×cbrt-unprod
27×sqrt-prod
26×associate-*r/
17×cbrt-undiv div-exp
16×frac-times associate-/r/
14×pow1 sqrt-div
12×flip3-+ flip-+
9×associate-*r*
8×flip3-- flip-- div-inv
6×pow-prod-down
5×associate-*l/
4×unpow-prod-down add-log-exp unswap-sqr
3×*-commutative associate-/l*
2×pow-to-exp pow-exp sqr-pow
1×frac-2neg clear-num associate-/r*
Counts
4 → 179
Calls
4 calls:
30.0ms
(/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4))))
30.0ms
(* (* 6.0 6.0) (pow v 4))
24.0ms
(* 6.0 (* v v))
306.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
232.0ms
(/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4))))
82.0ms
(* (* 6.0 6.0) (pow v 4))
40.0ms
(* 6.0 (* v v))
727.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify857.0ms

Counts
191 → 191
Iterations

Useful iterations: done (849.0ms)

IterNodesCost
04586928
113656463
done50005599

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03157
14057
done4057

end0.0ms

sample2.0s

Algorithm
intervals
Results
971.0ms8000×body80valid
736.0ms8051×body80nan