Details

Time bar (total: 8.2s)

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms230×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
284614
3397414
4500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
52.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
17.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series787.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
558.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
185.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07751210
143561050
250011050

prune338.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.4b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 104
Calls
4 calls:
8.0ms
(* 5.0 (* v v))
26.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
94.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series945.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
196.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
147.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
576.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify104.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08001361
142751195
250021195

prune360.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ 1.0 (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
5.9b
(/ (* 5.0 (* v v)) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log add-cbrt-cube
48×associate-*r/
38×prod-exp cbrt-unprod
16×cbrt-undiv sqrt-div div-exp associate-/r/
14×add-sqr-sqrt flip3-- flip--
10×add-cube-cbrt *-un-lft-identity
8×pow1 frac-times associate-*r*
6×associate-*l*
4×expm1-log1p-u times-frac associate-*l/ log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg pow-prod-down clear-num associate-/r* sqrt-prod *-commutative div-inv unswap-sqr
Counts
4 → 128
Calls
4 calls:
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
89.0ms
(/ 1.0 (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
96.0ms
(/ (* 5.0 (* v v)) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series1.4s

Counts
4 → 12
Calls
4 calls:
155.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
152.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
470.0ms
(/ 1.0 (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
603.0ms
(/ (* 5.0 (* v v)) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify44.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09842067
150011714

prune499.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ 1.0 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
5.9b
(/ (* 5.0 (* v v)) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
34×associate-*r/
15×cbrt-undiv div-exp
14×add-sqr-sqrt
12×sqrt-div
10×add-cube-cbrt *-un-lft-identity associate-/r/
9×flip3-- flip--
8×pow1 associate-*r*
6×associate-*l*
4×expm1-log1p-u frac-times times-frac log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* sqrt-prod *-commutative div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
12.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
10.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
25.0ms
(/ 1.0 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
96.0ms
(/ (* 5.0 (* v v)) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series1.2s

Counts
4 → 12
Calls
4 calls:
154.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
155.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
317.0ms
(/ 1.0 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
586.0ms
(/ (* 5.0 (* v v)) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify40.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09191796
150011483

prune443.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02825
12825

end0.0ms

sample1.0s

Algorithm
intervals
Results
389.0ms8000×body80valid
364.0ms8091×body80nan