Details

Time bar (total: 7.9s)

sample61.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
18.0ms202×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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 frac-times div-exp 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 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
54.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
586.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
190.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07531153
142561002
250011002

prune311.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series751.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
27.0ms
(* PI t)
508.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
191.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0594867
13122756
25002756

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-exp-log add-cbrt-cube
11×pow1
10×associate-/l*
8×sqrt-prod
7×cbrt-undiv div-exp div-inv
6×associate-*l* prod-exp cbrt-unprod
5×associate-/r*
4×associate-*r* pow-prod-down add-log-exp
3×div-sub associate-/l/
2×flip3-- frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative flip-- unswap-sqr
Counts
4 → 120
Calls
4 calls:
9.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
11.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
19.0ms
(* PI t)
85.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
519.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify82.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07031484
133531354
250011354

prune391.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
0.4b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
269×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
56×associate-/l*
44×sqrt-prod
28×add-exp-log add-cbrt-cube
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×div-sub
4×add-log-exp
2×frac-2neg sqrt-div associate-*r/ associate-*r* clear-num associate-/r/ *-commutative associate-/l/ unswap-sqr
1×flip3-- flip--
Counts
4 → 348
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
7.0ms
(* 3.0 (* v v))
8.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
26.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 5.0 (* v v))
32.0ms
(* 3.0 (* v v))
85.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) PI) t)
534.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
360 → 360
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016006427
150026272

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample1.7s

Algorithm
intervals
Results
764.0ms8000×body80valid
718.0ms7980×body80nan