Details

Time bar (total: 8.3s)

sample68.0ms

Algorithm
intervals
Results
27.0ms262×body80nan
25.0ms256×body80valid

simplify74.0ms

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
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 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
(* 5.0 (* v v))
3.0ms
(* PI t)
53.0ms
(/ (- 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))))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
23.0ms
(* PI t)
759.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07551158
142811002
250011002

prune301.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
39×times-frac
36×add-cbrt-cube
29×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
25×prod-exp
22×div-exp
17×pow1
13×cbrt-unprod
9×cbrt-undiv associate-/r* associate-/r/
8×associate-*r*
7×associate-*l* pow-prod-down
5×rec-exp flip3-- 1-exp flip-- div-inv
4×associate-*r/ add-log-exp
3×*-commutative associate-/l*
2×sqrt-div unswap-sqr
1×pow-flip frac-2neg clear-num sqrt-prod inv-pow
Counts
4 → 130
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
89.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
517.0ms
(/ 1 (/ (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
195.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify117.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07981978
144251757
250011708

prune319.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ 1 (/ (* (/ (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
43×add-cbrt-cube
39×times-frac
36×div-exp
29×add-sqr-sqrt
28×prod-exp
26×add-cube-cbrt *-un-lft-identity
17×pow1
14×cbrt-undiv cbrt-unprod
9×associate-/r* associate-/r/
8×associate-*r*
7×associate-*l* pow-prod-down
6×rec-exp 1-exp
5×flip3-- flip-- div-inv
4×associate-*r/ add-log-exp
3×*-commutative associate-/l*
2×sqrt-div unswap-sqr
1×pow-flip frac-2neg clear-num sqrt-prod inv-pow
Counts
4 → 134
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
109.0ms
(/ 1 (/ (* (/ (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
18.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
570.0ms
(/ 1 (/ (* (/ (* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
176.0ms
(* (* PI t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify131.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08843009
149132644
250012644

prune412.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ 1 (/ (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
0.3b
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
0.4b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
43×add-cbrt-cube
39×times-frac
36×div-exp
29×add-sqr-sqrt
28×prod-exp
26×add-cube-cbrt *-un-lft-identity
17×pow1
14×cbrt-undiv cbrt-unprod
10×associate-*r/
9×associate-*l* associate-/r* associate-/r/
7×pow-prod-down
6×rec-exp flip3-- 1-exp associate-*r* flip--
5×div-inv
4×sqrt-div add-log-exp
3×*-commutative associate-/l*
2×unswap-sqr
1×pow-flip frac-2neg clear-num sqrt-prod inv-pow
Counts
4 → 136
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
206.0ms
(/ 1 (/ (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
39.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
14.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
575.0ms
(/ 1 (/ (* (/ (* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))) (sqrt (+ 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) (- 1.0 (* 5.0 (* v v)))))
174.0ms
(* PI (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v))))))))
143.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))))))

simplify127.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08923228
148452849
250022849

prune403.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes250.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03524
13524

end0.0ms

sample1.8s

Algorithm
intervals
Results
772.0ms8000×body80valid
739.0ms8030×body80nan