Details

Time bar (total: 6.6s)

sample37.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms232×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 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))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite86.0ms

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:
7.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
55.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
603.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
194.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07551158
142811002
250011002

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt 2.0))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
110.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt 2.0))

series721.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
605.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
73.0ms
(* (* PI t) (sqrt 2.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
07961127
14479959
25002957

prune315.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.4b
(* PI (* t (sqrt 2.0)))
0.5b
(* t (sqrt 2.0))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1 add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×associate-*r/ associate-*r* associate-/r/
7×flip3-- pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 97
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
118.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* PI (* t (sqrt 2.0)))
5.0ms
(* t (sqrt 2.0))

series751.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
605.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
73.0ms
(* PI (* t (sqrt 2.0)))
41.0ms
(* t (sqrt 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07871150
14511984
25001982

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt 2.0))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
110.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt 2.0))

series725.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
606.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
74.0ms
(* (* PI t) (sqrt 2.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
07961127
14479959
25002957

prune273.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes196.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample1.0s

Algorithm
intervals
Results
384.0ms8000×body80valid
364.0ms8117×body80nan