Details

Time bar (total: 52.1s)

sample100.0ms

Algorithm
intervals
Results
38.0ms270×body80nan
37.0ms257×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
44608
3838
2160
144
019

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.2b
(* 6 (* v v))
0.3b
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
0.5b
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
123×add-sqr-sqrt
120×*-un-lft-identity
119×add-cube-cbrt
60×sqrt-prod
41×add-cbrt-cube add-exp-log
32×associate-/l*
18×associate-*r/ associate-/r/ div-inv
17×cbrt-undiv div-exp
11×pow1
10×flip3-- flip--
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-*r* associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×clear-num sub-neg frac-2neg sqrt-div *-commutative difference-of-squares unswap-sqr associate-/l/
Counts
4 → 273
Calls
4 calls:
13.0ms
(* PI (- 1 (* v v)))
15.0ms
(* 6 (* v v))
14.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
35.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

series874.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* PI (- 1 (* v v)))
47.0ms
(* 6 (* v v))
180.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
525.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

simplify1.9s

Counts
285 → 285
Iterations
IterNodes
23722
11231
0507

prune2.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (sqrt (+ 2 (* -6 (* v v)))) t) (- 1 (* v v)))
0.2b
(* -6 (* v v))
0.4b
(* (sqrt (+ 2 (* -6 (* v v)))) t)
0.4b
(/ (/ (fma -5 (* v v) 1) PI) (* (* (sqrt (+ 2 (* -6 (* v v)))) t) (- 1 (* v v))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
31×add-sqr-sqrt times-frac
26×*-un-lft-identity
25×add-cube-cbrt
18×associate-*l/
16×pow1
14×sqrt-div
13×prod-exp cbrt-unprod associate-/l*
10×associate-*l*
9×cbrt-undiv div-exp associate-*r*
8×frac-times associate-/r/
7×flip3-+ pow-prod-down flip-+
6×flip3-- prod-diff flip--
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r/ sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
2×sub-neg difference-of-squares
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 151
Calls
4 calls:
65.0ms
(* (* (sqrt (+ 2 (* -6 (* v v)))) t) (- 1 (* v v)))
27.0ms
(* -6 (* v v))
33.0ms
(* (sqrt (+ 2 (* -6 (* v v)))) t)
56.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (* (sqrt (+ 2 (* -6 (* v v)))) t) (- 1 (* v v))))

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (* (sqrt (+ 2 (* -6 (* v v)))) t) (- 1 (* v v)))
44.0ms
(* -6 (* v v))
219.0ms
(* (sqrt (+ 2 (* -6 (* v v)))) t)
561.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (* (sqrt (+ 2 (* -6 (* v v)))) t) (- 1 (* v v))))

simplify1.7s

Counts
163 → 163
Iterations
IterNodes
23811
11071
0358

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma -5 (* v v) 1) PI)
0.0b
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
0.0b
(/ (/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) t) (- 1 (* v v)))
0.1b
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) t)

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
6026×times-frac
2690×add-sqr-sqrt *-un-lft-identity
2439×add-cube-cbrt
900×sqrt-prod
502×difference-of-squares
348×associate-/l*
171×div-inv
34×add-cbrt-cube add-exp-log
20×cbrt-undiv div-exp
17×associate-/r*
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l/
2×associate-/r/
1×flip3-- flip--
Counts
4 → 2025
Calls
4 calls:
4.0ms
(/ (fma -5 (* v v) 1) PI)
14.0ms
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
35.0ms
(/ (/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) t) (- 1 (* v v)))
28.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) t)

series1.4s

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ (fma -5 (* v v) 1) PI)
339.0ms
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
525.0ms
(/ (/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) t) (- 1 (* v v)))
391.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) t)

simplify8.7s

Counts
2037 → 2037
Iterations
IterNodes
16217
02779

prune21.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(* (cbrt PI) (cbrt PI))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
8.0ms
(* (cbrt PI) (cbrt PI))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(* (cbrt PI) (cbrt PI))

simplify1.4s

Counts
89 → 89
Iterations
IterNodes
52578
4882
3406
2232
1110
062

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
116
016

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.0s7863×body80nan
1.8s8001×body80valid