Details

Time bar (total: 28.8s)

sample1.2s

Algorithm
intervals
Results
1.1s3356×body80valid

simplify8.2s

Counts
1 → 1

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize65.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.5b
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
0.4b
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
268×pow1
116×pow-prod-up
74×pow-prod-down
69×add-cbrt-cube
66×add-exp-log
40×times-frac prod-exp cbrt-unprod
30×pow-sqr
27×associate-*l*
25×add-sqr-sqrt
23×*-un-lft-identity
21×pow-plus add-cube-cbrt
15×pow2 sqrt-prod
14×cube-unmult
9×cbrt-undiv div-exp
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ *-commutative flip-+ div-inv
1×distribute-rgt-in distribute-lft-in swap-sqr associate-*l/ distribute-lft-out unswap-sqr
Counts
4 → 198
Calls
4 calls:
Slowest
99.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
90.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series287.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
245.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
42.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.7s

Counts
206 → 206

prune3.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
0.3b
(/ 3/4 (* (fabs x) (fabs x)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
38×add-cbrt-cube
35×add-exp-log
27×add-sqr-sqrt
26×associate-*l*
25×*-un-lft-identity
23×add-cube-cbrt
15×sqrt-prod
14×prod-exp cbrt-unprod
11×cbrt-undiv div-exp
8×pow1
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out unswap-sqr
Counts
4 → 120
Calls
4 calls:
Slowest
79.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
6.0ms
(/ 3/4 (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series320.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
299.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
21.0ms
(/ 3/4 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.7s

Counts
128 → 128

prune2.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.2b

localize71.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
33×add-cbrt-cube
30×add-exp-log
27×add-sqr-sqrt
26×associate-*l*
24×*-un-lft-identity
22×add-cube-cbrt
18×sqrt-prod
13×prod-exp cbrt-unprod
9×pow1 cbrt-undiv div-exp
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×frac-times flip3-+ associate-*r/ flip-+ div-inv
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
Slowest
135.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series285.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
284.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.3s

Counts
118 → 118

prune2.6s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
0.3b
(* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
90×pow1
54×add-cbrt-cube
51×add-exp-log
45×pow-prod-up
40×times-frac
28×prod-exp cbrt-unprod
27×associate-*l*
25×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
16×pow-prod-down
15×sqrt-prod
9×pow2 cbrt-undiv pow-plus div-exp pow-sqr
5×associate-*r*
4×expm1-log1p-u cube-unmult insert-posit16 log1p-expm1-u add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ *-commutative flip-+ div-inv
1×distribute-rgt-in distribute-lft-in associate-*l/ distribute-lft-out unswap-sqr
Counts
4 → 147
Calls
4 calls:
Slowest
132.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
84.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series347.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
286.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
61.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.6s

Counts
155 → 155

prune2.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

regimes430.0ms

bsearch9.0ms

end0.0ms