Details

Time bar (total: 28.6s)

sample1.3s

Algorithm
intervals
Results
1.2s3444×body80valid

simplify8.4s

Counts
1 → 1

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize61.0ms

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

rewrite226.0ms

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
150.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
69.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series316.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
267.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
49.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.9s

Counts
206 → 206

prune3.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
54×add-cbrt-cube
51×add-sqr-sqrt
49×*-un-lft-identity
48×add-exp-log
47×add-cube-cbrt
33×sqrt-prod
26×associate-*l*
22×associate-/l*
19×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
8×pow1
5×div-inv
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
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 associate-/l/
Counts
4 → 167
Calls
4 calls:
Slowest
102.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
39.0ms
(/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series456.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
275.0ms
(* (/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x)))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))
181.0ms
(/ (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (* (fabs x) (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.8s

Counts
175 → 175

prune3.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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
126.0ms
(* (/ (/ (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)

series254.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
253.0ms
(* (/ (/ (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

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize82.0ms

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))) (fabs x)) (/ (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt PI))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
36×add-cbrt-cube
32×add-exp-log
24×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
14×times-frac prod-exp cbrt-unprod
13×associate-*l*
10×cbrt-undiv div-exp
9×pow1 sqrt-prod
8×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×div-inv unswap-sqr
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative distribute-lft-out
Counts
4 → 102
Calls
4 calls:
Slowest
103.0ms
(* (/ (exp (* (fabs x) (fabs x))) (fabs x)) (/ (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt PI))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series294.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
294.0ms
(* (/ (exp (* (fabs x) (fabs x))) (fabs x)) (/ (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))) (* (* (fabs x) (fabs x)) (sqrt PI))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.2s

Counts
108 → 108

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

regimes325.0ms

bsearch10.0ms

end0.0ms