Details

Time bar (total: 34.4s)

sample1.4s

Algorithm
intervals
Results
1.3s3759×body80valid

simplify7.4s

Counts
1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize66.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.5b
(* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))))
0.4b
(fma (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) (/ 15/8 (fabs x)) (/ 1 (fabs x)))
0.4b
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
440×add-exp-log
338×pow1
228×div-exp
184×pow-div
163×times-frac
157×prod-exp
146×add-cbrt-cube
115×pow-prod-up
92×add-sqr-sqrt pow-flip inv-pow
66×cbrt-undiv
61×*-un-lft-identity
55×pow-sqr
51×pow-plus add-cube-cbrt
47×cbrt-unprod
43×pow2
38×rec-exp 1-exp
19×swap-sqr
17×associate-*r* associate-*l*
16×unswap-sqr
13×pow-prod-down div-inv associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
1×frac-times rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 associate-*l/ associate-*r/ *-commutative fma-udef associate-/l/
Counts
4 → 370
Calls
4 calls:
Slowest
57.0ms
(* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))))
20.0ms
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)
0.0ms
(fma (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) (/ 15/8 (fabs x)) (/ 1 (fabs x)))

series198.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
94.0ms
(fma (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))) (/ 15/8 (fabs x)) (/ 1 (fabs x)))
56.0ms
(* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))))
47.0ms
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify1.7s

Counts
380 → 380

prune6.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.2b

localize82.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.4b
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
0.3b
(/ (fma (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ 1/2 (/ (/ 3/4 (fabs x)) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
0.3b
(/ (/ 3/4 (fabs x)) (fabs x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
244×times-frac
137×add-sqr-sqrt
136×*-un-lft-identity add-cube-cbrt
39×sqrt-prod
35×add-exp-log
29×associate-/l*
26×associate-/r* add-cbrt-cube
19×pow1
18×div-exp
13×div-inv
12×cbrt-undiv
8×pow-div
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u pow-flip inv-pow add-log-exp
3×clear-num frac-2neg
2×pow2 rec-exp pow-plus 1-exp pow-sqr pow-prod-up cbrt-unprod associate-/l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
Counts
4 → 259
Calls
4 calls:
Slowest
29.0ms
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
14.0ms
(/ (fma (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ 1/2 (/ (/ 3/4 (fabs x)) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
7.0ms
(/ (/ 3/4 (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series480.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
418.0ms
(/ (fma (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ 1/2 (/ (/ 3/4 (fabs x)) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
37.0ms
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
25.0ms
(/ (/ 3/4 (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify1.8s

Counts
269 → 269

prune4.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize92.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
0.3b
(/ (fma (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ 1/2 (/ (/ 3/4 (fabs x)) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (exp (* (fabs x) (fabs x)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
38×add-sqr-sqrt
36×*-un-lft-identity add-cube-cbrt
33×add-exp-log
25×add-cbrt-cube
20×pow1
17×div-exp
16×associate-/l*
11×cbrt-undiv
8×associate-/r* div-inv pow-div
6×sqrt-prod
5×prod-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u pow-flip inv-pow add-log-exp
3×cbrt-unprod
2×pow2 rem-sqrt-square rec-exp clear-num frac-2neg sqrt-pow1 pow-plus pow1/2 1-exp pow-sqr pow-prod-up
1×associate-/r/ associate-/l/
Counts
4 → 144
Calls
4 calls:
Slowest
14.0ms
(/ (fma (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ 1/2 (/ (/ 3/4 (fabs x)) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (exp (* (fabs x) (fabs x)))))
10.0ms
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series438.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
403.0ms
(/ (fma (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ 1/2 (/ (/ 3/4 (fabs x)) (fabs x))) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (exp (* (fabs x) (fabs x)))))
35.0ms
(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.0s

Counts
152 → 152

prune2.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.4b
(* (/ (/ 1 (fabs x)) (fabs x)) (/ 1 (fabs x)))
0.3b
(/ 3/4 (* (fabs x) (fabs x)))
0.3b
(* (/ 1 (sqrt PI)) (* (fma (* (/ (/ 1 (fabs x)) (fabs x)) (/ 1 (fabs x))) (+ (/ 3/4 (* (fabs x) (fabs x))) 1/2) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (exp (* (fabs x) (fabs x)))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
107×add-sqr-sqrt
92×add-exp-log
70×*-un-lft-identity
65×associate-*l*
62×add-cube-cbrt
42×add-cbrt-cube
40×div-exp
33×prod-exp
20×pow1
15×unswap-sqr
14×associate-*r*
13×cbrt-undiv cbrt-unprod
12×sqrt-prod
11×rec-exp 1-exp div-inv
4×expm1-log1p-u pow-prod-down pow-prod-up insert-posit16 log1p-expm1-u pow-flip inv-pow add-log-exp pow-div
3×associate-/l*
2×associate-*l/ *-commutative
1×frac-times rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow3 associate-*r/ un-div-inv
Counts
4 → 207
Calls
4 calls:
Slowest
69.0ms
(* (/ 1 (sqrt PI)) (* (fma (* (/ (/ 1 (fabs x)) (fabs x)) (/ 1 (fabs x))) (+ (/ 3/4 (* (fabs x) (fabs x))) 1/2) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (exp (* (fabs x) (fabs x)))))
37.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ 1 (fabs x)))
12.0ms
(/ 3/4 (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)

series511.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
440.0ms
(* (/ 1 (sqrt PI)) (* (fma (* (/ (/ 1 (fabs x)) (fabs x)) (/ 1 (fabs x))) (+ (/ 3/4 (* (fabs x) (fabs x))) 1/2) (+ (/ 1 (fabs x)) (/ 15/8 (pow (fabs x) 7)))) (exp (* (fabs x) (fabs x)))))
46.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ 1 (fabs x)))
25.0ms
(/ 3/4 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify1.5s

Counts
217 → 217

prune3.7s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.1b

regimes288.0ms

bsearch8.0ms

end0.0ms