Details

Time bar (total: 1.3m)

sample1.2s

Algorithm
intervals
Results
1.1s3359×body80valid

simplify7.1s

Counts
1 → 1
Iterations
IterNodes
48828
31935
2407
193
031

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize126.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0b
(sqrt PI)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
162×add-sqr-sqrt
144×times-frac
124×add-exp-log
113×*-un-lft-identity
89×add-cube-cbrt
50×pow1
48×div-exp prod-exp
45×swap-sqr
40×add-cbrt-cube
39×associate-*r* associate-*l*
27×unswap-sqr
24×rec-exp 1-exp pow-flip inv-pow
18×div-inv
15×pow-prod-up
12×cbrt-undiv cbrt-unprod
9×pow-prod-down pow-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow2 frac-times pow-plus associate-*l/ associate-*r/ un-div-inv *-commutative sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 310
Calls
4 calls:
27.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
25.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms
(sqrt PI)

series66.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
24.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
22.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms
(sqrt PI)

simplify3.9s

Counts
320 → 320
Iterations
IterNodes
33491
21249
1485
0168

prune6.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize109.0ms

Local error

Found 4 expressions with local error:

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

rewrite383.0ms

Algorithm
rewrite-expression-head
Rules
3929×add-exp-log
2210×div-exp
1595×prod-exp
718×times-frac
517×add-cbrt-cube
489×add-sqr-sqrt
455×rec-exp 1-exp
360×*-un-lft-identity
328×add-cube-cbrt
237×cbrt-undiv
196×pow1
195×cbrt-unprod
129×associate-*r*
104×pow-div
98×swap-sqr
87×associate-*l*
74×pow-prod-up
68×div-inv
64×pow-flip inv-pow
50×unswap-sqr
19×frac-times
15×associate-*l/
14×pow-sqr
13×associate-*r/
12×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 pow-plus
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 1143
Calls
4 calls:
198.0ms
(* (* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))) (/ (/ 1 (fabs x)) (fabs x)))
30.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
43.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series191.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))) (/ (/ 1 (fabs x)) (fabs x)))
39.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
39.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify10.9s

Counts
1153 → 1153
Iterations
IterNodes
13286
01195

prune21.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (fma 3/4 (* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))) (fma (pow (fabs x) -7) 15/8 (* (fma (/ (/ 1 (fabs x)) (fabs x)) 1/2 1) (/ 1 (fabs x))))))
0.3b
(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
0.5b
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
642×add-exp-log
357×times-frac
353×div-exp
263×add-sqr-sqrt
231×prod-exp
187×*-un-lft-identity
170×add-cube-cbrt
149×add-cbrt-cube
85×pow1
78×associate-*l*
76×rec-exp 1-exp
65×cbrt-undiv
49×swap-sqr cbrt-unprod
47×associate-*r*
40×pow-div
34×div-inv
31×unswap-sqr
26×pow-flip inv-pow
25×pow-prod-up
13×sqrt-prod
7×pow-prod-down pow-sqr
6×frac-times associate-*r/
5×associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×fma-udef
1×pow2 distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow-plus pow1/2
Counts
4 → 457
Calls
4 calls:
34.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (fma 3/4 (* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))) (fma (pow (fabs x) -7) 15/8 (* (fma (/ (/ 1 (fabs x)) (fabs x)) 1/2 1) (/ 1 (fabs x))))))
61.0ms
(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
40.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series615.0ms

Counts
4 → 10
Calls
4 calls:
491.0ms
(* (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (fma 3/4 (* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))) (fma (pow (fabs x) -7) 15/8 (* (fma (/ (/ 1 (fabs x)) (fabs x)) 1/2 1) (/ 1 (fabs x))))))
65.0ms
(* (/ 1 (fabs x)) (* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x))))
58.0ms
(* (/ (/ 1 (fabs x)) (fabs x)) (/ (/ 1 (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.5s

Counts
467 → 467
Iterations
IterNodes
25374
11886
0630

prune8.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (exp (* (fabs x) (fabs x))) (+ (/ 1 (fabs x)) (+ (+ (/ 3/4 (pow (fabs x) 5)) (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))) (/ 15/8 (pow (fabs x) 7))))) (sqrt (/ 1 PI)))
0.3b
(/ 15/8 (pow (fabs x) 7))
0.3b
(/ 3/4 (pow (fabs x) 5))
0.3b
(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
54×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×add-exp-log
24×unpow-prod-down
22×add-cbrt-cube
18×frac-add
16×associate-*r*
15×associate-/r* associate-*r/
13×sqrt-prod
9×pow1 div-exp associate-/l*
8×sqrt-div sqr-pow
7×frac-times associate-*l/
6×flip3-+ prod-exp cbrt-unprod flip-+
5×cbrt-undiv
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg pow-prod-down
2×pow-to-exp pow-exp
1×associate-*l* *-commutative
Counts
4 → 171
Calls
4 calls:
1.6s
(* (* (exp (* (fabs x) (fabs x))) (+ (/ 1 (fabs x)) (+ (+ (/ 3/4 (pow (fabs x) 5)) (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))) (/ 15/8 (pow (fabs x) 7))))) (sqrt (/ 1 PI)))
7.0ms
(/ 15/8 (pow (fabs x) 7))
11.0ms
(/ 3/4 (pow (fabs x) 5))
36.0ms
(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
427.0ms
(* (* (exp (* (fabs x) (fabs x))) (+ (/ 1 (fabs x)) (+ (+ (/ 3/4 (pow (fabs x) 5)) (/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))) (/ 15/8 (pow (fabs x) 7))))) (sqrt (/ 1 PI)))
70.0ms
(/ 15/8 (pow (fabs x) 7))
80.0ms
(/ 3/4 (pow (fabs x) 5))
37.0ms
(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))

simplify3.8s

Counts
183 → 183
Iterations
IterNodes
24585
11106
0408

prune3.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes299.0ms

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
231
131
025

end0.0ms

sample4.6s

Algorithm
intervals
Results
4.3s11107×body80valid