Details

Time bar (total: 17.0s)

sample316.0ms

Algorithm
intervals
Results
137.0ms538×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (299.0ms)

IterNodesCost
02229
15129
215229
364128
4296128
done500028

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.3b
(/ 2.0 (* r r))
5.6b
(* (* (* w w) r) r)
10.7b
(* (* w w) r)

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
10×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
8×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
8.0ms
(/ 2.0 (* r r))
83.0ms
(* (* (* w w) r) r)
41.0ms
(* (* w w) r)

series271.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
49.0ms
(/ 2.0 (* r r))
57.0ms
(* (* (* w w) r) r)
37.0ms
(* (* w w) r)

simplify3.1s

Counts
89 → 89
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0128982
1293962
21009802
33247766
done5000758

prune472.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
22×add-sqr-sqrt
18×add-cube-cbrt
12×prod-diff
11×pow1 add-exp-log add-cbrt-cube
9×add-log-exp
5×distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×times-frac swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp cbrt-unprod fma-udef distribute-lft-out--
1×pow2 sub-neg flip3-- frac-2neg pow-plus pow-prod-down associate--l+ clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-- div-inv associate--r+ difference-of-squares unswap-sqr
Counts
4 → 96
Calls
4 calls:
190.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms
(/ 2.0 (* r r))
7.0ms
(* (fabs (* w r)) (fabs (* w r)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
139.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
39.0ms
(/ 2.0 (* r r))
10.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01783903
13952614
211592171
done50001845

prune644.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b
(/ (/ 2.0 r) r)
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
71×*-un-lft-identity
62×add-sqr-sqrt
58×add-cube-cbrt
13×associate-/l*
12×prod-diff
11×pow1 add-exp-log add-cbrt-cube
9×add-log-exp
5×div-inv distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×cbrt-undiv swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×diff-log fma-udef distribute-lft-out--
1×pow2 sub-neg flip3-- frac-2neg pow-plus pow-prod-down prod-exp associate--l+ clear-num sum-log pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ associate--r+ difference-of-squares unswap-sqr
Counts
4 → 145
Calls
4 calls:
354.0ms
(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
24.0ms
(/ (/ 2.0 r) r)
16.0ms
(* (fabs (* w r)) (fabs (* w r)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
139.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
36.0ms
(/ (/ 2.0 r) r)
16.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify1.4s

Counts
157 → 157
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02754580
16023245
215632776
done50002438

prune840.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b
(/ r (/ 2.0 r))
0.3b
(/ 1 (/ r (/ 2.0 r)))
0.4b
(* (fabs (* w r)) (fabs (* w r)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
237×add-sqr-sqrt
235×add-cube-cbrt *-un-lft-identity
57×associate-/r*
32×add-exp-log
22×div-inv
20×add-cbrt-cube
18×div-exp
12×pow1
9×cbrt-undiv
6×associate-/r/ associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp 1-exp swap-sqr associate-*r* associate-*l*
2×frac-2neg clear-num
1×pow2 pow-flip pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef inv-pow unswap-sqr
Counts
4 → 315
Calls
4 calls:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms
(/ r (/ 2.0 r))
30.0ms
(/ 1 (/ r (/ 2.0 r)))
11.0ms
(* (fabs (* w r)) (fabs (* w r)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
39.0ms
(/ r (/ 2.0 r))
41.0ms
(/ 1 (/ r (/ 2.0 r)))
16.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify3.0s

Counts
327 → 327
Iterations

Useful iterations: done (3.0s)

IterNodesCost
04925263
110544321
224743706
done50013559

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms