Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (50.0ms)

Iter	Nodes	Cost
0	16	21
1	33	20
2	78	20
3	154	20
4	371	19
5	707	19
6	1188	19
7	2414	19
done	5000	19

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
23.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

11.0ms	(* (+ t y) a)
43.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
89.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series804.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
104.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
51.0ms	(+ (* (+ x y) z) (* (+ t y) a))
624.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify742.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	192	2540
1	575	2315
2	2301	2102
done	5000	2102

prune471.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
23.4b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`associate-r`
18×	`add-cube-cbrt`
17×	`times-frac`
15×	`add-exp-log`
12×	`associate-*l/`
11×	`add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out`
8×	`pow1`
7×	`flip3-+` `associate-l` `flip-+`
5×	`prod-exp`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `unswap-sqr`
3×	`flip3--` `fma-neg` `prod-diff` `flip--` `cbrt-unprod`
2×	`frac-times` `diff-log` `div-exp` `pow-prod-down` `sum-log` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `fma-def` `1-exp` `associate-*r/` `associate--l+` `un-div-inv` `div-inv`

Counts

4 → 113

Calls

4 calls:

12.0ms	(* (+ t y) a)
42.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
146.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
110.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
666.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	219	2652
1	663	2344
2	2805	2043
done	5000	2043

prune466.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
1.6b	(- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b))
1.8b	(+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a)))
23.3b	(/ (- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b)) (+ (+ x t) y))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
12×	`associate-*l/` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`cbrt-prod` `fma-neg` `prod-diff` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `pow1/3` `div-sub` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt a)
51.0ms	(- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b))
10.0ms	(+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a)))
97.0ms	(/ (- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b)) (+ (+ x t) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt a)
195.0ms	(- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b))
132.0ms	(+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a)))
824.0ms	(/ (- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b)) (+ (+ x t) y))

simplify175.0ms

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	193	3226
1	573	2993