Details

sample62.0ms

Algorithm

intervals

Results

34.0ms

333×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	105	16
4	195	16
5	297	15
6	471	15
7	909	15
8	2975	15
done	5000	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.2b	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
51×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`times-frac`
41×	`associate-+r+`
39×	`prod-diff`
13×	`fma-def`
7×	`add-log-exp`
5×	`div-inv`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `frac-add` `sum-log` `log1p-expm1-u` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `distribute-lft-out--`

Counts

2 → 102

Calls

2 calls:

78.0ms	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
6.0ms	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series160.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
63.0ms	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify3.0s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	224	1965
1	497	1754
2	1191	1641
3	4110	1515
done	5000	1515

prune465.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
0.0b	(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.5b	(/ 2.0 (* t z))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
47×	`add-sqr-sqrt` `add-cube-cbrt`
41×	`associate-+r+`
39×	`times-frac` `prod-diff`
18×	`fma-def`
17×	`add-log-exp`
10×	`distribute-lft-out`
9×	`frac-add` `div-inv`
8×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `diff-log` `div-exp` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `associate-+l+` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

3 → 126

Calls

3 calls:

241.0ms	(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
30.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
8.0ms	(/ 2.0 (* t z))

series178.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (+ (/ 2.0 t) (/ 2.0 (* t z))) (- (/ x y) 2.0))
67.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
24.0ms	(/ 2.0 (* t z))

simplify2.9s

Counts

135 → 135

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	258	2515
1	726	2234
2	2642	2119
done	5000	2035

prune590.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
0.0b	(+ (/ 2.0 t) (/ (/ 2.0 t) z))
0.2b	(/ (/ 2.0 t) z)

rewrite719.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
111×	`*-un-lft-identity`
87×	`add-sqr-sqrt` `add-cube-cbrt`
41×	`associate-+r+`
39×	`prod-diff`
18×	`fma-def`
17×	`add-log-exp`
13×	`associate-/l*`
10×	`distribute-lft-out`
9×	`frac-add` `div-inv`
8×	`add-exp-log` `add-cbrt-cube`
7×	`sum-log`
4×	`flip3-+` `flip-+`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `associate-/r*` `flip--` `log1p-expm1-u`
2×	`+-commutative` `diff-log` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `associate-+l+` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 175

Calls

3 calls:

590.0ms	(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
96.0ms	(+ (/ 2.0 t) (/ (/ 2.0 t) z))
22.0ms	(/ (/ 2.0 t) z)

series185.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (+ (/ 2.0 t) (/ (/ 2.0 t) z)) (- (/ x y) 2.0))
67.0ms	(+ (/ 2.0 t) (/ (/ 2.0 t) z))
24.0ms	(/ (/ 2.0 t) z)

simplify2.2s

Counts

184 → 184

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	359	3182
1	939	2851
2	3070	2738
done	5000	2672

prune989.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
0.6b	(cbrt (/ 2.0 t))
0.6b	(cbrt (/ 2.0 t))
0.6b	(cbrt (/ 2.0 t))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

58.0ms	(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
4.0ms	(cbrt (/ 2.0 t))
4.0ms	(cbrt (/ 2.0 t))
4.0ms	(cbrt (/ 2.0 t))

series1.4s

Counts

4 → 12

Calls

4 calls:

401.0ms	(* (cbrt (/ 2.0 t)) (cbrt (/ 2.0 t)))
324.0ms	(cbrt (/ 2.0 t))
353.0ms	(cbrt (/ 2.0 t))
354.0ms	(cbrt (/ 2.0 t))

simplify3.4s

Counts

164 → 164

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	146	1894
1	225	1747
2	601	1685
3	1237	1616
4	4001	1610
done	5000	1571

prune872.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

Details

sample62.0ms

simplify5.0s

prune8.0ms

localize12.0ms

rewrite91.0ms

series160.0ms

simplify3.0s

prune465.0ms

localize21.0ms

rewrite285.0ms

series178.0ms

simplify2.9s

prune590.0ms

localize22.0ms

rewrite719.0ms

series185.0ms

simplify2.2s

prune989.0ms

localize34.0ms

rewrite83.0ms

series1.4s

simplify3.4s

prune872.0ms

regimes2.0ms