Details

sample57.0ms

Algorithm

intervals

Results

35.0ms

266×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (61.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	187	12
5	305	12
6	478	12
7	702	12
8	1002	12
9	1286	12
10	1422	12
11	1461	12
12	1466	12
done	1466	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.1b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

103.0ms	(/ (- z y) (+ (- t z) 1.0))
1.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series237.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- z y) (+ (- t z) 1.0))
166.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 3 (833.0ms)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	772	940
3	2413	936
done	5000	936

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1` `distribute-lft-out--`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

246.0ms	(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
24.0ms	(cbrt (+ (- t z) 1.0))
29.0ms	(cbrt (+ (- t z) 1.0))
35.0ms	(cbrt (+ (- t z) 1.0))

series611.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
174.0ms	(cbrt (+ (- t z) 1.0))
145.0ms	(cbrt (+ (- t z) 1.0))
160.0ms	(cbrt (+ (- t z) 1.0))

simplify2.2s

Counts

125 → 125

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	134	2049
1	295	1877
2	775	1771
3	2053	1535
done	5000	1502

prune623.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z y)) (cbrt (- z y)))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

75.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
8.0ms	(cbrt (- z y))
9.0ms	(cbrt (- z y))
21.0ms	(cbrt (- z y))

series807.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
209.0ms	(cbrt (- z y))
192.0ms	(cbrt (- z y))
208.0ms	(cbrt (- z y))

simplify3.6s

Counts

121 → 121

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	135	1434
1	271	1320
2	648	1262
3	1435	1156
4	3932	1116
done	5000	1112

prune678.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
10.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

98.0ms	(/ (+ (- t z) 1.0) a)
75.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series245.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ (- t z) 1.0) a)
197.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.2s

Counts

185 → 185

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	230	3588
1	623	3351
2	2033	3230
done	5001	3211

prune559.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

Details

sample57.0ms

simplify3.2s

prune8.0ms

localize11.0ms

rewrite108.0ms

series237.0ms

simplify2.1s

prune261.0ms

localize34.0ms

rewrite342.0ms

series611.0ms

simplify2.2s

prune623.0ms

localize43.0ms

rewrite117.0ms

series807.0ms

simplify3.6s

prune678.0ms

localize23.0ms

rewrite187.0ms

series245.0ms

simplify2.2s

prune559.0ms

regimes3.0ms