Details

sample89.0ms

Algorithm

intervals

Results

23.0ms	295×	body	80	valid
20.0ms	308×	body	80	nan

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	357
1	30	357
2	84	357
3	250	357
4	748	357
5	2166	357
done	5002	357

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite799.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`log-prod` `add-cube-cbrt`
10×	`sum-log`
9×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

604.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
17.0ms	(* (- a 0.5) b)
158.0ms	(- (+ (+ x y) z) (* z (log t)))
17.0ms	(* z (log t))

series373.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
50.0ms	(* (- a 0.5) b)
45.0ms	(- (+ (+ x y) z) (* z (log t)))
57.0ms	(* z (log t))

simplify2.2s

Counts

102 → 102

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	204	34165
1	551	29992
2	2034	29430
done	5017	29158

prune692.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- z (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.2b	(- z (* z (log t)))
0.3b	(* z (log t))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`log-prod` `add-cube-cbrt`
11×	`add-log-exp`
9×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

24.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
17.0ms	(* (- a 0.5) b)
5.0ms	(- z (* z (log t)))
9.0ms	(* z (log t))

series246.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
47.0ms	(* (- a 0.5) b)
73.0ms	(- z (* z (log t)))
45.0ms	(* z (log t))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	188	27994
1	502	24622
2	1743	24101
done	5001	23719

prune845.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

17.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt t) (cbrt t))
264.0ms	(cbrt t)
281.0ms	(cbrt t)
342.0ms	(cbrt t)

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: 3 (402.0ms)

Iter	Nodes	Cost
0	61	17134
1	136	14621
2	377	14346
3	1034	13666
4	3735	13666
done	5007	13666

prune825.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))) (cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))))
0.6b	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))
0.6b	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))
0.6b	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*l/`
68×	`flip3--` `frac-add` `flip--`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
17×	`flip3-+` `flip-+`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `associate-*r/` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

2.9s	(* (cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))) (cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))))
334.0ms	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))
316.0ms	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))
347.0ms	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))

series1.3s

Counts

4 → 12

Calls

4 calls:

350.0ms	(* (cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))) (cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))))
296.0ms	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))
317.0ms	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))
358.0ms	(cbrt (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))

simplify551.0ms

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	249	182219