Details

sample104.0ms

Algorithm

intervals

Results

42.0ms	292×	body	80	nan
25.0ms	294×	body	80	valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	261	16
4	691	16
5	1728	16
6	3874	16
done	5000	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `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` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

824.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
23.0ms	(* (- a 0.5) b)
264.0ms	(- (+ (+ x y) z) (* z (log t)))
13.0ms	(* z (log t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
37.0ms	(* (- a 0.5) b)
52.0ms	(- (+ (+ x y) z) (* z (log t)))
45.0ms	(* z (log t))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2168	1351
done	5000	1342

prune525.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

19.0ms	(* z (log (cbrt t)))
41.0ms	(* (* 2 (log (cbrt t))) z)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series985.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* z (log (cbrt t)))
221.0ms	(* (* 2 (log (cbrt t))) z)
300.0ms	(cbrt t)
334.0ms	(cbrt t)

simplify3.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	110	670
1	220	632
2	669	534
3	2700	518
done	5001	518

prune453.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt t)
299.0ms	(cbrt t)
352.0ms	(cbrt t)
351.0ms	(cbrt t)

simplify2.2s

Counts

56 → 56

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune402.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (* (* 2/3 (log t)) z))
0.6b	(cbrt (* (* 2/3 (log t)) z))
0.6b	(cbrt (* (* 2/3 (log t)) z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt t)
26.0ms	(cbrt (* (* 2/3 (log t)) z))
25.0ms	(cbrt (* (* 2/3 (log t)) z))
26.0ms	(cbrt (* (* 2/3 (log t)) z))

series784.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt t)
151.0ms	(cbrt (* (* 2/3 (log t)) z))
190.0ms	(cbrt (* (* 2/3 (log t)) z))
180.0ms	(cbrt (* (* 2/3 (log t)) z))

simplify4.3s

Counts

50 → 50

Iterations

Useful iterations: 5 (2.9s)

Iter	Nodes	Cost
0	68	473
1	125	460
2	218	403
3	489	367
4	1366	340
5	4500	337
done	5001	337

prune403.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

Details

sample104.0ms

simplify8.9s

prune3.0ms

localize30.0ms

rewrite1.1s

series348.0ms

simplify1.4s

prune525.0ms

localize55.0ms

rewrite68.0ms

series985.0ms

simplify3.5s

prune453.0ms

localize37.0ms

rewrite9.0ms

series1.3s

simplify2.2s

prune402.0ms

localize65.0ms

rewrite80.0ms

series784.0ms

simplify4.3s

prune403.0ms

regimes4.0ms