Details

sample65.0ms

Algorithm

intervals

Results

17.0ms	295×	body	80	valid
15.0ms	308×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.8s)

Iter	Nodes	Cost
0	15	357
1	30	357
2	88	332
3	266	332
4	842	332
5	2285	308
done	5000	308

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- a 0.5) b (fma z (- 1 (log t)) (+ x y)))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (- a 0.5) b (fma z (- 1 (log t)) (+ x y)))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series297.0ms

Counts

2 → 6

Calls

2 calls:

213.0ms	(fma (- a 0.5) b (fma z (- 1 (log t)) (+ x y)))
83.0ms	(fma z (- 1 (log t)) (+ x y))

simplify2.1s

Counts

26 → 26

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	58	7675
1	115	7549
2	310	7486
3	1657	7470
done	5001	7445

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`log-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate--r+`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

1.0ms	(fma (- a 0.5) b (+ (- z (* z (log t))) (+ x y)))
17.0ms	(- z (* z (log t)))
14.0ms	(* z (log t))

series317.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(fma (- a 0.5) b (+ (- z (* z (log t))) (+ x y)))
68.0ms	(- z (* z (log t)))
53.0ms	(* z (log t))

simplify3.7s

Counts

72 → 72

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	128	18013
1	271	17148
2	769	16590
3	3217	15799
done	5004	15514

prune599.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (fma (* -2 (log (cbrt t))) z z) (* (log (cbrt t)) z))
0.2b	(* (log (cbrt t)) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `pow1/3` `associate-r` `prod-diff`
2×	`log-pow`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

10.0ms	(- (fma (* -2 (log (cbrt t))) z z) (* (log (cbrt t)) z))
22.0ms	(* (log (cbrt t)) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

307.0ms	(- (fma (* -2 (log (cbrt t))) z z) (* (log (cbrt t)) z))
184.0ms	(* (log (cbrt t)) z)
312.0ms	(cbrt t)
304.0ms	(cbrt t)

simplify4.1s

Counts

81 → 81

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	111	23773
1	238	19703
2	669	19123
3	2604	18272
done	5000	17456

prune958.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
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` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

14.0ms	(* (cbrt (sqrt t)) (cbrt (sqrt t)))
1.0ms	(cbrt (sqrt t))
1.0ms	(cbrt (sqrt t))
1.0ms	(cbrt t)

series884.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (sqrt t)) (cbrt (sqrt t)))
179.0ms	(cbrt (sqrt t))
251.0ms	(cbrt (sqrt t))
259.0ms	(cbrt t)

simplify50.0ms

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	95	30516