Details

sample104.0ms

Algorithm

intervals

Results

42.0ms	864×	body	80	nan
21.0ms	257×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log t) z)
0.0b	(- (fma x (log y) (- (log t) z)) y)
0.1b	(fma x (log y) (- (log t) z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`prod-diff`
19×	`add-cube-cbrt`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp`
5×	`log-pow`
4×	`associate--l+`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

10.0ms	(- (log t) z)
7.0ms	(- (fma x (log y) (- (log t) z)) y)
0.0ms	(fma x (log y) (- (log t) z))

series260.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- (log t) z)
59.0ms	(- (fma x (log y) (- (log t) z)) y)
77.0ms	(fma x (log y) (- (log t) z))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	157	1257
1	330	1037
2	729	872
3	3067	756
done	5000	756

prune254.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
0.1b	(fma x (log y) (- (log t) z))
0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.7b	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`prod-diff`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
35×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
18×	`fma-neg`
6×	`add-log-exp` `difference-of-squares` `sqr-pow`
5×	`pow1` `add-exp-log` `cube-mult` `unpow3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

35.0ms	(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
0.0ms	(fma x (log y) (- (log t) z))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
4.0ms	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

series1.1s

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
115.0ms	(fma x (log y) (- (log t) z))
519.0ms	(cbrt (fma x (log y) (- (log t) z)))
422.0ms	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	247	4273
1	651	2765
2	2031	2226
done	5000	2188

prune535.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.7b	(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)
0.7b	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down` `cube-prod`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

2.0ms	(cbrt (fma x (log y) (- (log t) z)))
2.0ms	(cbrt (fma x (log y) (- (log t) z)))
9.0ms	(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)
10.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

series2.9s

Counts

4 → 12

Calls

4 calls:

570.0ms	(cbrt (fma x (log y) (- (log t) z)))
581.0ms	(cbrt (fma x (log y) (- (log t) z)))
909.0ms	(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)
840.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

simplify2.0s

Counts

104 → 104

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	249	3305
1	784	2689
2	3276	2409
done	5001	2372

prune785.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.7b	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
11.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

series2.6s

Counts

4 → 12

Calls

4 calls:

561.0ms	(cbrt (fma x (log y) (- (log t) z)))
585.0ms	(cbrt (fma x (log y) (- (log t) z)))
604.0ms	(cbrt (fma x (log y) (- (log t) z)))
838.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	2582
1	548	2294
2	2101	2075
done	5000	2025

prune764.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

Details

sample104.0ms

simplify1.2s

prune7.0ms

localize13.0ms

rewrite20.0ms

series260.0ms

simplify2.5s

prune254.0ms

localize26.0ms

rewrite47.0ms

series1.1s

simplify1.4s

prune535.0ms

localize50.0ms

rewrite27.0ms

series2.9s

simplify2.0s

prune785.0ms

localize52.0ms

rewrite16.0ms

series2.6s

simplify1.2s

prune764.0ms

regimes7.0ms