Details

sample87.0ms

Algorithm

intervals

Results

25.0ms	294×	body	80	valid
23.0ms	292×	body	80	nan

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	276	15
4	776	15
5	2106	14
6	4827	14
done	5000	14

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

0.0ms	(fma (- a 0.5) b (+ x y))
22.0ms	(- 1 (log t))
1.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

series541.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(fma (- a 0.5) b (+ x y))
194.0ms	(- 1 (log t))
248.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	114	848
1	218	656
2	472	543
3	1643	507
done	5000	506

prune254.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
0.3b	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

1.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
18.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series2.1s

Counts

4 → 12

Calls

4 calls:

702.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma (- a 0.5) b (+ x y)))
843.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
302.0ms	(cbrt t)
263.0ms	(cbrt t)

simplify3.2s

Counts

90 → 90

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	139	1418
1	280	1239
2	748	1011
3	3420	814
done	5000	813

prune557.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (fma (- a 0.5) b (+ x y)))
0.3b	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.5b	(fma (log t) (+ 1 (log t)) 1)
0.7b	(pow (log t) 3)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
36×	`times-frac`
32×	`difference-of-squares`
24×	`add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
9×	`sqr-pow`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`log-pow` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

1.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (fma (- a 0.5) b (+ x y)))
100.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.0ms	(fma (log t) (+ 1 (log t)) 1)
4.0ms	(pow (log t) 3)

series3.8s

Counts

4 → 12

Calls

4 calls:

2.2s	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (fma (- a 0.5) b (+ x y)))
922.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
419.0ms	(fma (log t) (+ 1 (log t)) 1)
257.0ms	(pow (log t) 3)

simplify1.8s

Counts

127 → 127

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	221	2725
1	512	2572
2	1455	2423
done	5000	2411

prune710.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log t))
0.1b	(fma z (cbrt (pow (- 1 (log t)) 3)) (fma (- a 0.5) b (+ x y)))
0.6b	(cbrt (pow (- 1 (log t)) 3))
0.8b	(pow (- 1 (log t)) 3)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
20×	`cbrt-prod`
19×	`add-cube-cbrt`
14×	`unpow-prod-down` `cube-prod`
13×	`pow1`
12×	`prod-diff`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`log-pow`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `log-prod` `flip3--` `fma-neg` `flip--` `associate--r+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

4 → 114

Calls

4 calls:

9.0ms	(- 1 (log t))
0.0ms	(fma z (cbrt (pow (- 1 (log t)) 3)) (fma (- a 0.5) b (+ x y)))
15.0ms	(cbrt (pow (- 1 (log t)) 3))
33.0ms	(pow (- 1 (log t)) 3)

series984.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(- 1 (log t))
287.0ms	(fma z (cbrt (pow (- 1 (log t)) 3)) (fma (- a 0.5) b (+ x y)))
234.0ms	(cbrt (pow (- 1 (log t)) 3))
268.0ms	(pow (- 1 (log t)) 3)

simplify1.0s

Counts

126 → 126

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	161	1630
1	344	1150
2	901	1014
done	5000	978

prune932.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

Details

sample87.0ms

simplify8.9s

prune9.0ms

localize19.0ms

rewrite25.0ms

series541.0ms

simplify2.3s

prune254.0ms

localize41.0ms

rewrite26.0ms

series2.1s

simplify3.2s

prune557.0ms

localize39.0ms

rewrite116.0ms

series3.8s

simplify1.8s

prune710.0ms

localize21.0ms

rewrite61.0ms

series984.0ms

simplify1.0s

prune932.0ms

regimes5.0ms