Details

sample102.0ms

Algorithm

intervals

Results

31.0ms	296×	body	80	valid
18.0ms	249×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.4s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	280	15
4	1040	15
5	4213	14
done	5000	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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:

9.0ms	(- 1 (log t))
0.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
0.0ms	(fma (- 1 (log t)) z y)

series415.0ms

Counts

3 → 9

Calls

3 calls:

198.0ms	(- 1 (log t))
120.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
96.0ms	(fma (- 1 (log t)) z y)

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	122	843
1	269	663
2	914	540
done	5000	502

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- 1 (log t)) z y)) (cbrt (fma (- 1 (log t)) z y)))
0.6b	(cbrt (fma (- 1 (log t)) z y))
0.6b	(cbrt (fma (- 1 (log t)) z y))
0.6b	(cbrt (fma (- 1 (log t)) z y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt (fma (- 1 (log t)) z y)) (cbrt (fma (- 1 (log t)) z y)))
2.0ms	(cbrt (fma (- 1 (log t)) z y))
2.0ms	(cbrt (fma (- 1 (log t)) z y))
2.0ms	(cbrt (fma (- 1 (log t)) z y))

series1.8s

Counts

4 → 12

Calls

4 calls:

782.0ms	(* (cbrt (fma (- 1 (log t)) z y)) (cbrt (fma (- 1 (log t)) z y)))
368.0ms	(cbrt (fma (- 1 (log t)) z y))
304.0ms	(cbrt (fma (- 1 (log t)) z y))
349.0ms	(cbrt (fma (- 1 (log t)) z y))

simplify7.7s

Counts

93 → 93

Iterations

Useful iterations: done (7.7s)

Iter	Nodes	Cost
0	89	1540
1	188	1424
2	693	1298
3	4409	1124
done	5001	1115

prune633.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- 1 (log t)) z y))
0.6b	(cbrt (fma (- 1 (log t)) z y))
0.6b	(cbrt (fma (- 1 (log t)) z y))
0.6b	(cbrt (fma (- 1 (log t)) z y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (- 1 (log t)) z y))
1.0ms	(cbrt (fma (- 1 (log t)) z y))
1.0ms	(cbrt (fma (- 1 (log t)) z y))
2.0ms	(cbrt (fma (- 1 (log t)) z y))

series1.3s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt (fma (- 1 (log t)) z y))
361.0ms	(cbrt (fma (- 1 (log t)) z y))
314.0ms	(cbrt (fma (- 1 (log t)) z y))
340.0ms	(cbrt (fma (- 1 (log t)) z y))

simplify710.0ms

Counts

64 → 64

Iterations

Useful iterations: 4 (311.0ms)

Iter	Nodes	Cost
0	44	796
1	78	776
2	143	704
3	348	672
4	1297	644
done	5001	644

prune452.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma (- 1 (log t)) z y))
0.1b	(fma (- 1 (log t)) z y)
0.1b	(fma (- 1 (log t)) z y)
0.3b	(* (sqrt (fma (- 1 (log t)) z y)) (sqrt (fma (- 1 (log t)) z y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

3.0ms	(sqrt (fma (- 1 (log t)) z y))
0.0ms	(fma (- 1 (log t)) z y)
0.0ms	(fma (- 1 (log t)) z y)
13.0ms	(* (sqrt (fma (- 1 (log t)) z y)) (sqrt (fma (- 1 (log t)) z y)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(sqrt (fma (- 1 (log t)) z y))
147.0ms	(fma (- 1 (log t)) z y)
132.0ms	(fma (- 1 (log t)) z y)
159.0ms	(* (sqrt (fma (- 1 (log t)) z y)) (sqrt (fma (- 1 (log t)) z y)))

simplify985.0ms

Counts

98 → 98

Iterations

Useful iterations: done (981.0ms)

Iter	Nodes	Cost
0	139	1678
1	363	1174
2	1443	1047
done	5001	1009

prune532.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	14
1	17	14
done	17	14

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	9129×	body	80	nan
780.0ms	9168×	body	80	valid
2.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid