Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

324×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	66	8
5	92	8
6	110	8
7	136	8
8	188	8
9	475	8
10	2057	8
done	5000	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- 1.0 x) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

33.0ms

(* (- 1.0 x) z)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (- 1.0 x) z)

simplify4.5s

Counts

27 → 27

Iterations

Useful iterations: 3 (742.0ms)

Iter	Nodes	Cost
0	50	203
1	114	194
2	447	176
3	4953	174
done	5000	174

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

45.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))

series460.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
108.0ms	(cbrt (- 1.0 x))
133.0ms	(cbrt (- 1.0 x))
102.0ms	(cbrt (- 1.0 x))

simplify827.0ms

Counts

121 → 121

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	152	1619
1	357	1459
2	1297	1391
done	5001	1351

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
4.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))

series518.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (- 1.0 x))
127.0ms	(cbrt (- 1.0 x))
144.0ms	(cbrt (- 1.0 x))
129.0ms	(cbrt (- 1.0 x))

simplify1.6s

Counts

80 → 80

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	85	972
1	196	900
2	587	856
3	2284	784
done	5000	756

prune496.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite28.0ms

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:

20.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt z) (cbrt z))
277.0ms	(cbrt z)
217.0ms	(cbrt z)
233.0ms	(cbrt z)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune371.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

778.0ms

10145×

body

valid