Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	52	7
4	84	7
5	92	7
done	92	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize9.0ms

Local error

Found 1 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

27.0ms

(* x (- 1.0 (* y z)))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* x (- 1.0 (* y z)))

simplify3.9s

Counts

35 → 35

Iterations

Useful iterations: 3 (904.0ms)

Iter	Nodes	Cost
0	70	405
1	168	402
2	674	354
3	4164	343
done	5000	343

prune140.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 95

Calls

4 calls:

44.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
333.0ms	(cbrt (- 1.0 (* y z)))
361.0ms	(cbrt (- 1.0 (* y z)))
336.0ms	(cbrt (- 1.0 (* y z)))

simplify1.0s

Counts

107 → 107

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	152	2108
1	398	1928
2	1692	1787
done	5000	1664

prune839.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma y (- z) 1.0)) (cbrt (fma y (- z) 1.0)))
2.8b	(cbrt (fma y (- z) 1.0))
2.8b	(cbrt (fma y (- z) 1.0))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite27.0ms

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×	`cbrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

15.0ms	(* (cbrt (fma y (- z) 1.0)) (cbrt (fma y (- z) 1.0)))
2.0ms	(cbrt (fma y (- z) 1.0))
2.0ms	(cbrt (fma y (- z) 1.0))
7.0ms	(cbrt (- 1.0 (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt (fma y (- z) 1.0)) (cbrt (fma y (- z) 1.0)))
264.0ms	(cbrt (fma y (- z) 1.0))
319.0ms	(cbrt (fma y (- z) 1.0))
351.0ms	(cbrt (- 1.0 (* y z)))

simplify849.0ms

Counts

95 → 95

Iterations

Useful iterations: done (845.0ms)

Iter	Nodes	Cost
0	155	1752
1	400	1602
2	1627	1481
done	5000	1357

prune763.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.7b

localize44.0ms

Local error

Found 4 expressions with local error:

2.8b	(cbrt (fma y (- z) 1.0))
2.8b	(cbrt (fma y (- z) 1.0))
2.8b	(cbrt (fma y (- z) 1.0))
2.8b	(cbrt (fma y (- z) 1.0))

rewrite8.0ms

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:

2.0ms	(cbrt (fma y (- z) 1.0))
2.0ms	(cbrt (fma y (- z) 1.0))
2.0ms	(cbrt (fma y (- z) 1.0))
2.0ms	(cbrt (fma y (- z) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (fma y (- z) 1.0))
300.0ms	(cbrt (fma y (- z) 1.0))
390.0ms	(cbrt (fma y (- z) 1.0))
366.0ms	(cbrt (fma y (- z) 1.0))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	67	1120
1	158	1068
2	510	1000
3	3058	888
done	5001	828

prune561.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.7b

regimes492.0ms

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.3b and baseline of 3.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample932.0ms

Algorithm

intervals

Results

391.0ms

9551×

body

valid