Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

384×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	8
3	86	8
4	301	8
5	1043	8
done	5001	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y z) (- t x) x)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(fma (- y z) (- t x) x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 4 (276.0ms)

Iter	Nodes	Cost
0	25	146
1	49	143
2	114	125
3	341	124
4	1876	123
done	5000	123

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- y z) (- t x) x)) (cbrt (fma (- y z) (- t x) x)))
0.5b	(cbrt (fma (- y z) (- t x) x))
0.5b	(cbrt (fma (- y z) (- t x) x))
0.5b	(cbrt (fma (- y z) (- t x) x))

rewrite29.0ms

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:

13.0ms	(* (cbrt (fma (- y z) (- t x) x)) (cbrt (fma (- y z) (- t x) x)))
3.0ms	(cbrt (fma (- y z) (- t x) x))
9.0ms	(cbrt (fma (- y z) (- t x) x))
2.0ms	(cbrt (fma (- y z) (- t x) x))

series2.3s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (- y z) (- t x) x)) (cbrt (fma (- y z) (- t x) x)))
366.0ms	(cbrt (fma (- y z) (- t x) x))
400.0ms	(cbrt (fma (- y z) (- t x) x))
459.0ms	(cbrt (fma (- y z) (- t x) x))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	97	1722
1	241	1590
2	895	1432
done	5000	1296

prune375.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

24.0ms	(* (cbrt (cbrt (fma (- y z) (- t x) x))) (cbrt (cbrt (fma (- y z) (- t x) x))))
2.0ms	(cbrt (cbrt (fma (- y z) (- t x) x)))
1.0ms	(cbrt (cbrt (fma (- y z) (- t x) x)))
2.0ms	(cbrt (cbrt (fma (- y z) (- t x) x)))

series2.4s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (cbrt (fma (- y z) (- t x) x))) (cbrt (cbrt (fma (- y z) (- t x) x))))
436.0ms	(cbrt (cbrt (fma (- y z) (- t x) x)))
439.0ms	(cbrt (cbrt (fma (- y z) (- t x) x)))
436.0ms	(cbrt (cbrt (fma (- y z) (- t x) x)))

simplify948.0ms

Counts

116 → 116

Iterations

Useful iterations: done (943.0ms)

Iter	Nodes	Cost
0	116	2576
1	263	2431
2	1037	2255
done	5000	2037

prune374.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- t) (* (- z y) x))
0.0b	(* (- z y) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma z (- t) (* (- z y) x))
24.0ms	(* (- z y) x)

series80.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma z (- t) (* (- z y) x))
32.0ms	(* (- z y) x)

simplify4.5s

Counts

40 → 40

Iterations

Useful iterations: 3 (671.0ms)

Iter	Nodes	Cost
0	67	344
1	142	335
2	498	297
3	4989	295
done	5000	295

prune165.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

913.0ms

12068×

body

valid