Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

344×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite23.0ms

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 x y (* (- 1.0 x) z))
22.0ms	(* (- 1.0 x) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma x y (* (- 1.0 x) z))
33.0ms	(* (- 1.0 x) z)

simplify4.1s

Counts

40 → 40

Iterations

Useful iterations: 3 (925.0ms)

Iter	Nodes	Cost
0	64	347
1	136	335
2	493	295
3	4949	293
done	5000	293

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:

15.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series978.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt z) (cbrt z))
243.0ms	(cbrt z)
252.0ms	(cbrt z)
203.0ms	(cbrt z)

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

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

prune327.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.8b	(* (- (* 1.0 1.0) (* x x)) z)
6.9b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
30.0ms	(* (- (* 1.0 1.0) (* x x)) z)
25.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series181.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
49.0ms	(* (- (* 1.0 1.0) (* x x)) z)
72.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	117	1093
1	337	1055
2	2024	898
done	5000	889

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* 1.0 (- z (* x z))))
0.0b	(- z (* x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `fma-udef`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x y (* 1.0 (- z (* x z))))
6.0ms	(- z (* x z))

series79.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(fma x y (* 1.0 (- z (* x z))))
38.0ms	(- z (* x z))

simplify2.8s

Counts

37 → 37

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	58	382
1	127	373
2	497	330
3	3951	319
done	5000	318

prune123.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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	8	10
1	10	10
done	10	10

end0.0ms

sample886.0ms

Algorithm

intervals

Results

442.0ms

10160×

body

valid