Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

331×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1228
8	353
7	150
6	113
5	90
4	62
3	36
2	20
1	11
0	7

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- z x) y x)
10.8b	(/ (fma (- z x) y x) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (- z x) y x)
8.0ms	(/ (fma (- z x) y x) z)

series93.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma (- z x) y x)
53.0ms	(/ (fma (- z x) y x) z)

simplify1.2s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
3	1674
2	286
1	117
0	66

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma (/ (- x) z) y y) (/ x z))
0.1b	(fma (/ (- x) z) y y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

10.0ms	(+ (fma (/ (- x) z) y y) (/ x z))
0.0ms	(fma (/ (- x) z) y y)

series96.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (fma (/ (- x) z) y y) (/ x z))
43.0ms	(fma (/ (- x) z) y y)

simplify897.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
3	1481
2	310
1	108
0	44

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (+ 1 (/ (- x) z)) (/ x z))) (cbrt (fma y (+ 1 (/ (- x) z)) (/ x z))))
0.6b	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))
0.6b	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))
0.6b	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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 (fma y (+ 1 (/ (- x) z)) (/ x z))) (cbrt (fma y (+ 1 (/ (- x) z)) (/ x z))))
1.0ms	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))
1.0ms	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))
1.0ms	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))

series727.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (fma y (+ 1 (/ (- x) z)) (/ x z))) (cbrt (fma y (+ 1 (/ (- x) z)) (/ x z))))
164.0ms	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))
184.0ms	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))
170.0ms	(cbrt (fma y (+ 1 (/ (- x) z)) (/ x z)))

simplify684.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1174
1	335
0	141

prune726.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- x) (/ z y)) y)
0.0b	(+ (+ (/ (- x) (/ z y)) y) (/ x z))
6.4b	(/ (- x) (/ z y))

rewrite847.0ms

Algorithm

rewrite-expression-head

Rules

449×	`times-frac`
244×	`*-un-lft-identity`
233×	`add-sqr-sqrt` `add-cube-cbrt`
141×	`fma-def`
81×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
27×	`neg-mul-1`
23×	`div-inv`
13×	`associate-/r*`
10×	`associate-/l*` `add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r/`
5×	`distribute-lft-out`
4×	`sum-log`
3×	`neg-sub0` `expm1-log1p-u` `pow1` `cbrt-undiv` `flip3-+` `div-sub` `div-exp` `associate-+l-` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-lft1-in` `distribute-rgt-out` `frac-add`
1×	`associate-+l+` `clear-num` `frac-2neg` `distribute-frac-neg`

Counts

3 → 350

Calls

3 calls:

140.0ms	(+ (/ (- x) (/ z y)) y)
648.0ms	(+ (+ (/ (- x) (/ z y)) y) (/ x z))
27.0ms	(/ (- x) (/ z y))

series146.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (/ (- x) (/ z y)) y)
56.0ms	(+ (+ (/ (- x) (/ z y)) y) (/ x z))
44.0ms	(/ (- x) (/ z y))

simplify445.0ms

Counts

359 → 359

Iterations

Iter	Nodes
done	5001
1	1103
0	361

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
2	18
1	16
0	11

end0.0ms

sample943.0ms

Algorithm

intervals

Results

442.0ms

10133×

body

valid