Details

sample48.0ms

Algorithm

intervals

Results

28.0ms

512×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	58
2	44
1	24
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`times-frac`
30×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`

Counts

2 → 79

Calls

2 calls:

1.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
40.0ms	(* (/ z t) (/ z t))

series287.0ms

Counts

2 → 6

Calls

2 calls:

228.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
59.0ms	(* (/ z t) (/ z t))

simplify2.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2893
1	425
0	129

prune593.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z t)) (cbrt (/ z t)))
9.0b	(cbrt (/ z t))
9.0b	(cbrt (/ z t))
9.0b	(cbrt (/ z t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
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` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

41.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series388.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
85.0ms	(cbrt (/ z t))
81.0ms	(cbrt (/ z t))
104.0ms	(cbrt (/ z t))

simplify1.5s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1230
1	290
0	165

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (/ x y) (/ x y) (* (cbrt (* (/ z t) (/ z t))) (* (cbrt (/ z t)) (/ z t))))
0.3b	(* (/ z t) (/ z t))
9.0b	(cbrt (/ z t))
16.9b	(cbrt (* (/ z t) (/ z t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
49×	`times-frac`
39×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-prod`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-div` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-times` `pow1/3` `associate-l/` `associate-r/`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`

Counts

4 → 117

Calls

4 calls:

1.0ms	(fma (/ x y) (/ x y) (* (cbrt (* (/ z t) (/ z t))) (* (cbrt (/ z t)) (/ z t))))
21.0ms	(* (/ z t) (/ z t))
2.0ms	(cbrt (/ z t))
8.0ms	(cbrt (* (/ z t) (/ z t)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma (/ x y) (/ x y) (* (cbrt (* (/ z t) (/ z t))) (* (cbrt (/ z t)) (/ z t))))
46.0ms	(* (/ z t) (/ z t))
91.0ms	(cbrt (/ z t))
167.0ms	(cbrt (* (/ z t) (/ z t)))

simplify2.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	3168
1	547
0	202

prune908.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (* (cbrt t) (cbrt t))))
3.6b	(cbrt (/ z (cbrt t)))
9.0b	(cbrt (/ z t))
9.0b	(cbrt (/ z t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
39×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 99

Calls

4 calls:

18.0ms	(cbrt (/ 1 (* (cbrt t) (cbrt t))))
6.0ms	(cbrt (/ z (cbrt t)))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series993.0ms

Counts

4 → 12

Calls

4 calls:

542.0ms	(cbrt (/ 1 (* (cbrt t) (cbrt t))))
232.0ms	(cbrt (/ z (cbrt t)))
101.0ms	(cbrt (/ z t))
118.0ms	(cbrt (/ z t))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2525
2	676
1	282
0	184

prune974.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes1.2s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

15451×

body

valid