Details

sample91.0ms

Algorithm

intervals

Results

43.0ms

481×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))

rewrite22.0ms

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:

0.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
19.0ms	(* (/ z t) (/ z t))

series220.0ms

Counts

2 → 6

Calls

2 calls:

164.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
55.0ms	(* (/ z t) (/ z t))

simplify2.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2893
1	425
0	129

prune554.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
20.7b	(cbrt (* (/ z t) (/ z t)))
20.7b	(cbrt (* (/ z t) (/ z t)))
20.7b	(cbrt (* (/ z t) (/ z t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-l/` `associate-r/`
12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 93

Calls

4 calls:

23.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
7.0ms	(cbrt (* (/ z t) (/ z t)))
6.0ms	(cbrt (* (/ z t) (/ z t)))
7.0ms	(cbrt (* (/ z t) (/ z t)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
126.0ms	(cbrt (* (/ z t) (/ z t)))
122.0ms	(cbrt (* (/ z t) (/ z t)))
129.0ms	(cbrt (* (/ z t) (/ z t)))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	697
1	234
0	116

prune850.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z t)) (cbrt (/ z t)))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))

rewrite61.0ms

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:

37.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series495.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
96.0ms	(cbrt (/ z t))
137.0ms	(cbrt (/ z t))
121.0ms	(cbrt (/ z t))

simplify1.4s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1230
1	290
0	165

prune1.2s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t) (cbrt t))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite27.0ms

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:

18.0ms	(* (cbrt t) (cbrt t))
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

350.0ms	(* (cbrt t) (cbrt t))
259.0ms	(cbrt z)
290.0ms	(cbrt z)
275.0ms	(cbrt z)

simplify2.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	2984
2	539
1	154
0	76

prune637.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.1b

regimes1.4s

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s

15441×

body

valid