Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

268×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4400
5	954
4	265
3	108
2	58
1	25
0	12

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ 1.0 (- t z)))
0.1b	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--`

Counts

2 → 64

Calls

2 calls:

49.0ms	(/ (- z y) (+ 1.0 (- t z)))
0.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

series207.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- z y) (+ 1.0 (- t z)))
140.0ms	(fma a (/ (- z y) (+ 1.0 (- t z))) x)

simplify630.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1021
1	284
0	116

prune465.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ 1.0 (- t z)))
0.1b	(fma a (* (- z y) (/ 1 (+ 1.0 (- t z)))) x)
0.2b	(* (- z y) (/ 1 (+ 1.0 (- t z))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

44.0ms	(/ 1 (+ 1.0 (- t z)))
0.0ms	(fma a (* (- z y) (/ 1 (+ 1.0 (- t z)))) x)
84.0ms	(* (- z y) (/ 1 (+ 1.0 (- t z))))

series272.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 1 (+ 1.0 (- t z)))
152.0ms	(fma a (* (- z y) (/ 1 (+ 1.0 (- t z)))) x)
71.0ms	(* (- z y) (/ 1 (+ 1.0 (- t z))))

simplify3.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2878
1	408
0	156

prune745.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z y) (- (+ t 1.0) z))) (cbrt (/ (- z y) (- (+ t 1.0) z))))
2.8b	(cbrt (/ (- z y) (- (+ t 1.0) z)))
2.8b	(cbrt (/ (- z y) (- (+ t 1.0) z)))
2.8b	(cbrt (/ (- z y) (- (+ t 1.0) z)))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

651×	`*-un-lft-identity`
372×	`cbrt-prod`
324×	`times-frac`
318×	`add-sqr-sqrt`
212×	`distribute-lft-out--`
108×	`add-cube-cbrt`
93×	`swap-sqr` `difference-of-squares`
67×	`distribute-lft-out`
39×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `div-inv` `flip--`
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 → 344

Calls

4 calls:

214.0ms	(* (cbrt (/ (- z y) (- (+ t 1.0) z))) (cbrt (/ (- z y) (- (+ t 1.0) z))))
18.0ms	(cbrt (/ (- z y) (- (+ t 1.0) z)))
26.0ms	(cbrt (/ (- z y) (- (+ t 1.0) z)))
25.0ms	(cbrt (/ (- z y) (- (+ t 1.0) z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (/ (- z y) (- (+ t 1.0) z))) (cbrt (/ (- z y) (- (+ t 1.0) z))))
477.0ms	(cbrt (/ (- z y) (- (+ t 1.0) z)))
382.0ms	(cbrt (/ (- z y) (- (+ t 1.0) z)))
375.0ms	(cbrt (/ (- z y) (- (+ t 1.0) z)))

simplify1.4s

Counts

356 → 356

Iterations

Iter	Nodes
done	5000
2	2068
1	531
0	266

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(* (cbrt (- z y)) (cbrt (- z y)))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
403.0ms	(cbrt (- z y))
35.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (- z y))
241.0ms	(cbrt (- z y))
245.0ms	(cbrt (- z y))
232.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

simplify792.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	974
1	294
0	135

prune899.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes518.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

639.0ms	8428×	body	80	valid
0.0ms	1×	body	640	valid