Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	258×	body	80	valid
9.0ms	13×	body	640	valid
2.0ms	9×	body	320	valid
2.0ms	7×	body	1280	valid
0.0ms	3×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	11	245
1	20	245
2	45	245
3	116	220
4	326	220
5	978	220
6	3818	220
done	5000	220

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.5b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

46.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series269.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (- y z) (- a z))
184.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	116	18590
1	271	17666
2	860	17586
3	4622	17506
done	5000	17506

prune606.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
2.2b	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

10.0ms	(/ 1 (- a z))
62.0ms	(* (- y z) (/ 1 (- a z)))
0.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series291.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 1 (- a z))
72.0ms	(* (- y z) (/ 1 (- a z)))
174.0ms	(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify4.4s

Counts

114 → 114

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	152	26902
1	363	21515
2	2819	19629
done	5001	19458

prune684.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize61.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (* (* (cbrt (* (- y z) (/ 1 (- a z)))) (cbrt (* (- y z) (/ 1 (- a z))))) (cbrt (* (- y z) (/ 1 (- a z))))) (- t x) x)
5.0b	(cbrt (* (- y z) (/ 1 (- a z))))
5.0b	(cbrt (* (- y z) (/ 1 (- a z))))
5.0b	(cbrt (* (- y z) (/ 1 (- a z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
6×	`frac-times` `flip3--` `associate-*l/` `flip--`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-*r/` `un-div-inv`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (* (- y z) (/ 1 (- a z)))) (cbrt (* (- y z) (/ 1 (- a z))))) (cbrt (* (- y z) (/ 1 (- a z))))) (- t x) x)
13.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
14.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
13.0ms	(cbrt (* (- y z) (/ 1 (- a z))))

series1.5s

Counts

4 → 12

Calls

4 calls:

193.0ms	(fma (* (* (cbrt (* (- y z) (/ 1 (- a z)))) (cbrt (* (- y z) (/ 1 (- a z))))) (cbrt (* (- y z) (/ 1 (- a z))))) (- t x) x)
453.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
441.0ms	(cbrt (* (- y z) (/ 1 (- a z))))
402.0ms	(cbrt (* (- y z) (/ 1 (- a z))))

simplify2.1s

Counts

73 → 73

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	113	31573
1	239	28387
2	726	26297
3	3854	23642
done	5000	23517

prune689.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(* (cbrt (- y z)) (cbrt (- y z)))
6.6b	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
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` `fma-udef`

Counts

4 → 102

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
62.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
1.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

series890.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (- y z))
205.0ms	(cbrt (- y z))
219.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
216.0ms	(fma (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x) x)

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	159	37632
1	342	32668
2	1133	32447
done	5000	29882

prune981.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.3b

regimes913.0ms

Accuracy

34.4% (5.3b remaining)

Error of 8.9b against oracle of 3.7b and baseline of 11.7b

bsearch2.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	818
1	33	818
done	33	818

end0.0ms

sample1.7s

Algorithm

intervals

Results

979.0ms	7794×	body	80	valid
154.0ms	489×	body	640	valid
66.0ms	286×	body	1280	valid
57.0ms	395×	body	320	valid
24.0ms	248×	body	160	valid
6.0ms	16×	body	2560	valid