Details

sample104.0ms

Algorithm

intervals

Results

40.0ms	746×	body	80	nan
11.0ms	193×	body	80	valid
9.0ms	28×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	5×	body	1280	valid
1.0ms	11×	body	160	valid

simplify10.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	17
1	27	16
2	56	16
3	102	16
4	240	16
5	580	16
6	1338	16
7	3078	16
8	4495	16
9	4752	16
10	4827	16
done	4827	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- x 1.0) (log y))
6.4b	(log (- 1.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`log-prod` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1`
5×	`add-exp-log` `associate-l`
4×	`associate-r` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `log-div` `flip3--` `associate-*l/` `log-pow` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

11.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series101.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (- x 1.0) (log y))
42.0ms	(log (- 1.0 y))

simplify2.5s

Counts

55 → 55

Iterations

Useful iterations: 3 (347.0ms)

Iter	Nodes	Cost
0	135	548
1	285	517
2	922	465
3	4048	460
done	5000	460

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b	(* (- x 1.0) (log y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
80×	`times-frac`
78×	`add-cube-cbrt` `associate-r`
56×	`unpow-prod-down`
48×	`prod-diff`
40×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-+r+`
31×	`add-exp-log`
27×	`flip3--` `flip--`
24×	`pow1` `log-prod` `associate-*l/` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`frac-add`
14×	`log-pow`
13×	`associate-l` `add-cbrt-cube`
12×	`frac-times` `prod-exp` `associate--l+`
9×	`div-exp`
7×	`associate-*r/`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
3×	`pow-prod-down` `*-commutative` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 280

Calls

4 calls:

27.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
28.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
15.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
11.0ms	(* (- x 1.0) (log y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
53.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
149.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
59.0ms	(* (- x 1.0) (log y))

simplify501.0ms

Counts

292 → 292

Iterations

Useful iterations: done (490.0ms)

Iter	Nodes	Cost
0	570	9330
1	1496	7318
done	5001	7084

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series720.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt y) (cbrt y))
173.0ms	(cbrt y)
169.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (292.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune477.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite31.0ms

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×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

2.0ms	(cbrt (- z 1.0))
2.0ms	(cbrt (- z 1.0))
2.0ms	(cbrt (- z 1.0))
21.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- z 1.0))
98.0ms	(cbrt (- z 1.0))
99.0ms	(cbrt (- z 1.0))
129.0ms	(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify2.5s

Counts

121 → 121

Iterations

Useful iterations: 3 (637.0ms)

Iter	Nodes	Cost
0	171	1613
1	389	1464
2	1365	1384
3	4969	1286
done	5000	1286

prune595.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes300.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	39
1	29	39
done	29	39

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	24277×	body	80	nan
346.0ms	5914×	body	80	valid
243.0ms	760×	body	640	valid
162.0ms	255×	body	1280	valid
130.0ms	659×	body	320	valid
53.0ms	446×	body	160	valid