Details

sample243.0ms

Algorithm

intervals

Results

102.0ms	832×	body	80	nan
26.0ms	26×	body	320	valid
24.0ms	172×	body	80	valid
21.0ms	30×	body	640	valid
14.0ms	11×	body	1280	valid
5.0ms	19×	body	160	valid

simplify724.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	440
12	440
11	429
10	274
9	155
8	142
7	113
6	83
5	59
4	44
3	38
2	30
1	21
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.8b	(log (- 1.0 y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-r`
6×	`associate-l`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 90

Calls

4 calls:

61.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
22.0ms	(* z (log (- 1.0 y)))
14.0ms	(* x (log y))
7.0ms	(log (- 1.0 y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
84.0ms	(* z (log (- 1.0 y)))
47.0ms	(* x (log y))
59.0ms	(log (- 1.0 y))

simplify2.5s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
3	4815
2	1243
1	466
0	213

prune731.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- (- (log 1.0) (* y 1.0)) (/ (/ 1/2 (/ 1.0 y)) (/ 1.0 y))))
0.1b	(/ (/ 1/2 (/ 1.0 y)) (/ 1.0 y))
0.1b	(/ 1/2 (/ 1.0 y))
0.3b	(* x (log y))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

1991×	`times-frac`
892×	`add-sqr-sqrt`
861×	`*-un-lft-identity`
859×	`add-cube-cbrt`
107×	`div-inv`
47×	`associate-/l*`
34×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r*`
18×	`cbrt-undiv` `div-exp`
16×	`associate--l+` `associate-/r/`
15×	`associate-r`
12×	`log-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`difference-of-squares`
6×	`associate-l`
4×	`sub-neg` `associate-*r/` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`log-pow` `distribute-lft-out--` `associate-/l/`

Counts

4 → 796

Calls

4 calls:

179.0ms	(* z (- (- (log 1.0) (* y 1.0)) (/ (/ 1/2 (/ 1.0 y)) (/ 1.0 y))))
13.0ms	(/ (/ 1/2 (/ 1.0 y)) (/ 1.0 y))
12.0ms	(/ 1/2 (/ 1.0 y))
8.0ms	(* x (log y))

series251.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* z (- (- (log 1.0) (* y 1.0)) (/ (/ 1/2 (/ 1.0 y)) (/ 1.0 y))))
33.0ms	(/ (/ 1/2 (/ 1.0 y)) (/ 1.0 y))
23.0ms	(/ 1/2 (/ 1.0 y))
51.0ms	(* x (log y))

simplify3.1s

Counts

808 → 808

Iterations

Iter	Nodes
done	5001
1	4695
0	1405

prune6.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite12.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt y) (cbrt y))
259.0ms	(cbrt y)
316.0ms	(cbrt y)
260.0ms	(cbrt y)

simplify2.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
4	4217
3	1188
2	391
1	138
0	63

prune723.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.1b	(pow y 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt y) (cbrt y))
287.0ms	(cbrt y)
279.0ms	(cbrt y)
293.0ms	(pow y 1/3)

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
4	4357
3	1484
2	574
1	245
0	92

prune709.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes291.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.2s	24405×	body	80	nan
887.0ms	5666×	body	80	valid
506.0ms	831×	body	640	valid
438.0ms	400×	body	1280	valid
305.0ms	703×	body	320	valid
101.0ms	436×	body	160	valid