Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
6.0ms	237×	body	80	nan
0.0ms	1×	body	320	valid

simplify15.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (72.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	62	12
3	183	12
4	540	11
5	1053	11
6	1697	11
7	2346	11
8	2565	11
9	2683	11
10	2912	11
11	3125	11
12	3314	11
13	3546	11
14	3768	11
15	3814	11
16	3834	11
done	3834	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`prod-diff`
12×	`log-prod`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-r` `associate-l` `sum-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`associate-+l-` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
69.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
12.0ms	(* (+ y 0.5) (log y))

series368.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (* (+ y 0.5) (log y)))
54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms	(* (+ y 0.5) (log y))

simplify844.0ms

Counts

129 → 129

Iterations

Useful iterations: done (840.0ms)

Iter	Nodes	Cost
0	212	1986
1	527	1749
2	1669	1552
done	5000	1529

prune292.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `flip3-+` `associate-*l/` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `frac-add` `log1p-expm1-u`
3×	`pow1/3`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (+ y 0.5) (log (cbrt y)))
13.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

423.0ms	(* (+ y 0.5) (log (cbrt y)))
759.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
178.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify767.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	173	1530
1	506	1362
2	1952	1109
done	5000	1109

prune368.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(fma (* 2 (log (cbrt y))) (+ y 0.5) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-*l/` `log-pow`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (+ y 0.5) (log (cbrt y)))
0.0ms	(fma (* 2 (log (cbrt y))) (+ y 0.5) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.7s

Counts

4 → 12

Calls

4 calls:

433.0ms	(* (+ y 0.5) (log (cbrt y)))
871.0ms	(fma (* 2 (log (cbrt y))) (+ y 0.5) (* (+ y 0.5) (log (cbrt y))))
185.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	124	904
1	297	858
2	873	731
3	3425	655
done	5001	654

prune294.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series858.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt y)
176.0ms	(cbrt y)
234.0ms	(cbrt (cbrt y))
238.0ms	(cbrt (cbrt y))

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	46	374
1	79	356
2	151	328
3	303	316
4	853	316
5	3533	316
done	5000	316

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	18	22
done	18	22

end0.0ms

sample803.0ms

Algorithm

intervals

Results

277.0ms	8024×	body	80	valid
212.0ms	7949×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid