Details

sample95.0ms

Algorithm

intervals

Results

31.0ms	272×	body	80	nan
22.0ms	260×	body	80	valid

simplify31.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (202.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

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:

187.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
12.0ms	(- x (* (+ y 0.5) (log y)))
45.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
35.0ms	(* (+ y 0.5) (log y))

series544.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
49.0ms	(- x (* (+ y 0.5) (log y)))
50.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
385.0ms	(* (+ y 0.5) (log y))

simplify2.0s

Counts

129 → 129

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	212	1986
1	537	1749
2	1734	1552
done	5001	1466

prune443.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.4b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite106.0ms

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:

38.0ms	(* (+ y 0.5) (log (cbrt y)))
59.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.6s

Counts

4 → 12

Calls

4 calls:

729.0ms	(* (+ y 0.5) (log (cbrt y)))
1.3s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
268.0ms	(cbrt y)
272.0ms	(cbrt y)

simplify2.0s

Counts

107 → 107

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	173	1530
1	513	1362
2	2138	1145
done	5002	1113

prune665.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (+ y 0.5) (fma 2/3 (log y) (log (sqrt (cbrt y))))) (* (+ y 0.5) (log (sqrt (cbrt y)))))
0.3b	(fma 2/3 (log y) (log (sqrt (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-+r+` `log-prod`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-*l/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-add` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-udef`
2×	`associate-+l+` `pow1/3`
1×	`+-commutative` `fma-def` `sum-log` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

43.0ms	(+ (* (+ y 0.5) (fma 2/3 (log y) (log (sqrt (cbrt y))))) (* (+ y 0.5) (log (sqrt (cbrt y)))))
1.0ms	(fma 2/3 (log y) (log (sqrt (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series4.9s

Counts

4 → 12

Calls

4 calls:

3.4s	(+ (* (+ y 0.5) (fma 2/3 (log y) (log (sqrt (cbrt y))))) (* (+ y 0.5) (log (sqrt (cbrt y)))))
747.0ms	(fma 2/3 (log y) (log (sqrt (cbrt y))))
325.0ms	(cbrt y)
381.0ms	(cbrt y)

simplify2.0s

Counts

87 → 87

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	206	1551
1	594	1321
2	1927	1162
done	5000	1110

prune708.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (log (cbrt y)) (* (log y) (fma y 2/3 0.3333333333333333)))
0.2b	(fma y 2/3 0.3333333333333333)
0.4b	(* (log y) (fma y 2/3 0.3333333333333333))
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

1.0ms	(fma y (log (cbrt y)) (* (log y) (fma y 2/3 0.3333333333333333)))
1.0ms	(fma y 2/3 0.3333333333333333)
17.0ms	(* (log y) (fma y 2/3 0.3333333333333333))
2.0ms	(cbrt y)

series2.0s

Counts

4 → 12

Calls

4 calls:

1.2s	(fma y (log (cbrt y)) (* (log y) (fma y 2/3 0.3333333333333333)))
55.0ms	(fma y 2/3 0.3333333333333333)
469.0ms	(* (log y) (fma y 2/3 0.3333333333333333))
341.0ms	(cbrt y)

simplify2.3s

Counts

68 → 68

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	112	674
1	228	644
2	651	553
3	2247	491
done	5002	486

prune420.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes330.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

607.0ms	8038×	body	80	valid
593.0ms	7987×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid