Details

sample78.0ms

Algorithm

intervals

Results

24.0ms	266×	body	80	nan
21.0ms	298×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

46.0ms	(+ (- 1.0 z) (log z))
162.0ms	(* y (+ (- 1.0 z) (log z)))

series460.0ms

Counts

2 → 6

Calls

2 calls:

331.0ms	(+ (- 1.0 z) (log z))
129.0ms	(* y (+ (- 1.0 z) (log z)))

simplify4.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	110	693
1	282	634
2	883	529
3	4510	527
done	5000	527

prune289.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (* (- 1.0 z) y) (* y (log z)))
0.3b	(* y (log z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

27.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
19.0ms	(* y (log z))

series189.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
54.0ms	(* y (log z))

simplify5.9s

Counts

53 → 53

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	102	549
1	256	488
2	695	423
3	2657	408
done	5000	407

prune212.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
0.2b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

8.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
10.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
190.0ms	(* (log (cbrt z)) y)
286.0ms	(cbrt z)
304.0ms	(cbrt z)

simplify2.5s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	102	660
1	210	635
2	659	551
3	2516	519
done	5000	519

prune482.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
5.9b	(pow z 2/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
3.0ms	(pow z 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

403.0ms	(cbrt (cbrt z))
273.0ms	(cbrt z)
242.0ms	(cbrt z)
223.0ms	(pow z 2/3)

simplify1.9s

Counts

73 → 73

Iterations

Useful iterations: 4 (841.0ms)

Iter	Nodes	Cost
0	81	384
1	150	343
2	281	316
3	660	302
4	2191	298
done	5000	298

prune476.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	33
1	31	33
done	31	33

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	9165×	body	80	valid
626.0ms	9289×	body	80	nan