Details

sample101.0ms

Algorithm

intervals

Results

37.0ms	287×	body	80	valid
22.0ms	346×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4526
6	2495
5	1087
4	364
3	123
2	57
1	26
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

16.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
43.0ms	(+ (- 1.0 z) (log z))
74.0ms	(* y (+ (- 1.0 z) (log z)))

series454.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
235.0ms	(+ (- 1.0 z) (log z))
96.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1846
1	418
0	143

prune461.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
19.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.1s	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
431.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
314.0ms	(cbrt z)
349.0ms	(cbrt z)

simplify805.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1330
1	313
0	122

prune630.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (fma -1 (- (log z)) (- 1.0 z))))
0.0b	(fma -1 (- (log z)) (- 1.0 z))
0.2b	(* y (fma -1 (- (log z)) (- 1.0 z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

6.0ms	(+ (* x 0.5) (* y (fma -1 (- (log z)) (- 1.0 z))))
0.0ms	(fma -1 (- (log z)) (- 1.0 z))
7.0ms	(* y (fma -1 (- (log z)) (- 1.0 z)))

series570.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ (* x 0.5) (* y (fma -1 (- (log z)) (- 1.0 z))))
327.0ms	(fma -1 (- (log z)) (- 1.0 z))
144.0ms	(* y (fma -1 (- (log z)) (- 1.0 z)))

simplify677.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	1067
1	288
0	105

prune329.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(log (* (cbrt (- z)) (cbrt -1)))
0.3b	(fma (log (* (cbrt (- z)) (cbrt -1))) (* y 3) (* y (- 1.0 z)))
0.6b	(cbrt (- z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`cbrt-prod`
9×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `associate-l` `pow-prod-down` `log-pow`
2×	`sub-neg` `rem-log-exp` `prod-exp` `associate-*r/`
1×	`log-prod` `neg-mul-1` `flip3--` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

26.0ms	(* y (- 1.0 z))
7.0ms	(log (* (cbrt (- z)) (cbrt -1)))
0.0ms	(fma (log (* (cbrt (- z)) (cbrt -1))) (* y 3) (* y (- 1.0 z)))
2.0ms	(cbrt (- z))

series1.2s

Counts

4 → 12

Calls

4 calls:

52.0ms	(* y (- 1.0 z))
496.0ms	(log (* (cbrt (- z)) (cbrt -1)))
337.0ms	(fma (log (* (cbrt (- z)) (cbrt -1))) (* y 3) (* y (- 1.0 z)))
318.0ms	(cbrt (- z))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1332
1	375
0	177

prune538.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes437.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample2.2s

Algorithm

intervals

Results

768.0ms	9138×	body	80	valid
611.0ms	9116×	body	80	nan