Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	282×	body	80	valid
13.0ms	279×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (log z) (- 1.0 z))
0.1b	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`associate-+r+`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
5×	`pow1` `add-log-exp`
4×	`fma-def` `distribute-lft-out`
3×	`associate-+l+` `log-prod` `log-pow`
2×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef`

Counts

2 → 47

Calls

2 calls:

30.0ms	(+ (log z) (- 1.0 z))
1.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

series320.0ms

Counts

2 → 6

Calls

2 calls:

251.0ms	(+ (log z) (- 1.0 z))
69.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

simplify632.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	932
1	273
0	110

prune271.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt z))
0.0b	(log (sqrt z))
0.0b	(+ (log (sqrt z)) (- 1.0 (- z (log (sqrt z)))))
0.1b	(fma y (+ (log (sqrt z)) (- 1.0 (- z (log (sqrt z))))) (* x 0.5))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
21×	`associate-+r+`
20×	`add-cube-cbrt`
19×	`pow1`
18×	`log-prod` `prod-diff` `log-pow`
16×	`distribute-lft-out--`
9×	`sqrt-prod` `add-log-exp`
8×	`distribute-lft-out`
6×	`associate-+l+` `fma-def` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sum-log` `sqrt-pow1` `pow1/2` `diff-log` `difference-of-squares`
2×	`rem-log-exp`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `flip-+` `fma-udef` `associate--r-`

Counts

4 → 105

Calls

4 calls:

3.0ms	(log (sqrt z))
3.0ms	(log (sqrt z))
95.0ms	(+ (log (sqrt z)) (- 1.0 (- z (log (sqrt z)))))
0.0ms	(fma y (+ (log (sqrt z)) (- 1.0 (- z (log (sqrt z))))) (* x 0.5))

series465.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(log (sqrt z))
91.0ms	(log (sqrt z))
91.0ms	(+ (log (sqrt z)) (- 1.0 (- z (log (sqrt z)))))
178.0ms	(fma y (+ (log (sqrt z)) (- 1.0 (- z (log (sqrt z))))) (* x 0.5))

simplify844.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1573
1	397
0	163

prune762.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite22.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

16.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt z) (cbrt z))
246.0ms	(cbrt z)
288.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune571.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (+ (log (pow (pow z 2/3) 1)) (+ (log (cbrt z)) (- 1.0 z))) (* x 0.5))
0.2b	(+ (log (pow (pow z 2/3) 1)) (+ (log (cbrt z)) (- 1.0 z)))
0.7b	(cbrt z)
5.9b	(pow z 2/3)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
18×	`distribute-lft-out`
13×	`unpow-prod-down`
11×	`add-sqr-sqrt` `associate-+l+` `log-prod` `add-cube-cbrt`
10×	`log-pow`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-log` `add-exp-log`
4×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`associate-+r-`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `flip-+` `fma-udef`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma y (+ (log (pow (pow z 2/3) 1)) (+ (log (cbrt z)) (- 1.0 z))) (* x 0.5))
57.0ms	(+ (log (pow (pow z 2/3) 1)) (+ (log (cbrt z)) (- 1.0 z)))
1.0ms	(cbrt z)
2.0ms	(pow z 2/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

197.0ms	(fma y (+ (log (pow (pow z 2/3) 1)) (+ (log (cbrt z)) (- 1.0 z))) (* x 0.5))
682.0ms	(+ (log (pow (pow z 2/3) 1)) (+ (log (cbrt z)) (- 1.0 z)))
581.0ms	(cbrt z)
272.0ms	(pow z 2/3)

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	2558
1	527
0	182

prune658.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes506.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

802.0ms	9218×	body	80	valid
634.0ms	9093×	body	80	nan