Details

sample91.0ms

Algorithm

intervals

Results

26.0ms	306×	body	80	valid
24.0ms	353×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3816
6	2185
5	878
4	312
3	107
2	51
1	25
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
8×	`pow1` `distribute-lft-out`
7×	`add-sqr-sqrt` `associate-r`
5×	`add-cube-cbrt` `add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `associate-l`
2×	`associate-+l+` `sum-log` `flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

36.0ms	(+ (- 1.0 z) (log z))
68.0ms	(* y (+ (- 1.0 z) (log z)))

series393.0ms

Counts

2 → 6

Calls

2 calls:

295.0ms	(+ (- 1.0 z) (log z))
99.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1172
1	259
0	95

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt y) (cbrt y))
342.0ms	(cbrt y)
240.0ms	(cbrt y)
281.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune452.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize63.0ms

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) (cbrt y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
6.0ms	(cbrt (* (cbrt y) (cbrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt y)
246.0ms	(cbrt y)
363.0ms	(cbrt (cbrt y))
396.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify808.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1163
2	324
1	112
0	58

prune330.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 z) (log z))
0.3b	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
5.9b	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
10.7b	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

rewrite618.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
26×	`distribute-lft-out--`
22×	`associate-*r/`
21×	`pow1`
20×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
14×	`sub-neg` `associate--l+`
12×	`frac-times`
11×	`flip3--` `flip--`
10×	`associate-l` `log-pow` `add-cube-cbrt`
9×	`flip3-+` `associate-r` `flip-+`
8×	`associate-/r*` `times-frac` `associate-/l/`
7×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`associate-*l/`
4×	`pow-prod-down` `distribute-lft-out` `difference-of-squares`
3×	`cbrt-undiv` `log-prod` `diff-log` `div-exp` `associate--r+`
2×	`associate-/r/` `*-commutative`
1×	`associate--l-` `clear-num` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

44.0ms	(- (- 1.0 z) (log z))
182.0ms	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
147.0ms	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
237.0ms	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

series832.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(- (- 1.0 z) (log z))
56.0ms	(* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))
427.0ms	(* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z))))
114.0ms	(/ (* y (* (+ (- 1.0 z) (log z)) (- (- 1.0 z) (log z)))) (- (- 1.0 z) (log z)))

simplify1.0s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
1	760
0	239

prune860.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes531.0ms

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	15
1	15
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

769.0ms	9260×	body	80	valid
555.0ms	9190×	body	80	nan