Details

sample87.0ms

Algorithm

intervals

Results

25.0ms	306×	body	80	valid
19.0ms	292×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	124	11
4	355	11
5	1056	11
6	2596	11
7	4834	11
done	5000	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite205.0ms

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

Counts

3 → 76

Calls

3 calls:

68.0ms	(+ (- 1.0 z) (log z))
1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
133.0ms	(* y (+ (- 1.0 z) (log z)))

series430.0ms

Counts

3 → 9

Calls

3 calls:

245.0ms	(+ (- 1.0 z) (log z))
91.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
95.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	136	897
1	362	831
2	1487	702
done	5001	697

prune312.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt y) (cbrt y))
289.0ms	(cbrt y)
243.0ms	(cbrt y)
246.0ms	(cbrt y)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune317.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.5b	(* (log z) (log z))
6.5b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
7.8b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
61×	`distribute-rgt-in` `distribute-lft-in`
56×	`prod-diff`
54×	`add-cube-cbrt`
44×	`associate--l+`
30×	`pow1`
18×	`distribute-lft-out--`
15×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r`
12×	`associate-l`
10×	`log-pow`
9×	`flip3--` `flip--`
8×	`sub-neg` `times-frac` `associate-/r*`
7×	`difference-of-squares`
6×	`log-prod` `associate-*r/`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 213

Calls

4 calls:

59.0ms	(* (- 1.0 z) (- 1.0 z))
10.0ms	(* (log z) (log z))
99.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
139.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- 1.0 z) (- 1.0 z))
222.0ms	(* (log z) (log z))
120.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
295.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify973.0ms

Counts

225 → 225

Iterations

Useful iterations: done (962.0ms)

Iter	Nodes	Cost
0	392	4993
1	1195	4168
done	5000	3607

prune655.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
6.5b	(* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log (cbrt z)) (log z)))))
7.8b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log (cbrt z)) (log z))))) (- (- 1.0 z) (log z)))

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
49×	`distribute-rgt-in` `distribute-lft-in`
44×	`associate-*r/` `associate--l+`
43×	`add-sqr-sqrt`
42×	`prod-diff`
36×	`add-cube-cbrt`
32×	`frac-sub`
27×	`flip3--` `flip--`
18×	`associate-/l/`
16×	`frac-times` `flip3-+` `flip-+`
12×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
8×	`times-frac` `associate-l/` `associate-/r`
6×	`cbrt-prod` `sub-neg`
4×	`expm1-log1p-u` `associate-r` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
319.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log (cbrt z)) (log z)))))
267.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log (cbrt z)) (log z))))) (- (- 1.0 z) (log z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

535.0ms	(cbrt z)
250.0ms	(cbrt z)
217.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log (cbrt z)) (log z)))))
331.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (+ (* (log z) (* 2 (log (cbrt z)))) (* (log (cbrt z)) (log z))))) (- (- 1.0 z) (log z)))

simplify705.0ms

Counts

184 → 184

Iterations

Useful iterations: done (697.0ms)

Iter	Nodes	Cost
0	500	7800
1	1624	6762
done	5001	6240

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

684.0ms	9159×	body	80	valid
550.0ms	9112×	body	80	nan