Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	297×	body	80	valid
7.0ms	261×	body	80	nan

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5
done	2161	5

prune5.0ms

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)))

rewrite125.0ms

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:

33.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
89.0ms	(* y (+ (- 1.0 z) (log z)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(+ (- 1.0 z) (log z))
56.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	468
1	1466	370
2	5001	366
done	5001	366

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series737.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt y) (cbrt y))
185.0ms	(cbrt y)
178.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify89.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune295.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.7b	(cbrt (* (cbrt y) (cbrt y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

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

series894.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
180.0ms	(cbrt y)
247.0ms	(cbrt (cbrt y))
287.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify105.0ms

Counts

65 → 65

Iterations

Useful iterations: 4 (102.0ms)

Iter	Nodes	Cost
0	112	239
1	242	219
2	759	209
3	3150	209
4	5002	204
done	5002	204

prune276.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.6b	(* (log z) (log z))
5.1b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
8.4b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite252.0ms

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:

39.0ms	(* (- 1.0 z) (- 1.0 z))
10.0ms	(* (log z) (log z))
88.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
105.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (- 1.0 z) (- 1.0 z))
156.0ms	(* (log z) (log z))
87.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
223.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify141.0ms

Counts

225 → 225

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	959	2547
1	4992	1920
2	5001	1920
done	5001	1920

prune405.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5
done	12	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

325.0ms	9127×	body	80	valid
244.0ms	8983×	body	80	nan