Details

sample70.0ms

Algorithm

intervals

Results

18.0ms	305×	body	80	valid
17.0ms	354×	body	80	nan

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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)))

rewrite204.0ms

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:

45.0ms	(+ (- 1.0 z) (log z))
1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
154.0ms	(* y (+ (- 1.0 z) (log z)))

series444.0ms

Counts

3 → 9

Calls

3 calls:

240.0ms	(+ (- 1.0 z) (log z))
91.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
113.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	136	897
1	336	826
2	1016	692
done	5001	690

prune388.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.2b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
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×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

49.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
18.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series2.2s

Counts

4 → 12

Calls

4 calls:

406.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
1.2s	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
281.0ms	(cbrt z)
334.0ms	(cbrt z)

simplify3.1s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	122	1064
1	292	1029
2	891	916
3	4044	660
done	5000	660

prune495.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

257.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
35.0ms	(cbrt (+ (- 1.0 z) (log z)))
44.0ms	(cbrt (+ (- 1.0 z) (log z)))
22.0ms	(cbrt (+ (- 1.0 z) (log z)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
75.0ms	(cbrt (+ (- 1.0 z) (log z)))
92.0ms	(cbrt (+ (- 1.0 z) (log z)))
82.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify1.7s

Counts

151 → 151

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	241	3528
1	645	3142
2	2072	3010
done	5000	2641

prune623.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (log z) (- 1.0 z)) y)) (cbrt (* (+ (log z) (- 1.0 z)) y)))
0.6b	(cbrt (* (+ (log z) (- 1.0 z)) y))
0.6b	(cbrt (* (+ (log z) (- 1.0 z)) y))
0.6b	(cbrt (* (+ (log z) (- 1.0 z)) y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

33.0ms	(* (cbrt (* (+ (log z) (- 1.0 z)) y)) (cbrt (* (+ (log z) (- 1.0 z)) y)))
21.0ms	(cbrt (* (+ (log z) (- 1.0 z)) y))
21.0ms	(cbrt (* (+ (log z) (- 1.0 z)) y))
33.0ms	(cbrt (* (+ (log z) (- 1.0 z)) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

373.0ms	(* (cbrt (* (+ (log z) (- 1.0 z)) y)) (cbrt (* (+ (log z) (- 1.0 z)) y)))
234.0ms	(cbrt (* (+ (log z) (- 1.0 z)) y))
203.0ms	(cbrt (* (+ (log z) (- 1.0 z)) y))
195.0ms	(cbrt (* (+ (log z) (- 1.0 z)) y))

simplify1.6s

Counts

92 → 92

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	284	3506
1	816	3209
2	2821	2994
done	5000	2808

prune671.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

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	13	17
1	15	17
done	15	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

712.0ms	9279×	body	80	nan
581.0ms	9182×	body	80	valid