Details

sample80.0ms

Algorithm

intervals

Results

24.0ms	293×	body	80	valid
20.0ms	307×	body	80	nan

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	275
1	25	275
2	51	275
3	93	275
4	198	275
5	394	275
6	673	275
7	986	275
8	1453	275
9	2180	275
10	3118	275
11	3616	275
12	3979	275
13	4355	275
14	4712	275
done	5000	275

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

32.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
44.0ms	(+ (- 1.0 z) (log z))
103.0ms	(* y (+ (- 1.0 z) (log z)))

series524.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
290.0ms	(+ (- 1.0 z) (log z))
117.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	126	18780
1	362	17229
2	1478	16718
done	5000	16638

prune367.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)))

rewrite214.0ms

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×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

149.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
22.0ms	(cbrt (+ (- 1.0 z) (log z)))
14.0ms	(cbrt (+ (- 1.0 z) (log z)))
19.0ms	(cbrt (+ (- 1.0 z) (log z)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
82.0ms	(cbrt (+ (- 1.0 z) (log z)))
65.0ms	(cbrt (+ (- 1.0 z) (log z)))
81.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify3.9s

Counts

143 → 143

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	237	77469
1	651	61753
2	2079	61193
done	5000	59913

prune864.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

366×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
44×	`associate-l/` `associate-r/`
35×	`*-un-lft-identity`
29×	`cbrt-prod`
17×	`pow1`
15×	`add-sqr-sqrt`
12×	`distribute-lft-out`
11×	`add-cube-cbrt`
9×	`pow1/3`
6×	`add-exp-log` `log-pow` `distribute-lft-out--`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 165

Calls

4 calls:

14.0ms	(cbrt (+ (- 1.0 z) (log z)))
18.0ms	(cbrt (+ (- 1.0 z) (log z)))
27.0ms	(cbrt (+ (- 1.0 z) (log z)))
74.0ms	(* (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))) (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(cbrt (+ (- 1.0 z) (log z)))
82.0ms	(cbrt (+ (- 1.0 z) (log z)))
79.0ms	(cbrt (+ (- 1.0 z) (log z)))
138.0ms	(* (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))) (cbrt (* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))))

simplify5.5s

Counts

177 → 177

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	416	191506
1	928	157317
2	2751	156997
done	5009	155607

prune1.7s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.5b	(* (log z) (log z))
5.0b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
10.3b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 149

Calls

4 calls:

55.0ms	(* (- 1.0 z) (- 1.0 z))
14.0ms	(* (log z) (log z))
67.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
108.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (- 1.0 z) (- 1.0 z))
232.0ms	(* (log z) (log z))
143.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
365.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify3.8s

Counts

161 → 161

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	280	51844
1	846	44037
2	3492	42303
done	5011	42063

prune911.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes718.0ms

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	11	275
1	15	275
done	15	275

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	9177×	body	80	valid
608.0ms	9151×	body	80	nan