Details

sample108.0ms

Algorithm

intervals

Results

22.0ms	217×	body	80	valid
20.0ms	22×	body	1280	valid
18.0ms	32×	body	640	valid
8.0ms	93×	body	80	nan
6.0ms	15×	body	320	valid
3.0ms	12×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	152	11
5	489	11
6	1976	11
done	5001	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
5.9b	(pow (/ y (+ z y)) y)

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 184

Calls

4 calls:

85.0ms	(/ (pow (/ y (+ z y)) y) y)
23.0ms	(/ y (+ z y))
96.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
20.0ms	(pow (/ y (+ z y)) y)

series734.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ (pow (/ y (+ z y)) y) y)
51.0ms	(/ y (+ z y))
117.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
365.0ms	(pow (/ y (+ z y)) y)

simplify1.8s

Counts

196 → 196

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	300	3136
1	723	2932
2	3099	2875
done	5002	2872

prune783.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(* (cbrt (+ z y)) (cbrt (+ z y)))
0.6b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.0b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
69×	`*-un-lft-identity`
61×	`unpow-prod-down`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `times-frac`
26×	`cbrt-div`
22×	`add-exp-log`
13×	`pow1` `flip3-+` `flip-+`
12×	`distribute-lft-out`
10×	`associate-/r/`
9×	`swap-sqr`
8×	`frac-times`
7×	`pow1/3` `associate-r` `associate-l` `pow-exp`
6×	`pow-unpow`
5×	`div-exp` `prod-exp`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 158

Calls

4 calls:

2.0ms	(cbrt y)
65.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
37.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
65.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt y)
274.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
399.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
421.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.8s

Counts

170 → 170

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	339	3037
1	1113	2792
2	4344	2631
done	5000	2591

prune743.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series997.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
244.0ms	(cbrt y)
397.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
98.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.4s

Counts

156 → 156

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	274	2485
1	796	2317
2	2465	2242
done	5000	2236

prune881.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (exp (- z)) y) x)
0.0b	(/ (exp (- z)) y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

41.0ms	(+ (/ (exp (- z)) y) x)
21.0ms	(/ (exp (- z)) y)

series88.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (/ (exp (- z)) y) x)
26.0ms	(/ (exp (- z)) y)

simplify629.0ms

Counts

47 → 47

Iterations

Useful iterations: done (628.0ms)

Iter	Nodes	Cost
0	87	481
1	195	457
2	713	427
done	5000	424

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample2.9s

Algorithm

intervals

Results

662.0ms	803×	body	1280	valid
601.0ms	6529×	body	80	valid
501.0ms	918×	body	640	valid
223.0ms	3077×	body	80	nan
195.0ms	552×	body	320	valid
83.0ms	277×	body	160	valid