Details

sample123.0ms

Algorithm

intervals

Results

48.0ms	792×	body	80	nan
31.0ms	256×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (97.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`associate--l+`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
27×	`log-prod` `prod-diff`
22×	`associate-+l+`
17×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `fma-def`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

11.0ms	(- (* x (log y)) y)
252.0ms	(+ (- (- (* x (log y)) y) z) (log t))
85.0ms	(- (- (* x (log y)) y) z)
19.0ms	(* x (log y))

series213.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x (log y)) y)
51.0ms	(+ (- (- (* x (log y)) y) z) (log t))
36.0ms	(- (- (* x (log y)) y) z)
52.0ms	(* x (log y))

simplify1.3s

Counts

154 → 154

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	220	1823
1	496	1557
2	1215	1375
done	5000	1268

prune588.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite27.0ms

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:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt y) (cbrt y))
279.0ms	(cbrt y)
285.0ms	(cbrt y)
275.0ms	(cbrt y)

simplify4.9s

Counts

93 → 93

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune515.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma 2 (log (cbrt t)) (fma (log y) x (- (+ y z)))) (log (cbrt t)))
0.1b	(fma (log y) x (- (+ y z)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/3` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `log-pow` `flip-+`

Counts

4 → 61

Calls

4 calls:

13.0ms	(+ (fma 2 (log (cbrt t)) (fma (log y) x (- (+ y z)))) (log (cbrt t)))
0.0ms	(fma (log y) x (- (+ y z)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series936.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(+ (fma 2 (log (cbrt t)) (fma (log y) x (- (+ y z)))) (log (cbrt t)))
47.0ms	(fma (log y) x (- (+ y z)))
291.0ms	(cbrt t)
361.0ms	(cbrt t)

simplify3.0s

Counts

73 → 73

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	101	844
1	211	822
2	568	748
3	2553	615
done	5001	613

prune486.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

18.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
4.0ms	(cbrt (* x (log y)))
4.0ms	(cbrt (* x (log y)))
4.0ms	(cbrt (* x (log y)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
162.0ms	(cbrt (* x (log y)))
165.0ms	(cbrt (* x (log y)))
156.0ms	(cbrt (* x (log y)))

simplify3.7s

Counts

78 → 78

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	93	821
1	192	743
2	439	655
3	1113	561
4	3871	504
done	5000	504

prune325.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes258.0ms

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	15	21
1	19	21
done	19	21

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.4s	24067×	body	80	nan
809.0ms	8030×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid