Details

sample54.0ms

Algorithm

intervals

Results

18.0ms	269×	body	80	nan
11.0ms	256×	body	80	valid

simplify16.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
186.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
28.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
27.0ms	(* (+ y 0.5) (log y))

series574.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (* (+ y 0.5) (log y)))
68.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
381.0ms	(* (+ y 0.5) (log y))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	172	1294
1	445	1175
2	1419	1094
done	5000	1058

prune319.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.2b	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

27.0ms	(* (log (cbrt y)) (+ y 0.5))
49.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

576.0ms	(* (log (cbrt y)) (+ y 0.5))
131.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
282.0ms	(cbrt y)
254.0ms	(cbrt y)

simplify976.0ms

Counts

81 → 81

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	157	1356
1	448	1189
2	1967	1010
done	5001	989

prune406.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (pow y 2/3))
5.9b	(pow y 2/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (pow y 2/3))
3.0ms	(pow y 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt y)
361.0ms	(cbrt (cbrt y))
294.0ms	(cbrt (pow y 2/3))
218.0ms	(pow y 2/3)

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: 4 (764.0ms)

Iter	Nodes	Cost
0	93	428
1	171	383
2	320	347
3	732	333
4	2652	328
done	5000	328

prune459.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3)))
1.0b	(* (cbrt 2/3) (cbrt 2/3))
2.9b	(pow y (* (cbrt 2/3) (cbrt 2/3)))
5.7b	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
28×	`add-sqr-sqrt`
23×	`unpow-prod-down`
20×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`add-exp-log`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-exp` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

11.0ms	(cbrt (pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3)))
21.0ms	(* (cbrt 2/3) (cbrt 2/3))
5.0ms	(pow y (* (cbrt 2/3) (cbrt 2/3)))
8.0ms	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

series1.9s

Counts

4 → 10

Calls

4 calls:

927.0ms	(cbrt (pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3)))
0.0ms	(* (cbrt 2/3) (cbrt 2/3))
410.0ms	(pow y (* (cbrt 2/3) (cbrt 2/3)))
601.0ms	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

simplify1.9s

Counts

110 → 110

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	134	1380
1	265	1165
2	693	1072
3	2045	1017
done	5001	841

prune825.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes284.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

848.0ms	7986×	body	80	nan
690.0ms	8032×	body	80	valid
1.0ms	2×	body	1280	valid