Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

311×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) z))
0.0b	(* (- y x) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

14.0ms	(+ x (* (- y x) z))
32.0ms	(* (- y x) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (* (- y x) z))
40.0ms	(* (- y x) z)

simplify1.7s

Counts

39 → 39

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	504	303
3	1864	303
done	5000	303

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (- y x) z)) (cbrt (* (- y x) z)))
3.2b	(cbrt (* (- y x) z))
3.2b	(cbrt (* (- y x) z))
3.2b	(cbrt (* (- y x) z))

rewrite69.0ms

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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 72

Calls

4 calls:

37.0ms	(* (cbrt (* (- y x) z)) (cbrt (* (- y x) z)))
9.0ms	(cbrt (* (- y x) z))
13.0ms	(cbrt (* (- y x) z))
8.0ms	(cbrt (* (- y x) z))

series920.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (* (- y x) z)) (cbrt (* (- y x) z)))
223.0ms	(cbrt (* (- y x) z))
220.0ms	(cbrt (* (- y x) z))
209.0ms	(cbrt (* (- y x) z))

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	147	1322
1	336	1219
2	873	1123
3	2330	1020
done	5000	941

prune821.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite16.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

353.0ms	(* (cbrt z) (cbrt z))
293.0ms	(cbrt z)
330.0ms	(cbrt z)
289.0ms	(cbrt z)

simplify5.5s

Counts

85 → 85

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- y x) (sqrt z))
0.2b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

38.0ms	(* (- y x) (sqrt z))
77.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (- y x) (sqrt z))
39.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	85	587
1	206	469
2	633	409
3	2073	401
done	5002	401

prune183.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

453.0ms

10131×

body

valid