Details

sample63.0ms

Algorithm

intervals

Results

30.0ms

330×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 8 (2.2s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	95	17
4	154	17
5	224	17
6	349	17
7	755	17
8	2611	15
done	5000	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.0b	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.1b	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

160.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
37.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
89.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series223.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
47.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
71.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (987.0ms)

Iter	Nodes	Cost
0	133	1266
1	354	1207
2	1028	1119
3	3318	1101
done	5000	1101

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
0.0b	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.2b	(* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-add`
18×	`add-sqr-sqrt` `associate-*l/`
13×	`associate-r`
12×	`add-exp-log` `*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
8×	`frac-times` `add-cbrt-cube`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`pow1` `flip3--` `flip--`
4×	`prod-exp`
3×	`associate-l` `unswap-sqr`
2×	`+-commutative` `associate-*r/` `div-exp` `sum-log` `un-div-inv` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

3 → 78

Calls

3 calls:

55.0ms	(+ (* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
19.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
104.0ms	(* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t))

series165.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
42.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
64.0ms	(* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t))

simplify1.3s

Counts

87 → 87

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	199	2066
1	541	1827
2	1675	1697
done	5000	1637

prune324.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite32.0ms

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:

24.0ms	(* (cbrt t) (cbrt t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt t) (cbrt t))
282.0ms	(cbrt t)
270.0ms	(cbrt t)
248.0ms	(cbrt t)

simplify4.6s

Counts

85 → 85

Iterations

Useful iterations: done (4.6s)

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

prune407.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))
0.7b	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.7b	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
0.7b	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
30×	`associate-*l/`
26×	`frac-add`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`frac-times`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`associate-*r/` `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 → 109

Calls

4 calls:

210.0ms	(* (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))
29.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
38.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
29.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))) (cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z))))
148.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
186.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))
198.0ms	(cbrt (+ (* (- 1.0 t) 2.0) (/ 2.0 z)))

simplify1.9s

Counts

121 → 121

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	209	3879
1	438	3658
2	1093	3470
3	2972	3044
done	5001	2968

prune634.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes219.0ms

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	13	15
1	16	15
done	16	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s

10536×

body

valid