Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	56×	body	640	valid
8.0ms	143×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
43×	`times-frac`
40×	`add-sqr-sqrt`
25×	`distribute-lft-out--`
20×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`flip--` `div-inv` `associate-/l*`
2×	`pow1` `flip3--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip-+`

Counts

2 → 69

Calls

2 calls:

12.0ms	(/ 1.0 (- x 1.0))
94.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series356.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ 1.0 (- x 1.0))
292.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.9s

Counts

75 → 75

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	144	1028
1	315	984
2	762	934
3	1775	932
done	5000	926

prune168.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/r*` `difference-of-squares`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

22.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (459.0ms)

Iter	Nodes	Cost
0	88	565
1	193	546
2	524	496
3	1726	490
done	5001	490

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
142×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
18×	`distribute-lft-out` `associate-/l*`
14×	`associate-/r/`
7×	`div-inv`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/` `add-log-exp`

Counts

1 → 130

Calls

1 calls:

56.0ms

(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify3.0s

Counts

133 → 133

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	229	2602
1	582	2427
2	1629	2363
3	4874	2362
done	5002	2362

prune458.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
16.3b	(cbrt (- (* x x) (* 1.0 1.0)))
16.3b	(cbrt (- (* x x) (* 1.0 1.0)))
16.3b	(cbrt (- (* x x) (* 1.0 1.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`cbrt-prod`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

57.0ms	(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
12.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
9.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
12.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

363.0ms	(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
240.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
230.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
267.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

simplify2.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (827.0ms)

Iter	Nodes	Cost
0	154	1741
1	359	1623
2	991	1437
3	3131	1376
done	5001	1376

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	15
1	13	14
2	19	14
3	22	14
4	24	14
5	25	14
done	25	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

404.0ms	1918×	body	640	valid
240.0ms	4265×	body	80	valid
148.0ms	1210×	body	320	valid
43.0ms	607×	body	160	valid