Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	66×	body	640	valid
3.0ms	135×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	15×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

11.0ms	(/ 1.0 (- x 1.0))
12.0ms	(/ 1.0 (+ x 1.0))
108.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
164.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.8s

Counts

513 → 513

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	525	24322
1	1194	21760
2	2660	16242
done	5002	12452

prune447.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
29×	`prod-diff`
27×	`add-cube-cbrt`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`diff-log`
5×	`fma-neg`
4×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `sub-neg` `flip3-+` `sum-log` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 99

Calls

2 calls:

14.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
62.0ms	(- (- x 1.0) (+ x 1.0))

series58.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	196	1915
1	492	1565
2	1869	1321
done	5000	1113

prune196.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (log (/ (exp (- 1.0)) (exp 1.0))))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
26×	`log-prod`
18×	`associate-l`
13×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`exp-prod` `associate-r`
7×	`difference-of-squares`
5×	`pow1` `log-pow`
4×	`associate-/r*` `associate-/r/` `div-inv` `pow-div`
3×	`distribute-rgt-neg-in` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 105

Calls

2 calls:

72.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (log (/ (exp (- 1.0)) (exp 1.0))))
14.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series338.0ms

Counts

2 → 6

Calls

2 calls:

286.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (log (/ (exp (- 1.0)) (exp 1.0))))
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.2s

Counts

111 → 111

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	255	2591
1	617	2430
2	1918	2124
done	5000	1935

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (log (/ (exp (- 1.0)) (exp 1.0))))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

345×	`times-frac`
305×	`*-un-lft-identity`
238×	`add-sqr-sqrt`
155×	`add-cube-cbrt`
96×	`associate-l`
37×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
28×	`associate-/r/`
26×	`log-prod`
21×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`flip3-+` `flip-+`
9×	`associate-/r*`
8×	`exp-prod` `associate-r`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`log-pow`
4×	`pow-div`
3×	`expm1-log1p-u` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

3 → 318

Calls

3 calls:

11.0ms	(/ 1.0 (+ x 1.0))
107.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (log (/ (exp (- 1.0)) (exp 1.0))))
32.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series398.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1.0 (+ x 1.0))
304.0ms	(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (log (/ (exp (- 1.0)) (exp 1.0))))
69.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.5s

Counts

327 → 327

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	460	6610
1	1190	6162
2	3467	5601
done	5000	5590

prune770.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	14	17
done	14	17

end0.0ms

sample467.0ms

Algorithm

intervals

Results

145.0ms	1862×	body	640	valid
94.0ms	4267×	body	80	valid
77.0ms	1225×	body	320	valid
26.0ms	646×	body	160	valid