Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

269×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	187	12
5	305	12
6	478	12
7	702	12
8	1002	12
9	1286	12
10	1422	12
11	1461	12
12	1466	12
done	1466	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.1b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

82.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series220.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (- z y) (+ (- t z) 1.0))
140.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 3 (799.0ms)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	772	940
3	2413	936
done	5000	936

prune282.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
0.0b	(/ z (+ (- t z) 1.0))
0.0b	(/ y (+ (- t z) 1.0))
0.1b	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

rewrite666.0ms

Algorithm

rewrite-expression-head

Rules

1156×	`*-un-lft-identity`
701×	`times-frac`
441×	`prod-diff`
425×	`add-sqr-sqrt`
413×	`add-cube-cbrt`
286×	`distribute-lft-out`
155×	`distribute-lft-out--`
94×	`associate-/r/`
47×	`flip3-+` `flip-+` `div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `fma-udef` `sub-div`

Counts

4 → 585

Calls

4 calls:

468.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
58.0ms	(/ z (+ (- t z) 1.0))
44.0ms	(/ y (+ (- t z) 1.0))
1.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

series518.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
75.0ms	(/ z (+ (- t z) 1.0))
60.0ms	(/ y (+ (- t z) 1.0))
189.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

simplify2.3s

Counts

597 → 597

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	465	33808
1	1041	29892
2	2379	22788
done	5002	17234

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- t (- z 1.0))) (/ y (- t (- z 1.0))))
0.0b	(/ z (- t (- z 1.0)))
0.0b	(/ y (- t (- z 1.0)))
0.1b	(fma a (* 1 (- (/ z (- t (- z 1.0))) (/ y (- t (- z 1.0))))) x)

rewrite672.0ms

Algorithm

rewrite-expression-head

Rules

1353×	`*-un-lft-identity`
946×	`times-frac`
844×	`add-sqr-sqrt`
576×	`prod-diff`
518×	`add-cube-cbrt`
496×	`distribute-lft-out--`
161×	`difference-of-squares`
106×	`associate-/r/`
54×	`flip3--` `flip--`
53×	`div-inv`
24×	`fma-neg`
12×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 732

Calls

4 calls:

461.0ms	(- (/ z (- t (- z 1.0))) (/ y (- t (- z 1.0))))
41.0ms	(/ z (- t (- z 1.0)))
34.0ms	(/ y (- t (- z 1.0)))
1.0ms	(fma a (* 1 (- (/ z (- t (- z 1.0))) (/ y (- t (- z 1.0))))) x)

series634.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(- (/ z (- t (- z 1.0))) (/ y (- t (- z 1.0))))
79.0ms	(/ z (- t (- z 1.0)))
77.0ms	(/ y (- t (- z 1.0)))
203.0ms	(fma a (* 1 (- (/ z (- t (- z 1.0))) (/ y (- t (- z 1.0))))) x)

simplify3.3s

Counts

744 → 744

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	595	44823
1	1316	40143
2	2915	30960
done	5000	23200

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (cbrt (- t (- z 1.0))))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (- t (- z 1.0)))
0.4b	(cbrt (- t (- z 1.0)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
41×	`cbrt-prod`
37×	`add-sqr-sqrt`
27×	`times-frac`
25×	`add-cube-cbrt`
19×	`distribute-lft-out--`
9×	`associate-/r*`
8×	`cbrt-div`
6×	`add-exp-log` `difference-of-squares`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `associate-/l*`
2×	`associate-/r/` `distribute-lft-out`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 108

Calls

4 calls:

58.0ms	(/ y (cbrt (- t (- z 1.0))))
32.0ms	(cbrt (+ (- t z) 1.0))
15.0ms	(cbrt (- t (- z 1.0)))
15.0ms	(cbrt (- t (- z 1.0)))

series817.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(/ y (cbrt (- t (- z 1.0))))
157.0ms	(cbrt (+ (- t z) 1.0))
166.0ms	(cbrt (- t (- z 1.0)))
204.0ms	(cbrt (- t (- z 1.0)))

simplify2.6s

Counts

120 → 120

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	209	1768
1	444	1677
2	1080	1605
3	2948	1505
done	5000	1471

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes278.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	20
1	17	18
done	17	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

645.0ms	8455×	body	80	valid
1.0ms	2×	body	640	valid