Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

274×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (84.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

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:

95.0ms	(/ (- z y) (+ (- t z) 1.0))
0.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series575.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (- z y) (+ (- t z) 1.0))
492.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (743.0ms)

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

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
30×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`distribute-lft-out`
10×	`associate-/r*`
8×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`fma-udef`

Counts

3 → 88

Calls

3 calls:

59.0ms	(/ y (+ (- t z) 1.0))
54.0ms	(/ z (+ (- t z) 1.0))
0.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

series280.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ y (+ (- t z) 1.0))
73.0ms	(/ z (+ (- t z) 1.0))
149.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

simplify1.6s

Counts

97 → 97

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	142	1252
1	290	1198
2	733	1097
3	1879	1092
done	5000	1091

prune389.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (- t z) 1.0))
0.0b	(/ (+ (- t z) 1.0) z)
0.0b	(fma a (- (/ 1 (/ (+ (- t z) 1.0) z)) (/ y (+ (- t z) 1.0))) x)
0.3b	(/ 1 (/ (+ (- t z) 1.0) z))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
40×	`distribute-lft-out`
27×	`associate-/r*`
20×	`distribute-lft-out--`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`associate-+l-` `pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

4 → 191

Calls

4 calls:

59.0ms	(/ y (+ (- t z) 1.0))
93.0ms	(/ (+ (- t z) 1.0) z)
0.0ms	(fma a (- (/ 1 (/ (+ (- t z) 1.0) z)) (/ y (+ (- t z) 1.0))) x)
51.0ms	(/ 1 (/ (+ (- t z) 1.0) z))

series414.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ y (+ (- t z) 1.0))
27.0ms	(/ (+ (- t z) 1.0) z)
260.0ms	(fma a (- (/ 1 (/ (+ (- t z) 1.0) z)) (/ y (+ (- t z) 1.0))) x)
83.0ms	(/ 1 (/ (+ (- t z) 1.0) z))

simplify2.2s

Counts

203 → 203

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	255	3096
1	558	2705
2	1294	2398
3	3542	2357
done	5000	2356

prune536.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)) (cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)))
0.6b	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))
0.6b	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))
0.6b	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))

rewrite23.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

16.0ms	(* (cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)) (cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)))
1.0ms	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))
1.0ms	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))
1.0ms	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))

series2.7s

Counts

4 → 12

Calls

4 calls:

825.0ms	(* (cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)) (cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)))
635.0ms	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))
602.0ms	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))
645.0ms	(cbrt (fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	125	3439
1	295	3200
2	796	2882
3	2266	2400
done	5001	2329

prune551.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

552.0ms	8476×	body	80	valid
0.0ms	1×	body	640	valid