Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

350×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	50	8
4	87	8
5	129	8
6	165	8
7	180	8
8	208	8
9	258	8
10	376	8
11	553	8
12	613	8
13	684	8
14	809	8
15	1067	8
16	1399	8
17	2029	8
18	2664	8
19	2761	8
20	2767	8
done	2767	8

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
6.9b	(fma (/ (- y x) t) z x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

9.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y x) t)
42.0ms	(fma (/ (- y x) t) z x)

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: 4 (691.0ms)

Iter	Nodes	Cost
0	93	570
1	194	548
2	433	512
3	1085	497
4	3093	496
done	5001	496

prune155.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
6.7b	(/ (- y x) (/ t z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

59.0ms	(+ (/ (- y x) (/ t z)) x)
12.0ms	(/ (- y x) (/ t z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (/ (- y x) (/ t z)) x)
52.0ms	(/ (- y x) (/ t z))

simplify1.1s

Counts

194 → 194

Iterations

Useful iterations: 2 (542.0ms)

Iter	Nodes	Cost
0	221	1932
1	615	1810
2	1796	1704
done	5001	1704

prune530.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
2.2b	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/l/`
7×	`times-frac`
6×	`flip3--` `flip--`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
16.0ms	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

series759.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt z)
184.0ms	(cbrt z)
184.0ms	(cbrt z)
201.0ms	(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

simplify769.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	189	1789
1	526	1678
2	2028	1269
done	5001	1269

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (/ (/ t z) (- y x))) x)
0.4b	(/ 1 (/ (/ t z) (- y x)))
6.7b	(/ (/ t z) (- y x))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

1315×	`times-frac`
759×	`*-un-lft-identity`
756×	`add-sqr-sqrt`
546×	`add-cube-cbrt`
218×	`fma-def`
105×	`distribute-lft-out--` `difference-of-squares`
76×	`associate-/r*`
52×	`div-inv`
29×	`add-exp-log`
18×	`div-exp` `associate-/r/`
17×	`add-cbrt-cube`
16×	`associate-/l*`
9×	`cbrt-undiv`
8×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 649

Calls

3 calls:

162.0ms	(+ (/ 1 (/ (/ t z) (- y x))) x)
26.0ms	(/ 1 (/ (/ t z) (- y x)))
9.0ms	(/ (/ t z) (- y x))

series144.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (/ 1 (/ (/ t z) (- y x))) x)
56.0ms	(/ 1 (/ (/ t z) (- y x)))
50.0ms	(/ (/ t z) (- y x))

simplify2.4s

Counts

658 → 658

Iterations

Useful iterations: 2 (1.7s)

Iter	Nodes	Cost
0	581	8603
1	1440	7643
2	3752	6539
done	5001	6539

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes134.0ms

Accuracy

38.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	53
1	26	42
done	26	42

end0.0ms

sample555.0ms

Algorithm

intervals

Results

286.0ms

10762×

body

valid