Details

sample49.0ms

Algorithm

intervals

Results

24.0ms

283×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	167	10
6	222	10
7	255	10
8	289	10
9	338	10
10	450	10
11	570	10
12	624	10
13	636	10
14	638	10
done	638	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.0b	(fma (/ (- y z) (- a z)) t x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

30.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series216.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (- y z) (- a z))
119.0ms	(fma (/ (- y z) (- a z)) t x)

simplify3.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	633	808
3	1589	808
4	4605	806
done	5000	806

prune244.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
2.0b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`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`
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 → 581

Calls

4 calls:

141.0ms	(- (/ y (- a z)) (/ z (- a z)))
21.0ms	(/ y (- a z))
21.0ms	(/ z (- a z))
1.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series494.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (/ y (- a z)) (/ z (- a z)))
42.0ms	(/ y (- a z))
81.0ms	(/ z (- a z))
254.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify2.4s

Counts

593 → 593

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	570	28404
1	1227	25505
2	2588	19553
done	5000	14972

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.0b	(fma (- (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt y) (cbrt (- a z)))) (/ z (- a z))) t x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt (- a z))
20.0ms	(cbrt (- a z))
8.0ms	(cbrt (- a z))
1.0ms	(fma (- (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt y) (cbrt (- a z)))) (/ z (- a z))) t x)

series1.3s

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (- a z))
274.0ms	(cbrt (- a z))
531.0ms	(cbrt (- a z))
266.0ms	(fma (- (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt y) (cbrt (- a z)))) (/ z (- a z))) t x)

simplify2.3s

Counts

73 → 73

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	97	1032
1	198	1014
2	423	772
3	1015	723
4	2956	654
done	5000	639

prune455.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
13.6b	(/ (* (- y z) t) (- a z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

40.0ms	(* (- y z) t)
46.0ms	(/ (* (- y z) t) (- a z))

series177.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- y z) t)
128.0ms	(/ (* (- y z) t) (- a z))

simplify1.5s

Counts

61 → 61

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	105	597
1	264	576
2	1083	502
done	5000	502

prune203.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes225.0ms

Accuracy

40.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.3b

bsearch139.0ms

Steps

Iters	Range		Point
9	1.9603440090509578e-204	5.672346171144264e-199	2.588908446285731e-201
9	-1.2131285814927496e-89	-3.1293197254278247e-98	-6.012545261316455e-96

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	58
1	29	45
done	29	45

end0.0ms

sample1.2s

Algorithm

intervals

Results

539.0ms	8690×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid