Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

281×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4706
17	4374
16	4030
15	3643
14	3174
13	2610
12	1673
11	892
10	514
9	408
8	343
7	276
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.4b	(fma t (/ (- y z) (- a z)) x)

rewrite56.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
1.0ms	(fma t (/ (- y z) (- a z)) x)

series205.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- y z) (- a z))
131.0ms	(fma t (/ (- y z) (- a z)) x)

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
3	2021
2	655
1	266
0	115

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
1.4b	(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
0.0ms	(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

series837.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (- y z))
212.0ms	(cbrt (- y z))
257.0ms	(cbrt (- y z))
141.0ms	(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

simplify2.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
4	2935
3	981
2	414
1	196
0	95

prune642.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
10.6b	(* (/ t (- a z)) (- y z))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
34×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 111

Calls

2 calls:

23.0ms	(/ t (- a z))
80.0ms	(* (/ t (- a z)) (- y z))

series345.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ t (- a z))
276.0ms	(* (/ t (- a z)) (- y z))

simplify3.0s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	4583
2	1383
1	534
0	196

prune582.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.8b	(/ t (/ (- a z) (- y z)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 200

Calls

2 calls:

44.0ms	(/ (- a z) (- y z))
56.0ms	(/ t (/ (- a z) (- y z)))

series318.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- a z) (- y z))
248.0ms	(/ t (/ (- a z) (- y z)))

simplify2.3s

Counts

206 → 206

Iterations

Iter	Nodes
done	5002
2	2766
1	739
0	276

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

685.0ms	8733×	body	80	valid
0.0ms	1×	body	160	valid