Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

323×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
6.1b	(/ (* (- y x) z) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

10.0ms	(* (- y x) z)
6.0ms	(/ (* (- y x) z) t)

series72.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- y x) z)
44.0ms	(/ (* (- y x) z) t)

simplify30.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	224	215
1	935	176
2	5001	176

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

7.2b	(/ (- y x) (/ t z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `add-log-exp`

Counts

1 → 101

Calls

1 calls:

11.0ms

(/ (- y x) (/ t z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (- y x) (/ t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	540	857
1	1994	820
2	5001	819

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

7.2b	(* (- y x) (/ z t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`pow1`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 38

Calls

1 calls:

15.0ms

(* (- y x) (/ z t))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (- y x) (/ z t))

simplify30.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	237	215
1	1031	194
2	5001	188

prune82.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
5.5b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
33.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt t)
168.0ms	(cbrt t)
165.0ms	(cbrt t)
72.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune293.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

-6% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch38.0ms

Steps

Iters	Range		Point
4	5.5058666383326476e-45	1.0349378346336525e-44	5.86993056876951e-45
6	-5.4623579008395114e-201	-1.3338191908175047e-201	-1.5028999843123688e-201

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample556.0ms

Algorithm

intervals

Results

287.0ms

10642×

body

valid