Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

342×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	1267	4
12	2333	4
13	3587	4
14	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 6.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
6.6b	(/ (* (- y x) z) t)

rewrite14.0ms

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:

6.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series72.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- y x) z)
44.0ms	(/ (* (- y x) z) t)

simplify33.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (8.0ms)

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

prune96.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	6	52

Merged error: 0b

Counts

52 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b	(* (- y x) (/ z t))

rewrite11.0ms

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:

9.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (28.0ms)

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

prune70.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0b

Counts

47 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

7.9b	(/ (- y x) (/ t z))

rewrite14.0ms

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:

8.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (41.0ms)

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

prune182.0ms

Filtered

104 candidates to 74 candidates (71.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	104	6	110

Merged error: 0b

Counts

110 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.6b	(* (/ (- y x) t) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- y x) t)
9.0ms	(* (/ (- y x) t) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) t)
46.0ms	(* (/ (- y x) t) z)

simplify95.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	280	401
1	933	369
2	4570	363
3	5002	363

prune124.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	83	5	88

Merged error: 0b

Counts

88 → 5

regimes116.0ms

Accuracy

-5.2% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch74.0ms

Steps

Iters	Range		Point
8	1.6351981728331858e-51	7.275440883794279e-47	4.5465005805621093e-51
9	-1.6254119838831624e-118	-3.291493950790207e-124	-1.478959808332269e-122

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample570.0ms

Algorithm

intervals

Results

315.0ms

10669×

body

valid

Details

sample22.0ms

simplify113.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series72.0ms

simplify33.0ms

prune96.0ms

localize6.0ms

rewrite11.0ms

series44.0ms

simplify32.0ms

prune70.0ms

localize6.0ms

rewrite14.0ms

series44.0ms

simplify51.0ms

prune182.0ms

localize6.0ms

rewrite17.0ms

series71.0ms

simplify95.0ms

prune124.0ms

regimes116.0ms

bsearch74.0ms

simplify1.0ms

end0.0ms

sample570.0ms

Profiling