Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

304×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 13.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.5b	(/ (* x (- y z)) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

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

series95.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (- y z))
57.0ms	(/ (* x (- y z)) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	383	586
1	1665	557
2	5001	557

prune140.0ms

Filtered

107 candidates to 74 candidates (30.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.3b	(/ (* x 1) (/ y (- y z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

498×	`times-frac`
366×	`add-sqr-sqrt`
322×	`*-un-lft-identity`
206×	`add-cube-cbrt`
66×	`associate-r` `associate-l`
47×	`distribute-lft-out--` `difference-of-squares`
44×	`unswap-sqr`
41×	`associate-/r/`
31×	`associate-/r*`
22×	`*-commutative`
21×	`add-exp-log`
19×	`associate-/l*`
16×	`add-cbrt-cube` `div-inv`
15×	`flip3--` `flip--`
10×	`div-exp`
7×	`cbrt-undiv`
4×	`prod-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `1-exp` `cbrt-unprod` `add-log-exp`

Counts

2 → 375

Calls

2 calls:

5.0ms	(/ y (- y z))
19.0ms	(/ (* x 1) (/ y (- y z)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ y (- y z))
52.0ms	(/ (* x 1) (/ y (- y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1317	3426
1	5002	3170

prune307.0ms

Filtered

381 candidates to 153 candidates (59.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	380	1	381
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	381	6	387

Merged error: 0b

Counts

387 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

10.7b

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 64

Calls

1 calls:

15.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	324	389
1	1728	369
2	5001	369

prune93.0ms

Filtered

67 candidates to 47 candidates (29.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0b

Counts

73 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

10.9b

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 109

Calls

1 calls:

10.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	555	876
1	2227	844
2	5002	842

prune142.0ms

Filtered

112 candidates to 79 candidates (29.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes109.0ms

Accuracy

20.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.8b

bsearch117.0ms

Steps

Iters	Range		Point
8	7.945268834441626e-56	3.84351479194634e-52	2.9154365011771894e-52
9	3.9965458245418723e-159	1.272742797091623e-153	3.8325361289153664e-156
9	-3.4597863627326787e-217	-1.6009533797321218e-226	-2.5442428760867874e-218
7	-0.04448272872103196	-0.00020941339756170356	-0.003124199313119929

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	37	20
2	37	20

end0.0ms

sample404.0ms

Algorithm

intervals

Results

209.0ms

9543×

body

valid