Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

273×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

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: 9.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.4b	(/ (* y (- z t)) (- z a))

rewrite16.0ms

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-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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:

6.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) (- z a))

series104.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z t))
69.0ms	(/ (* y (- z t)) (- z a))

simplify46.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	267	276
1	1217	239
2	5001	239

prune126.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.9b	(/ y (/ (- z a) (- z t)))

rewrite36.0ms

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-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

7.0ms	(/ (- z a) (- z t))
17.0ms	(/ y (/ (- z a) (- z t)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z a) (- z t))
117.0ms	(/ y (/ (- z a) (- z t)))

simplify91.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	630	1780
1	2843	1729
2	5003	1726

prune385.0ms

Filtered

200 candidates to 132 candidates (66.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	202	3	205

Merged error: 0b

Counts

205 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
11.5b	(* (/ y (- z a)) (- z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

11.0ms	(/ y (- z a))
11.0ms	(* (/ y (- z a)) (- z t))

series161.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (- z a))
133.0ms	(* (/ y (- z a)) (- z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	341	497
1	1399	459
2	5001	459

prune174.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.5b	(/ 1 (/ (- z a) (* y (- z t))))
9.4b	(/ (- z a) (* y (- z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
31×	`add-exp-log`
27×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`cbrt-undiv` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `div-inv`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 128

Calls

3 calls:

12.0ms	(* y (- z t))
10.0ms	(/ 1 (/ (- z a) (* y (- z t))))
8.0ms	(/ (- z a) (* y (- z t)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* y (- z t))
234.0ms	(/ 1 (/ (- z a) (* y (- z t))))
54.0ms	(/ (- z a) (* y (- z t)))

simplify112.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	466	906
1	2317	791
2	5001	727

prune191.0ms

Filtered

137 candidates to 72 candidates (52.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes115.0ms

Accuracy

-7.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch98.0ms

Steps

Iters	Range		Point
10	1.7570259815212553e-184	3.1833879369925767e-173	1.6339483104579615e-181
8	-2.3281300819889513e-144	-2.506069403358858e-148	-2.8784890394567583e-145

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	25	10

end0.0ms

sample584.0ms

Algorithm

intervals

Results

321.0ms	8716×	body	80	valid
0.0ms	2×	body	640	valid