Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

274×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(* y (/ (- z t) (- z a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

9.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- z t) (- z a))
67.0ms	(* y (/ (- z t) (- z a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	358	664
1	1410	623
2	5002	623

prune266.0ms

Filtered

112 candidates to 75 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))

series654.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (- z t))
157.0ms	(cbrt (- z a))
163.0ms	(cbrt (- z a))
163.0ms	(cbrt (- z a))

simplify67.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	255	452
1	569	432
2	1542	420
3	5001	392

prune338.0ms

Filtered

80 candidates to 72 candidates (90.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.1b	(/ (* y (- z t)) (- z a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
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` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

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

series112.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z t))
74.0ms	(/ (* y (- z t)) (- z a))

simplify61.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune137.0ms

Filtered

83 candidates to 44 candidates (53.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0b

Counts

88 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.1b	(/ y (/ (- z a) (- z t)))

rewrite39.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

9.0ms	(/ (- z a) (- z t))
13.0ms	(/ y (/ (- z a) (- z t)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- z a) (- z t))
124.0ms	(/ y (/ (- z a) (- z t)))

simplify100.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	639	1797
1	2867	1744
2	5001	1741

prune448.0ms

Filtered

204 candidates to 136 candidates (66.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	204	5	209

Merged error: 0b

Counts

209 → 5

regimes218.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample544.0ms

Algorithm

intervals

Results

284.0ms

8745×

body

valid