Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

285×

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: 1.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.8b	(* y (/ (- z t) (- z a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

4.0ms	(+ x (* y (/ (- z t) (- z a))))
14.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ x (* y (/ (- z t) (- z a))))
53.0ms	(/ (- z t) (- z a))
72.0ms	(* y (/ (- z t) (- z a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	435	776
1	1703	730
2	5001	730

prune364.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	125	6	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(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))

series686.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (- z t))
173.0ms	(cbrt (- z a))
170.0ms	(cbrt (- z a))
171.0ms	(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

prune397.0ms

Filtered

80 candidates to 72 candidates (90.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0b

Counts

86 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`cbrt-div`
11×	`add-cube-cbrt`
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 → 77

Calls

4 calls:

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

series719.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- z a))
172.0ms	(cbrt (cbrt (- z t)))
177.0ms	(cbrt (cbrt (- z t)))
179.0ms	(cbrt (cbrt (- z t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	285	602
1	617	576
2	1655	564
3	5001	536

prune516.0ms

Filtered

89 candidates to 81 candidates (91.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Merged error: 0b

Counts

95 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (- z a) (- z t)))
2.8b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 349

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
14.0ms	(/ (- z a) (- z t))
14.0ms	(/ 1 (/ (- z a) (- z t)))
33.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
54.0ms	(/ (- z a) (- z t))
105.0ms	(/ 1 (/ (- z a) (- z t)))
133.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify129.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	970	2876
1	4831	2583
2	5001	2583

prune929.0ms

Filtered

361 candidates to 216 candidates (59.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	360	1	361
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	362	5	367

Merged error: 0b

Counts

367 → 5

regimes151.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms

sample558.0ms

Algorithm

intervals

Results

294.0ms	8706×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid