Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

286×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	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: 13.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.8b	(/ (* x (- y z)) (- t z))

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	(* x (- y z))
8.0ms	(/ (* x (- y z)) (- t z))

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (- y z))
65.0ms	(/ (* x (- y z)) (- t z))

simplify35.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	264	276
1	1209	239
2	5001	239

prune107.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.9b	(/ x (/ (- t z) (- y z)))

rewrite32.0ms

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	(/ (- t z) (- y z))
14.0ms	(/ x (/ (- t z) (- y z)))

series191.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- t z) (- y z))
145.0ms	(/ x (/ (- t z) (- y z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	633	1784
1	2863	1733
2	5001	1730

prune338.0ms

Filtered

200 candidates to 133 candidates (66.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	199	8	207

Merged error: 0b

Counts

207 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.1b	(* x (/ (- y z) (- t z)))

rewrite27.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- y z) (- t z))
13.0ms	(* x (/ (- y z) (- t z)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- t z))
63.0ms	(* x (/ (- y z) (- t z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune169.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(/ (cbrt x) (/ (- t z) (- y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

361×	`times-frac`
288×	`add-sqr-sqrt` `*-un-lft-identity`
148×	`add-cube-cbrt`
105×	`cbrt-prod`
70×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
15×	`associate-/r/`
9×	`add-exp-log`
8×	`div-inv`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-/l*`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`frac-2neg` `clear-num`

Counts

4 → 271

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(/ (cbrt x) (/ (- t z) (- y z)))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
185.0ms	(cbrt x)
173.0ms	(cbrt x)
465.0ms	(/ (cbrt x) (/ (- t z) (- y z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	779	3143
1	3656	3100
2	5002	3042

prune551.0ms

Filtered

283 candidates to 179 candidates (63.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	283	8	291

Merged error: 0b

Counts

291 → 8

regimes158.0ms

Accuracy

26.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	22
1	34	22
2	35	22
3	35	22

end0.0ms

sample476.0ms

Algorithm

intervals

Results

265.0ms

8753×

body

valid

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4

Iter	Nodes	Cost
0	14	4
1	29	4
2	54	4
3	77	4
4	104	4
5	125	4
6	134	4
7	144	4
8	145	4
9	149	4
10	153	4
11	248	4
12	286	4
13	308	4
14	394	4
15	463	4
16	521	4
17	615	4
18	691	4
19	700	4
20	700	4