Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

288×

body

valid

simplify53.0ms

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: 14.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
14.0b	(/ (* 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))
9.0ms	(/ (* x (- y z)) (- t z))

series97.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y z))
64.0ms	(/ (* x (- y z)) (- t z))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

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

prune101.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.0b	(* x (/ (- y z) (- t z)))

rewrite28.0ms

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:

8.0ms	(/ (- y z) (- t z))
13.0ms	(* x (/ (- y z) (- t z)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- y z) (- t z))
61.0ms	(* 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

prune173.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- t z))
0.0b	(* x (- y z))
14.1b	(* (* x (- y z)) (/ 1 (- t z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

5.0ms	(/ 1 (- t z))
6.0ms	(* x (- y z))
13.0ms	(* (* x (- y z)) (/ 1 (- t z)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- t z))
34.0ms	(* x (- y z))
66.0ms	(* (* x (- y z)) (/ 1 (- t z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	423	635
1	2345	538
2	5003	495

prune357.0ms

Filtered

126 candidates to 66 candidates (52.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	126	6	132

Merged error: 0b

Counts

132 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y z))
0.4b	(/ 1 (/ (- t z) (* x (- y z))))
14.0b	(/ (- t z) (* x (- y z)))

rewrite33.0ms

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:

6.0ms	(* x (- y z))
10.0ms	(/ 1 (/ (- t z) (* x (- y z))))
11.0ms	(/ (- t z) (* x (- y z)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* x (- y z))
150.0ms	(/ 1 (/ (- t z) (* x (- y z))))
64.0ms	(/ (- t z) (* x (- y z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	468	910
1	2331	795
2	5002	731

prune166.0ms

Filtered

137 candidates to 73 candidates (53.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	137	6	143

Merged error: 0b

Counts

143 → 6

regimes115.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample468.0ms

Algorithm

intervals

Results

249.0ms

8712×

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