Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

268×

body

valid

simplify54.0ms

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: 12.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.1b	(/ (* 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))

series102.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (- y z))
64.0ms	(/ (* 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

prune99.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- y z) (- t z))
66.0ms	(* x (/ (- y z) (- t z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

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

prune165.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

25.0ms	(- (/ y (- t z)) (/ z (- t z)))
5.0ms	(/ y (- t z))
5.0ms	(/ z (- t z))
33.0ms	(* x (- (/ y (- t z)) (/ z (- t z))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (/ y (- t z)) (/ z (- t z)))
27.0ms	(/ y (- t z))
46.0ms	(/ z (- t z))
77.0ms	(* x (- (/ y (- t z)) (/ z (- t z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	433	894
1	1617	844
2	5001	844

prune255.0ms

Filtered

156 candidates to 112 candidates (71.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	157	6	163

Merged error: 0b

Counts

163 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
2.2b	(/ x (/ (- t z) (- y z)))

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

Counts

2 → 194

Calls

2 calls:

7.0ms	(/ (- t z) (- y z))
15.0ms	(/ x (/ (- t z) (- y z)))

series258.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- t z) (- y z))
211.0ms	(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (54.0ms)

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

prune335.0ms

Filtered

200 candidates to 133 candidates (66.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	200	6	206

Merged error: 0b

Counts

206 → 6

regimes329.0ms

Accuracy

29% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	22
1	22	22

end0.0ms

sample497.0ms

Algorithm

intervals

Results

273.0ms

8679×

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