Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

364×

body

valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.7b	(/ (* (- y x) z) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

5.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series107.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ (* (- y x) z) t))
27.0ms	(* (- y x) z)
43.0ms	(/ (* (- y x) z) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	337
1	1154	289
2	5002	284

prune136.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.1b	(/ (- y x) (/ t z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
89×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 121

Calls

2 calls:

19.0ms	(+ x (/ (- y x) (/ t z)))
9.0ms	(/ (- y x) (/ t z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (/ (- y x) (/ t z)))
43.0ms	(/ (- y x) (/ t z))

simplify61.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	618	976
1	2232	923
2	5001	920

prune230.0ms

Filtered

127 candidates to 93 candidates (73.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Merged error: 0b

Counts

132 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.0b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series75.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* (- y x) (/ z t)))
39.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune103.0ms

Filtered

62 candidates to 46 candidates (74.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Merged error: 0b

Counts

68 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (/ y t) z x) (/ x (/ t z)))
4.7b	(fma (/ y t) z x)
5.4b	(/ x (/ t z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `associate--l+` `clear-num` `flip--` `distribute-lft-out--`

Counts

3 → 236

Calls

3 calls:

17.0ms	(- (fma (/ y t) z x) (/ x (/ t z)))
1.0ms	(fma (/ y t) z x)
6.0ms	(/ x (/ t z))

series89.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (fma (/ y t) z x) (/ x (/ t z)))
41.0ms	(fma (/ y t) z x)
20.0ms	(/ x (/ t z))

simplify68.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1266	5557
1	5001	3959

prune493.0ms

Filtered

245 candidates to 137 candidates (55.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	245	6	251

Merged error: 0b

Counts

251 → 6

regimes133.0ms

Accuracy

36.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample558.0ms

Algorithm

intervals

Results

287.0ms

10700×

body

valid