Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

272×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	69	4
3	182	4
4	401	4
5	659	4
6	1403	4
7	1837	4
8	2387	4
9	2759	4
10	2763	4
11	2763	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: 6.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
6.6b	(/ x (* (- y z) (- t z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

10.0ms	(* (- y z) (- t z))
9.0ms	(/ x (* (- y z) (- t z)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- y z) (- t z))
119.0ms	(/ x (* (- y z) (- t z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	384	705
1	1834	535
2	5002	528

prune178.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.2b	(/ (/ x (- y z)) (- t z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

5.0ms	(/ x (- y z))
11.0ms	(/ (/ x (- y z)) (- t z))

series148.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
121.0ms	(/ (/ x (- y z)) (- t z))

simplify76.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	644	1751
1	2322	1707
2	5001	1707

prune339.0ms

Filtered

195 candidates to 132 candidates (67.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	194	9	203

Merged error: 0b

Counts

203 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(* x (/ 1 (- y z)))
1.2b	(/ (* x (/ 1 (- y z))) (- t z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r*`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-/r/`
4×	`cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `associate-l` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 124

Calls

3 calls:

5.0ms	(/ 1 (- y z))
10.0ms	(* x (/ 1 (- y z)))
14.0ms	(/ (* x (/ 1 (- y z))) (- t z))

series200.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- y z))
40.0ms	(* x (/ 1 (- y z)))
127.0ms	(/ (* x (/ 1 (- y z))) (- t z))

simplify44.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	401	661
1	1820	554
2	5001	507

prune177.0ms

Filtered

133 candidates to 77 candidates (57.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	133	9	142

Merged error: 0b

Counts

142 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
26.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
175.0ms	(cbrt x)
176.0ms	(cbrt x)
144.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	539	1075
1	2688	884
2	5001	825

prune296.0ms

Filtered

130 candidates to 101 candidates (77.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	131	8	139

Merged error: 0b

Counts

139 → 8

regimes118.0ms

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	8	4

end0.0ms

sample464.0ms

Algorithm

intervals

Results

254.0ms

8428×

body

valid