Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

327×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	41	5
3	63	5
4	80	5
5	96	5
6	113	5
7	121	5
8	124	5
9	124	5

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: 3.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
3.8b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`times-frac`
1082×	`add-sqr-sqrt`
1078×	`*-un-lft-identity`
819×	`prod-diff`
814×	`add-cube-cbrt`
275×	`distribute-rgt-in` `distribute-lft-in`
129×	`distribute-lft-out--` `difference-of-squares`
104×	`div-inv`
80×	`associate-/r/`
42×	`flip3--` `flip--`
13×	`fma-neg`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 927

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
31.0ms	(- (/ y z) (/ t (- 1.0 z)))
48.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ t (- 1.0 z))
33.0ms	(- (/ y z) (/ t (- 1.0 z)))
54.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify255.0ms

Algorithm

egg-herbie

Counts

936 → 936

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1661	27825
1	5001	22260

prune1.5s

Filtered

936 candidates to 376 candidates (40.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	924	12	936
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	925	12	937

Merged error: 0.5b

Counts

937 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
3.8b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
68×	`times-frac`
54×	`add-cube-cbrt`
39×	`prod-diff`
24×	`associate-r`
19×	`add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg` `add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `div-inv` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`expm1-log1p-u` `flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `log1p-expm1-u` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 185

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 z))
7.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms	(* t (/ 1 (- 1.0 z)))
9.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1 (- 1.0 z))
33.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
34.0ms	(* t (/ 1 (- 1.0 z)))
52.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	626	1632
1	2718	1397
2	5001	1294

prune318.0ms

Filtered

197 candidates to 116 candidates (58.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	197	12	209

Merged error: 0.5b

Counts

209 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
3.8b	(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt z)
183.0ms	(cbrt z)
191.0ms	(cbrt z)
190.0ms	(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	161	470
1	613	409
2	3229	385
3	5001	368

prune211.0ms

Filtered

73 candidates to 62 candidates (84.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	74	11	85

Merged error: 0.0b

Counts

85 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
33×	`cbrt-div`
30×	`cbrt-prod`
24×	`times-frac`
18×	`associate-*r/`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `frac-sub` `flip--`
9×	`pow1` `add-exp-log` `frac-times`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

46.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
138.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
142.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
141.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify85.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	434	1395
1	1015	1306
2	2712	1295
3	5003	1247

prune547.0ms

Filtered

117 candidates to 92 candidates (78.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	7	8
Picked	0	1	1
Done	1	1	2
Total	118	10	128

Merged error: 0.0b

Counts

128 → 10

regimes298.0ms

Accuracy

66.4% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 4.5b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	29
1	50	29
2	51	29
3	51	29

end0.0ms

sample625.0ms

Algorithm

intervals

Results

366.0ms

10200×

body

valid