Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

343×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	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: 3.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

3.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

101×	`associate-*r/`
99×	`frac-sub`
78×	`associate-/r*`
75×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
60×	`associate-/l*`
43×	`add-cube-cbrt`
20×	`frac-2neg` `clear-num`
13×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
8×	`times-frac`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 130

Calls

1 calls:

38.0ms

(* x (- (/ y z) (/ t (- 1.0 z))))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* x (- (/ y z) (/ t (- 1.0 z))))

simplify142.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	980	1204
1	4946	1152
2	5001	1152

prune201.0ms

Filtered

133 candidates to 78 candidates (58.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	121	12	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	13	134

Merged error: 0.0b

Counts

134 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.5b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.5b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.5b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

404×	`associate-*r/`
396×	`frac-sub`
312×	`associate-/r*`
303×	`add-sqr-sqrt` `cbrt-div`
291×	`*-un-lft-identity`
240×	`associate-/l*`
175×	`add-cube-cbrt`
80×	`frac-2neg` `clear-num`
57×	`cbrt-prod`
52×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-r`
32×	`times-frac`
12×	`associate-l`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow1/3`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

4 → 514

Calls

4 calls:

40.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
37.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
40.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
37.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series800.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
245.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
248.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
256.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

526 → 526

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1418	7027
1	5001	6894

prune1.2s

Filtered

526 candidates to 321 candidates (61.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	525	1	526
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	526	13	539

Merged error: 0.0b

Counts

539 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
6.5b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.5b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

404×	`associate-*r/`
396×	`frac-sub`
312×	`associate-/r*`
306×	`add-sqr-sqrt`
303×	`cbrt-div`
292×	`*-un-lft-identity`
240×	`associate-/l*`
176×	`add-cube-cbrt`
80×	`frac-2neg` `clear-num`
65×	`cbrt-prod`
52×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-r`
32×	`times-frac`
15×	`associate-l`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
3×	`pow1/3`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

4 → 518

Calls

4 calls:

35.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
42.0ms	(cbrt (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
39.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
37.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series793.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
227.0ms	(cbrt (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
254.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
257.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify115.0ms

Algorithm

egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1799	7226
1	5002	7101

prune1.7s

Filtered

530 candidates to 326 candidates (61.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	530	13	543

Merged error: 0.0b

Counts

543 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
3.1b	(* x (- (* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z)) (* (cbrt z) t)))
6.5b	(* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z))
10.1b	(/ (* x (- (* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z)) (* (cbrt z) t))) (* (cbrt z) (- 1.0 z)))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

3913×	`add-sqr-sqrt`
1512×	`times-frac`
1438×	`unswap-sqr`
1091×	`associate-r`
885×	`cbrt-prod`
711×	`difference-of-squares`
612×	`*-un-lft-identity`
561×	`associate-l`
350×	`add-cube-cbrt`
158×	`swap-sqr`
138×	`*-commutative`
131×	`distribute-lft-out--`
99×	`associate-/r*`
66×	`frac-times`
58×	`associate-/l*`
40×	`add-cbrt-cube`
37×	`flip3--` `flip--`
33×	`associate-*l/`
27×	`add-exp-log`
18×	`cbrt-unprod`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`cbrt-undiv`
9×	`prod-exp`
8×	`pow1` `sub-neg` `associate-*r/` `associate--l+`
6×	`div-exp`
4×	`frac-2neg` `clear-num` `add-log-exp`
2×	`pow-prod-down` `associate-/r/` `div-inv` `associate-/l/`
1×	`pow1/3`

Counts

4 → 1276

Calls

4 calls:

1.0ms	(cbrt z)
114.0ms	(* x (- (* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z)) (* (cbrt z) t)))
31.0ms	(* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z))
146.0ms	(/ (* x (- (* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z)) (* (cbrt z) t))) (* (cbrt z) (- 1.0 z)))

series1.7s

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt z)
607.0ms	(* x (- (* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z)) (* (cbrt z) t)))
203.0ms	(* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z))
679.0ms	(/ (* x (- (* (/ y (* (cbrt z) (cbrt z))) (- 1.0 z)) (* (cbrt z) t))) (* (cbrt z) (- 1.0 z)))

simplify288.0ms

Algorithm

egg-herbie

Counts

1288 → 1288

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5001	31928

prune3.1s

Filtered

1288 candidates to 771 candidates (59.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1287	1	1288
Fresh	1	8	9
Picked	1	0	1
Done	0	3	3
Total	1289	12	1301

Merged error: 0b

Counts

1301 → 12

regimes376.0ms

Accuracy

84.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.6b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	61
1	77	61
2	79	61
3	79	61

end0.0ms

sample585.0ms

Algorithm

intervals

Results

313.0ms

10076×

body

valid