Details

sample76.0ms

Algorithm

intervals

Results

39.0ms

614×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune12.0ms

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: 10.7b

Counts

2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.6b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
5.2b	(* x (- (* y z) (* t a)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

1008×	`prod-diff`
909×	`add-sqr-sqrt`
549×	`*-un-lft-identity`
540×	`associate-r`
532×	`associate-l`
517×	`add-cube-cbrt`
438×	`distribute-rgt-in` `distribute-lft-in`
188×	`unswap-sqr`
172×	`*-commutative`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`fma-neg`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sub-neg`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`diff-log`

Counts

4 → 1144

Calls

4 calls:

22.0ms	(- (* y z) (* t a))
28.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* j (- (* c t) (* i y)))
33.0ms	(* x (- (* y z) (* t a)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* y z) (* t a))
69.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* j (- (* c t) (* i y)))
78.0ms	(* x (- (* y z) (* t a)))

simplify200.0ms

Algorithm

egg-herbie

Counts

1156 → 1156

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2522	18771
1	5001	13385

prune1.4s

Filtered

1156 candidates to 207 candidates (17.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1136	20	1156
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	1138	20	1158

Merged error: 5.2b

Counts

1158 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

4.6b	(* b (fma c z (- (* i a))))
4.8b	(* j (- (* c t) (* i y)))
5.2b	(* x (- (* y z) (* t a)))
50.2b	(fma (- a) i (* a i))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

576×	`prod-diff`
520×	`add-sqr-sqrt`
314×	`*-un-lft-identity`
313×	`associate-r`
305×	`associate-l`
298×	`add-cube-cbrt`
293×	`distribute-rgt-in` `distribute-lft-in`
107×	`unswap-sqr`
99×	`*-commutative`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`flip3--` `flip--`

Counts

4 → 676

Calls

4 calls:

4.0ms	(* b (fma c z (- (* i a))))
32.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* x (- (* y z) (* t a)))
1.0ms	(fma (- a) i (* a i))

series252.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* b (fma c z (- (* i a))))
74.0ms	(* j (- (* c t) (* i y)))
75.0ms	(* x (- (* y z) (* t a)))
29.0ms	(fma (- a) i (* a i))

simplify130.0ms

Algorithm

egg-herbie

Counts

688 → 688

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1785	11046
1	5002	7453

prune1.0s

Filtered

688 candidates to 119 candidates (17.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	674	14	688
Fresh	14	5	19
Picked	1	0	1
Done	0	0	0
Total	689	19	708

Merged error: 5.2b

Counts

708 → 19

localize38.0ms

Local error

Found 4 expressions with local error:

4.8b	(* j (- (* c t) (* i y)))
5.2b	(* x (fma (* y (* (cbrt z) (cbrt z))) (cbrt z) (- (* a t))))
50.2b	(fma (- a) t (* a t))
50.2b	(fma (- a) i (* a i))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
264×	`add-sqr-sqrt`
160×	`*-un-lft-identity`
158×	`associate-r`
154×	`associate-l`
152×	`add-cube-cbrt`
147×	`distribute-rgt-in` `distribute-lft-in`
54×	`unswap-sqr`
50×	`*-commutative`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`sub-neg` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`flip3--` `flip--`

Counts

4 → 364

Calls

4 calls:

31.0ms	(* j (- (* c t) (* i y)))
4.0ms	(* x (fma (* y (* (cbrt z) (cbrt z))) (cbrt z) (- (* a t))))
1.0ms	(fma (- a) t (* a t))
1.0ms	(fma (- a) i (* a i))

series323.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* j (- (* c t) (* i y)))
190.0ms	(* x (fma (* y (* (cbrt z) (cbrt z))) (cbrt z) (- (* a t))))
34.0ms	(fma (- a) t (* a t))
28.0ms	(fma (- a) i (* a i))

simplify122.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	982	5801
1	3288	4047
2	5001	3758

prune820.0ms

Filtered

376 candidates to 78 candidates (20.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	376	19	395

Merged error: 5.2b

Counts

395 → 19

localize32.0ms

Local error

Found 4 expressions with local error:

6.4b	(cbrt (- (* c t) (* i y)))
6.4b	(cbrt (- (* c t) (* i y)))
6.4b	(cbrt (- (* c t) (* i y)))
50.2b	(fma (- a) i (* a i))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
33×	`cbrt-prod`
31×	`*-un-lft-identity`
12×	`associate-l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 79

Calls

4 calls:

15.0ms	(cbrt (- (* c t) (* i y)))
13.0ms	(cbrt (- (* c t) (* i y)))
13.0ms	(cbrt (- (* c t) (* i y)))
1.0ms	(fma (- a) i (* a i))

series404.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (- (* c t) (* i y)))
130.0ms	(cbrt (- (* c t) (* i y)))
115.0ms	(cbrt (- (* c t) (* i y)))
27.0ms	(fma (- a) i (* a i))

simplify149.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	249	740
1	637	706
2	1888	688
3	4949	680
4	5001	680

prune631.0ms

Filtered

91 candidates to 74 candidates (81.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	16	17
Picked	0	1	1
Done	0	1	1
Total	91	19	110

Merged error: 5.2b

Counts

110 → 19

regimes1.5s

Accuracy

49.2% (3.3b remaining)

Error of 9.1b against oracle of 5.8b and baseline of 12.3b

bsearch222.0ms

Steps

Iters	Range		Point
5	8.093141344648791e+33	1.662444923250984e+34	1.1382174731435786e+34
8	-6.587687279504237e+61	-4.790110434575824e+58	-9.340382156181511e+58

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	78
1	95	78
2	95	78

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s

18952×

body

valid