Details

sample82.0ms

Algorithm

intervals

Results

42.0ms

619×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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: 12.5b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
5.1b	(* x (- (* y z) (* t a)))
5.2b	(* b (- (* c z) (* t i)))
5.8b	(* j (- (* c a) (* y i)))

rewrite211.0ms

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	(- (* c a) (* y i))
29.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* t i)))
32.0ms	(* j (- (* c a) (* y i)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c a) (* y i))
71.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* b (- (* c z) (* t i)))
75.0ms	(* j (- (* c a) (* y i)))

simplify215.0ms

Algorithm

egg-herbie

Counts

1156 → 1156

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2520	18771
1	5002	13385

prune1.5s

Filtered

1156 candidates to 207 candidates (17.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1132	24	1156
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	1134	24	1158

Merged error: 6.4b

Counts

1158 → 24

localize29.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (- (* y z) (* t a)))
5.2b	(* b (fma (* (cbrt c) (cbrt c)) (* (cbrt c) z) (- (* i t))))
5.8b	(* j (- (* c a) (* y i)))
47.5b	(fma (- i) t (* i t))

rewrite123.0ms

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:

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

series416.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (- (* y z) (* t a)))
246.0ms	(* b (fma (* (cbrt c) (cbrt c)) (* (cbrt c) z) (- (* i t))))
74.0ms	(* j (- (* c a) (* y i)))
25.0ms	(fma (- i) t (* i t))

simplify131.0ms

Algorithm

egg-herbie

Counts

688 → 688

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1787	11177
1	5001	7566

prune1.0s

Filtered

688 candidates to 120 candidates (17.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	682	6	688
Fresh	7	16	23
Picked	1	0	1
Done	0	0	0
Total	690	22	712

Merged error: 6.4b

Counts

712 → 22

localize29.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (fma (* y (* (cbrt z) (cbrt z))) (cbrt z) (- (* a t))))
5.2b	(* b (- (* c z) (* t i)))
5.8b	(* j (- (* c a) (* y i)))
49.9b	(fma (- a) t (* a t))

rewrite123.0ms

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	(* x (fma (* y (* (cbrt z) (cbrt z))) (cbrt z) (- (* a t))))
28.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* j (- (* c a) (* y i)))
1.0ms	(fma (- a) t (* a t))

series340.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* x (fma (* y (* (cbrt z) (cbrt z))) (cbrt z) (- (* a t))))
69.0ms	(* b (- (* c z) (* t i)))
71.0ms	(* j (- (* c a) (* y i)))
26.0ms	(fma (- a) t (* a t))

simplify131.0ms

Algorithm

egg-herbie

Counts

688 → 688

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1782	11177
1	5002	7734

prune1.1s

Filtered

688 candidates to 126 candidates (18.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	683	5	688
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	686	24	710

Merged error: 6.4b

Counts

710 → 24

localize37.0ms

Local error

Found 4 expressions with local error:

5.2b	(* b (fma (* (cbrt c) (cbrt c)) (* (cbrt c) z) (- (* i t))))
5.8b	(* j (fma (* c (* (cbrt a) (cbrt a))) (cbrt a) (- (* i y))))
47.2b	(fma (- i) y (* i y))
47.5b	(fma (- i) t (* i t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

4.0ms	(* b (fma (* (cbrt c) (cbrt c)) (* (cbrt c) z) (- (* i t))))
7.0ms	(* j (fma (* c (* (cbrt a) (cbrt a))) (cbrt a) (- (* i y))))
1.0ms	(fma (- i) y (* i y))
1.0ms	(fma (- i) t (* i t))

series446.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* b (fma (* (cbrt c) (cbrt c)) (* (cbrt c) z) (- (* i t))))
173.0ms	(* j (fma (* c (* (cbrt a) (cbrt a))) (cbrt a) (- (* i y))))
26.0ms	(fma (- i) y (* i y))
24.0ms	(fma (- i) t (* i t))

simplify118.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	230	650
1	920	560
2	3935	538
3	5001	534

prune561.0ms

Filtered

76 candidates to 62 candidates (81.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	76	24	100

Merged error: 4.3b

Counts

100 → 24

regimes1.7s

Accuracy

12.9% (6.5b remaining)

Error of 11.3b against oracle of 4.8b and baseline of 12.3b

bsearch379.0ms

Steps

Iters	Range		Point
8	0.007889744175765255	31.068622035261136	0.022366585488525683
7	-1.6407813619952962e-246	-1.503727672002823e-248	-8.342092328552405e-247
9	-1.1959334976289184e-165	-4.5022310150621334e-175	-2.9164613292182565e-174

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	121	113
1	128	113
2	128	113

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

18951×

body

valid