Details

sample671.0ms

Algorithm

intervals

Results

468.0ms

2199×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune13.0ms

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: 24.2b

Counts

2 → 1

localize67.0ms

Local error

Found 4 expressions with local error:

7.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series690.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
172.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
170.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
174.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1084	1572
1	5001	1484

prune1.9s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	108	24	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	24	133

Merged error: 14.2b

Counts

133 → 24

localize67.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.9b	(* (- (* t j) (* y k)) (- (* y5 i)))
8.9b	(* (- (* t j) (* y k)) (* y4 b))
8.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-*l/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

15.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.0ms	(* (- (* t j) (* y k)) (- (* y5 i)))
7.0ms	(* (- (* t j) (* y k)) (* y4 b))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
98.0ms	(* (- (* t j) (* y k)) (- (* y5 i)))
102.0ms	(* (- (* t j) (* y k)) (* y4 b))
172.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify110.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	820	1159
1	4004	1044
2	5001	1044

prune1.6s

Filtered

116 candidates to 84 candidates (72.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	117	23	140

Merged error: 13.3b

Counts

140 → 23

localize69.0ms

Local error

Found 4 expressions with local error:

7.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.9b	(* (- (* t j) (* y k)) (- (* y5 i)))
8.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
15×	`associate-r`
12×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
8×	`associate-*l/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 114

Calls

4 calls:

9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.0ms	(* (- (* t j) (* y k)) (- (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
175.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
99.0ms	(* (- (* t j) (* y k)) (- (* y5 i)))
176.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	977	1385
1	4826	1273
2	5003	1273

prune1.7s

Filtered

126 candidates to 93 candidates (73.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	127	22	149

Merged error: 13.1b

Counts

149 → 22

localize68.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
7.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.9b	(* (- (* t j) (* y k)) (- (* y5 i)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
15×	`associate-r`
12×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
8×	`associate-*l/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 114

Calls

4 calls:

9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* t j) (* y k)) (- (* y5 i)))

series662.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
193.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
184.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
104.0ms	(* (- (* t j) (* y k)) (- (* y5 i)))

simplify124.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	971	1385
1	4809	1273
2	5001	1273

prune1.7s

Filtered

126 candidates to 93 candidates (73.8%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	116	10	126
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	121	27	148

Merged error: 10.8b

Counts

148 → 27

regimes7.9s

Accuracy

8.7% (12.3b remaining)

Error of 28.1b against oracle of 15.8b and baseline of 29.3b

bsearch2.6s

Steps

Iters	Range		Point
8	2.5841785937917682e+88	1.9873708743160793e+92	1.359547941490154e+89
5	3.901231081106125e-204	1.2727233977092417e-203	7.25196719441959e-204
5	-1.3476549061308969e-244	-5.62676342319794e-245	-7.1928647657313e-245
9	-3.307716740485984e+92	-2.4719836623012596e+84	-3.3426445964380007e+84

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	196	289
1	209	289
2	213	289
3	213	289

end0.0ms

sample21.6s

Algorithm

intervals

Results

15.8s

74292×

body

valid