Details

sample649.0ms

Algorithm

intervals

Results

455.0ms

2158×

body

valid

simplify46.0ms

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

prune15.0ms

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: 26.1b

Counts

2 → 1

localize69.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.1b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite50.0ms

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:

8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
14.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
14.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
163.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
165.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
167.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5002	1484

prune2.1s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	109	23	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	23	133

Merged error: 17.7b

Counts

133 → 23

localize74.0ms

Local error

Found 4 expressions with local error:

6.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
7.7b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite37.0ms

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:

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

series678.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
170.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
169.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
171.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune2.0s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	129	26	155

Merged error: 15.9b

Counts

155 → 26

localize72.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt (- (* y0 b) (* y1 i)))
9.1b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`flip3--` `flip--`
17×	`add-sqr-sqrt`
12×	`frac-times`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (- (* y0 b) (* y1 i)))
168.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
169.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
174.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify114.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	986	1323
1	4465	1224
2	5002	1218

prune1.8s

Filtered

115 candidates to 87 candidates (75.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	116	25	141

Merged error: 15.9b

Counts

141 → 25

localize71.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.1b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite43.0ms

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:

8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
169.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
171.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
219.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify93.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	553	1572
1	2690	1452
2	5001	1452

prune1.7s

Filtered

132 candidates to 96 candidates (72.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	24	24
Picked	0	1	1
Done	0	0	0
Total	132	25	157

Merged error: 15.9b

Counts

157 → 25

Details

sample649.0ms

simplify46.0ms

prune15.0ms

localize69.0ms

rewrite50.0ms

series664.0ms

simplify45.0ms

prune2.1s

localize74.0ms

rewrite37.0ms

series678.0ms

simplify42.0ms

prune2.0s

localize72.0ms

rewrite30.0ms

series622.0ms

simplify114.0ms

prune1.8s

localize71.0ms

rewrite43.0ms

series729.0ms

simplify93.0ms

prune1.7s

regimes6.7s

bsearch15.0ms

Profiling