Details

sample622.0ms

Algorithm

intervals

Results

396.0ms

2245×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	145	47
1	392	45
2	1930	45
3	5001	44

prune36.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize61.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.5b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `prod-diff` `associate-l/`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

16.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
16.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
21.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
16.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
171.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
169.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
166.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

simplify43.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1176	1700
1	5002	1612

prune2.3s

Filtered

148 candidates to 120 candidates (81.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 21.2b

localize68.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.5b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
47.1b	(fma (- i) c (* i c))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

18×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-times`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
6×	`sub-neg` `associate-r/` `prod-diff` `associate-l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 112

Calls

4 calls:

21.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
17.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
16.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
0.0ms	(fma (- i) c (* i c))

series535.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
165.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
174.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
28.0ms	(fma (- i) c (* i c))

simplify111.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	907	1325
1	4237	1228
2	5001	1228

prune2.0s

Filtered

124 candidates to 98 candidates (79.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 21.2b

localize79.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y) (* z t)) (fma a b (- (* i c))))
9.5b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.5b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
47.1b	(fma (- i) c (* i c))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`flip3--` `flip--`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`frac-times`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-*l/`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

9.0ms	(* (- (* x y) (* z t)) (fma a b (- (* i c))))
22.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
17.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
0.0ms	(fma (- i) c (* i c))

series550.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (- (* x y) (* z t)) (fma a b (- (* i c))))
172.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
174.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
26.0ms	(fma (- i) c (* i c))

simplify105.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	783	1161
1	3546	1063
2	5001	1063

prune1.9s

Filtered

114 candidates to 89 candidates (78.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 21.2b

localize79.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y) (* z t)) (fma a b (- (* i c))))
9.5b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
47.1b	(fma (- i) c (* i c))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`flip3--` `flip--`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`frac-times`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-*l/`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

9.0ms	(* (- (* x y) (* z t)) (fma a b (- (* i c))))
16.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
17.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
0.0ms	(fma (- i) c (* i c))

series539.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (- (* x y) (* z t)) (fma a b (- (* i c))))
168.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
165.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
31.0ms	(fma (- i) c (* i c))

simplify99.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	780	1161
1	3542	1063
2	5002	1063

prune1.7s

Filtered

114 candidates to 89 candidates (78.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 21.2b

regimes5.6s

Accuracy

-17.2% (9.7b remaining)

Error of 28.9b against oracle of 19.2b and baseline of 27.5b

bsearch991.0ms

Steps

Iters	Range		Point
10	3.2211823241912193e-21	7.779767120885125e-06	8.870743561432696e-16
5	-1.8795507101001682e-94	-5.51580969759932e-95	-1.0052948572485456e-94

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	172
1	144	172
2	144	172

end0.0ms

sample17.9s

Algorithm

intervals

Results

12.0s

72131×

body

valid