Details

sample648.0ms

Algorithm

intervals

Results

427.0ms

2461×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (48.0ms)

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

prune29.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize63.0ms

Local error

Found 4 expressions with local error:

8.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.4b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.7b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.9b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite44.0ms

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:

10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
11.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series675.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
164.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
169.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
170.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify47.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1180	1700
1	5001	1612

prune2.2s

Filtered

148 candidates to 120 candidates (81.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.4b

localize74.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.7b	(* (- (* k y2) (* j y3)) (fma y4 y1 (- (* y0 y5))))
8.9b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
45.7b	(fma (- y0) y5 (* y0 y5))

rewrite28.0ms

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	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
6.0ms	(* (- (* k y2) (* j y3)) (fma y4 y1 (- (* y0 y5))))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
1.0ms	(fma (- y0) y5 (* y0 y5))

series530.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
173.0ms	(* (- (* k y2) (* j y3)) (fma y4 y1 (- (* y0 y5))))
165.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
26.0ms	(fma (- y0) y5 (* y0 y5))

simplify98.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	790	1161
1	3566	1063
2	5001	1063

prune1.9s

Filtered

114 candidates to 89 candidates (78.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.4b

localize71.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (- (* x y) (* z t)))
8.4b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.7b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.9b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite41.0ms

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×	`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×	`cbrt-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 117

Calls

4 calls:

4.0ms	(cbrt (- (* x y) (* z t)))
15.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series814.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (- (* x y) (* z t)))
169.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
168.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
361.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify125.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1072	1429
1	4723	1330
2	5001	1330

prune2.1s

Filtered

129 candidates to 105 candidates (81.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.4b

localize74.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (- (* x y) (* z t)))
8.4b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.7b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.9b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite35.0ms

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×	`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×	`cbrt-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 117

Calls

4 calls:

4.0ms	(cbrt (- (* x y) (* z t)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series634.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (- (* x y) (* z t)))
172.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
171.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
171.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify130.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1072	1429
1	4723	1330
2	5001	1330

prune1.9s

Filtered

129 candidates to 105 candidates (81.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.4b

regimes6.5s

Accuracy

-35.6% (11.4b remaining)

Error of 29.5b against oracle of 18.1b and baseline of 26.5b

bsearch2.1s

Steps

Iters	Range		Point
9	8.166439685438883e+87	1.802175535578095e+97	3.1388995847028854e+90
7	2.0964446224566963e-61	5.435107405420632e-60	1.0124714360742508e-60
10	8.246359693492094e-243	1.616676144347046e-229	6.181893013320224e-236

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	164	188
1	171	188
2	171	188

end0.0ms

sample18.2s

Algorithm

intervals

Results

12.4s

72008×

body

valid