Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

271×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

8.0ms	(/ (+ (- t z) 1.0) a)
35.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series240.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (+ (- t z) 1.0) a)
85.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
121.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune432.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.7b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))
15.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series263.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
49.0ms	(/ (- y z) (+ (- t z) 1.0))
126.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify48.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
10.3b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
21×	`associate-r`
19×	`add-sqr-sqrt`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`associate-l`
4×	`pow1` `distribute-lft-out--` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3-+` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip-+` `div-inv` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
16.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
69.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	375	463
1	1592	423
2	5001	423

prune156.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
3.4b	(* (- y z) (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
13×	`associate-r`
12×	`cbrt-div`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
8×	`associate-/r/`
6×	`pow1` `frac-times` `flip3-+` `flip-+`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
3×	`pow1/3` `associate-*r/`
2×	`flip3--` `times-frac` `flip--` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
25.0ms	(* (- y z) (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt a)
173.0ms	(cbrt a)
171.0ms	(cbrt a)
220.0ms	(* (- y z) (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	536	939
1	2266	744
2	5001	719

prune322.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample548.0ms

Algorithm

intervals

Results

296.0ms	8475×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid