Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

336×

body

valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.9b	(* (/ x y) (- z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.4b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.6b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
109.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
32.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series466.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (- z t))
140.0ms	(cbrt (- z t))
53.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
95.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify78.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	820	2292
1	2630	2077
2	5001	2021

prune434.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
6.1b	(* x (/ (- z t) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

6.0ms	(+ (* x (/ (- z t) y)) t)
8.0ms	(/ (- z t) y)
15.0ms	(* x (/ (- z t) y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x (/ (- z t) y)) t)
26.0ms	(/ (- z t) y)
53.0ms	(* x (/ (- z t) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	342	501
1	1379	468
2	5001	456

prune206.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
0.0b	(- (/ (* x z) y) (/ (* t x) y))
6.6b	(/ (* t x) y)
7.2b	(/ (* x z) y)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
2×	`sub-neg` `associate-+l+` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

52.0ms	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
12.0ms	(- (/ (* x z) y) (/ (* t x) y))
3.0ms	(/ (* t x) y)
3.0ms	(/ (* x z) y)

series119.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (- (/ (* x z) y) (/ (* t x) y)) t)
44.0ms	(- (/ (* x z) y) (/ (* t x) y))
19.0ms	(/ (* t x) y)
21.0ms	(/ (* x z) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	331	474
1	1523	437
2	5001	436

prune170.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample844.0ms

Algorithm

intervals

Results

551.0ms

10726×

body

valid