Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

327×

body

valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
4.0b	(* (/ x y) (- z t))

rewrite46.0ms

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:

15.0ms	(+ (* (/ x y) (- z t)) t)
27.0ms	(* (/ x y) (- z t))

series88.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

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

prune118.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- z t) (/ x y)) t)
4.0b	(* (- z t) (/ x y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

15.0ms	(+ (* (- z t) (/ x y)) t)
29.0ms	(* (- z t) (/ x y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* (- z t) (/ x y)) t)
44.0ms	(* (- z t) (/ x y))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	293	313
1	1213	290
2	5001	278

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (- z t) (/ x y))
6.1b	(cbrt (* (- z t) (/ x y)))
6.1b	(cbrt (* (- z t) (/ x y)))
6.1b	(cbrt (* (- z t) (/ x y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

27.0ms	(* (- z t) (/ x y))
12.0ms	(cbrt (* (- z t) (/ x y)))
9.0ms	(cbrt (* (- z t) (/ x y)))
9.0ms	(cbrt (* (- z t) (/ x y)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- z t) (/ x y))
144.0ms	(cbrt (* (- z t) (/ x y)))
143.0ms	(cbrt (* (- z t) (/ x y)))
147.0ms	(cbrt (* (- z t) (/ x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	375	683
1	1479	635
2	5001	623

prune303.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.3b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
3.0b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite262.0ms

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:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
186.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
59.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series438.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z t))
138.0ms	(cbrt (- z t))
56.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
100.0ms	(* (/ 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

prune419.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample609.0ms

Algorithm

intervals

Results

256.0ms

10637×

body

valid