Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

347×

body

valid

simplify126.0ms

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: 1.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.9b	(* (/ x y) (- z t))

rewrite18.0ms

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:

8.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series88.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ x y) (- z t)) t)
52.0ms	(* (/ 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

prune144.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.5b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.5b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite52.0ms

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:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
21.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- z t))
152.0ms	(cbrt (- z t))
55.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
98.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify85.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (60.0ms)

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

prune446.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (- z t)))
0.5b	(cbrt (cbrt (- z t)))
1.5b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))))
5.5b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

2624×	`cbrt-div`
1394×	`frac-times`
824×	`flip3--` `flip--`
506×	`associate-*r/`
409×	`associate-*l/`
85×	`add-exp-log`
54×	`prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
45×	`pow1`
30×	`pow-prod-down`
26×	`cbrt-prod`
22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
8×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`div-inv`

Counts

4 → 621

Calls

4 calls:

4.0ms	(cbrt (cbrt (- z t)))
4.0ms	(cbrt (cbrt (- z t)))
48.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))))
19.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series466.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (cbrt (- z t)))
155.0ms	(cbrt (cbrt (- z t)))
57.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))))
102.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify219.0ms

Algorithm

egg-herbie

Counts

633 → 633

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	3823	22811
1	5001	22001

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.5b	(* (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))) (cbrt (- z t)))
1.8b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))))
2.3b	(* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

355×	`add-exp-log`
288×	`cbrt-div`
282×	`frac-times`
226×	`prod-exp`
178×	`associate-*r/`
144×	`flip3--` `flip--`
98×	`cbrt-unprod`
93×	`add-cbrt-cube`
84×	`associate-*l/`
70×	`div-exp`
34×	`cbrt-undiv`
32×	`pow1`
30×	`associate-l`
29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`rec-exp` `1-exp`
19×	`pow-prod-down`
18×	`cbrt-prod`
10×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`div-inv`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 356

Calls

4 calls:

1.0ms	(cbrt y)
42.0ms	(* (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))) (cbrt (- z t)))
26.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))))
17.0ms	(* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
88.0ms	(* (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))) (cbrt (- z t)))
128.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))))
146.0ms	(* (/ x (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))

simplify91.0ms

Algorithm

egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1702	6747
1	5002	5951

prune1.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes233.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample520.0ms

Algorithm

intervals

Results

265.0ms

10674×

body

valid