Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

333×

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.1b	(* (/ x y) (- z t))

rewrite19.0ms

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))

series84.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
52.0ms	(* (/ x y) (- z t))

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

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

prune129.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
0.6b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.7b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

146×	`cbrt-div`
102×	`frac-times`
73×	`flip3--` `flip--`
52×	`associate-*r/`
45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`associate-*l/`
38×	`cbrt-prod`
36×	`add-exp-log`
25×	`pow1`
22×	`add-cube-cbrt` `associate-l`
21×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
11×	`pow-prod-down`
10×	`times-frac` `swap-sqr`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 205

Calls

4 calls:

3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
23.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series411.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z t))
121.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
52.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
94.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify111.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	894	2624
1	3577	2389
2	5003	2295

prune416.0ms

Filtered

217 candidates to 124 candidates (57.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	217	8	225

Merged error: 0.0b

Counts

225 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
1.6b	(* (/ x (cbrt y)) (- z t))
4.1b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-exp-log`
47×	`add-sqr-sqrt` `prod-exp`
35×	`associate-l` `add-cbrt-cube`
31×	`*-un-lft-identity`
29×	`cbrt-prod` `add-cube-cbrt`
23×	`times-frac`
21×	`cbrt-unprod`
20×	`div-exp`
18×	`pow1`
12×	`associate-r`
11×	`frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
7×	`pow1/3` `unswap-sqr`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `swap-sqr` `pow-prod-down` `flip--`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(* (cbrt y) (cbrt y))
11.0ms	(* (/ x (cbrt y)) (- z t))
18.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
200.0ms	(* (cbrt y) (cbrt y))
185.0ms	(* (/ x (cbrt y)) (- z t))
85.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify122.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	750	1398
1	4192	1060
2	5001	967

prune372.0ms

Filtered

182 candidates to 112 candidates (61.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	5	5
Picked	0	1	1
Done	1	1	2
Total	182	8	190

Merged error: 0.0b

Counts

190 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (* (cbrt y) (cbrt y))))
1.6b	(* (/ x (cbrt y)) (- z t))
2.1b	(* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t)))
2.2b	(* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-times`
79×	`cbrt-div`
70×	`associate-*r/`
50×	`add-exp-log`
34×	`distribute-rgt-in` `distribute-lft-in`
33×	`add-sqr-sqrt` `associate-l`
32×	`pow1`
31×	`associate-*l/`
29×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
26×	`times-frac`
25×	`*-un-lft-identity`
24×	`cbrt-prod`
23×	`add-cube-cbrt`
22×	`flip3--` `flip--`
19×	`pow-prod-down`
14×	`sub-neg`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`*-commutative` `div-inv` `unswap-sqr`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 209

Calls

4 calls:

5.0ms	(cbrt (/ 1 (* (cbrt y) (cbrt y))))
11.0ms	(* (/ x (cbrt y)) (- z t))
13.0ms	(* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t)))
28.0ms	(* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t))))

series1.0s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt (/ 1 (* (cbrt y) (cbrt y))))
183.0ms	(* (/ x (cbrt y)) (- z t))
479.0ms	(* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t)))
85.0ms	(* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t))))

simplify121.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	1041	3867
1	4235	2953
2	5001	2845

prune483.0ms

Filtered

221 candidates to 132 candidates (59.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	221	8	229

Merged error: 0.0b

Counts

229 → 8

regimes210.0ms

Accuracy

44.8% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.5b

bsearch65.0ms

Steps

Iters	Range		Point
7	1.4736563634811015e+71	2.818332401459095e+73	2.0353285098506022e+71
9	-9.326707971220822e-40	-8.035202115274682e-47	-9.15857317781711e-40

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	8
1	24	8

end0.0ms

sample567.0ms

Algorithm

intervals

Results

295.0ms

10630×

body

valid