Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 2.6b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
33×	`times-frac`
23×	`associate-l`
22×	`add-cube-cbrt`
21×	`unswap-sqr`
20×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `prod-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

27.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
22.0ms	(* 1.1283791670955126 (exp z))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	379	997
1	1266	958
2	5001	957

prune222.0ms

Filtered

124 candidates to 83 candidates (33.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

340×	`add-sqr-sqrt`
276×	`times-frac`
275×	`*-un-lft-identity`
122×	`add-cube-cbrt`
79×	`associate-l`
76×	`distribute-lft-out--`
73×	`unswap-sqr`
72×	`difference-of-squares`
43×	`associate-/r*`
30×	`associate-/l*`
20×	`add-exp-log`
19×	`associate-/r/`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `remove-double-div` `add-log-exp`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`flip3--` `frac-2neg` `associate-r` `flip--`
2×	`rec-exp` `1-exp` `prod-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 297

Calls

4 calls:

8.0ms	(* 1.1283791670955126 (exp z))
25.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series217.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 1.1283791670955126 (exp z))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
65.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
83.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify118.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	797	3206
1	3641	2961
2	5001	2762

prune386.0ms

Filtered

309 candidates to 139 candidates (55.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	305	4	309
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	310	4	314

Merged error: 0.0b

Counts

314 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp z) y)
0.0b	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
47×	`times-frac`
35×	`add-cube-cbrt`
18×	`add-exp-log`
14×	`associate-/r*`
13×	`associate-r` `add-cbrt-cube`
12×	`difference-of-squares`
10×	`associate-/l*` `unswap-sqr`
9×	`associate-*r/`
8×	`distribute-lft-out--`
7×	`pow1` `associate-l`
6×	`div-exp` `add-log-exp`
4×	`clear-num` `div-inv`
3×	`cbrt-undiv` `frac-2neg` `prod-exp`
2×	`associate-/r/` `un-div-inv` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `pow-prod-down` `sum-log` `*-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 137

Calls

4 calls:

4.0ms	(/ (exp z) y)
23.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
18.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series154.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (exp z) y)
45.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
65.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
26.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	481	1007
1	1885	942
2	5001	903

prune228.0ms

Filtered

149 candidates to 92 candidates (38.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	150	3	153

Merged error: 0.0b

Counts

153 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* (cbrt y) (cbrt y))

series758.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
182.0ms	(cbrt y)
187.0ms	(cbrt y)
205.0ms	(* (cbrt y) (cbrt y))

simplify96.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	124	311
1	520	267
2	3231	241
3	5001	238

prune196.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

regimes111.0ms

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	18	11
1	18	11

end0.0ms

sample417.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid