Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3871	4
13	5002	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: 5.7b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
6.2b	(/ (* y (- z x)) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`times-frac`
32×	`add-cube-cbrt`
25×	`associate-r`
15×	`associate-l`
14×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
4×	`associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 113

Calls

3 calls:

6.0ms	(* y (- z x))
14.0ms	(+ x (/ (* y (- z x)) t))
10.0ms	(/ (* y (- z x)) t)

series145.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* y (- z x))
46.0ms	(+ x (/ (* y (- z x)) t))
53.0ms	(/ (* y (- z x)) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	450	693
1	1830	648
2	5001	648

prune175.0ms

Filtered

122 candidates to 84 candidates (68.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- z x) (/ y t)))
6.4b	(* (- z x) (/ y t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

12.0ms	(+ x (* (- z x) (/ y t)))
11.0ms	(* (- z x) (/ y t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* (- z x) (/ y t)))
48.0ms	(* (- z x) (/ y t))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	387	503
1	1941	480
2	5003	468

prune124.0ms

Filtered

84 candidates to 55 candidates (65.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
6.7b	(/ (- z x) (/ t y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
90×	`*-un-lft-identity`
88×	`add-sqr-sqrt`
60×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 122

Calls

2 calls:

20.0ms	(+ x (/ (- z x) (/ t y)))
9.0ms	(/ (- z x) (/ t y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (/ (- z x) (/ t y)))
50.0ms	(/ (- z x) (/ t y))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	627	978
1	2387	939
2	5001	938

prune195.0ms

Filtered

128 candidates to 90 candidates (70.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	129	5	134

Merged error: 0b

Counts

134 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.9b	(/ (* (cbrt (- z x)) (cbrt (- z x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

rewrite5.3s

Algorithm

rewrite-expression-head

Rules

51899×	`times-frac`
51697×	`cbrt-prod`
51475×	`add-sqr-sqrt`
34439×	`*-un-lft-identity`
24163×	`add-cube-cbrt`
19016×	`swap-sqr`
17548×	`associate-r` `associate-l`
10720×	`unswap-sqr`
4404×	`distribute-lft-out--`
2936×	`difference-of-squares`
2680×	`*-commutative`
760×	`associate-/r*`
389×	`add-cbrt-cube`
304×	`cbrt-unprod`
255×	`cbrt-undiv`
62×	`associate-/l*`
57×	`associate-/r/`
45×	`add-exp-log`
37×	`div-inv`
18×	`div-exp`
13×	`prod-exp`
12×	`cbrt-div`
8×	`associate-/l/`
6×	`flip3--` `flip--`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 26671

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
667.0ms	(/ (* (cbrt (- z x)) (cbrt (- z x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

series754.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt y)
182.0ms	(cbrt y)
183.0ms	(cbrt y)
197.0ms	(/ (* (cbrt (- z x)) (cbrt (- z x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

simplify7.3s

Algorithm

egg-herbie

Counts

26683 → 26683

Iterations

Useful iterations: 0 (303.0ms)

Iter	Nodes	Cost
0	16742	765394

prune1.1m

Filtered

26683 candidates to 12932 candidates (48.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	26683	0	26683
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	26683	5	26688

Merged error: 0b

Counts

26688 → 5

regimes90.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	21
1	19	21

end0.0ms

sample571.0ms

Algorithm

intervals

Results

289.0ms

10626×

body

valid