Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

330×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	3873	4
13	5001	4

prune6.0ms

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: 7.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
8.3b	(/ (* y (- z x)) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `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` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(* y (- z x))
7.0ms	(/ (* y (- z x)) t)

series137.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (/ (* y (- z x)) t))
44.0ms	(* y (- z x))
53.0ms	(/ (* y (- z x)) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune138.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.8b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
24.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt t)
198.0ms	(cbrt t)
190.0ms	(cbrt t)
106.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	480	918
1	2615	741
2	5001	706

prune309.0ms

Filtered

116 candidates to 89 candidates (76.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z x) t)))
0.0b	(/ (- z x) t)
6.0b	(* y (/ (- z x) t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z x) t)))
6.0ms	(/ (- z x) t)
15.0ms	(* y (/ (- z x) t))

series129.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (* y (/ (- z x) t)))
29.0ms	(/ (- z x) t)
54.0ms	(* y (/ (- z x) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	342	498
1	1398	465
2	5001	453

prune186.0ms

Filtered

96 candidates to 65 candidates (67.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ x (/ y (/ t (- z x))))
6.3b	(/ y (/ t (- z x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

6.0ms	(/ t (- z x))
19.0ms	(+ x (/ y (/ t (- z x))))
10.0ms	(/ y (/ t (- z x)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ t (- z x))
40.0ms	(+ x (/ y (/ t (- z x))))
64.0ms	(/ y (/ t (- z x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	539	1150
1	2368	1110
2	5001	1107

prune334.0ms

Filtered

160 candidates to 119 candidates (74.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	160	7	167

Merged error: 0.0b

Counts

167 → 7

regimes112.0ms

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	16	14
1	16	14

end0.0ms

sample547.0ms

Algorithm

intervals

Results

288.0ms

10606×

body

valid