Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify108.0ms

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

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: 6.9b

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))
7.6b	(/ (* y (- z x)) t)

rewrite19.0ms

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:

6.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(/ (* y (- z x)) t)

series121.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* y (- z x))
35.0ms	(+ x (/ (* y (- z x)) t))
50.0ms	(/ (* y (- z x)) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (11.0ms)

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

prune124.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ t (- z x))))
0.0b	(/ t (- z x))
5.5b	(/ y (/ t (- z x)))

rewrite40.0ms

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:

18.0ms	(+ x (/ y (/ t (- z x))))
5.0ms	(/ t (- z x))
9.0ms	(/ y (/ t (- z x)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ y (/ t (- z x))))
29.0ms	(/ t (- z x))
56.0ms	(/ y (/ t (- z x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (52.0ms)

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

prune322.0ms

Filtered

160 candidates to 119 candidates (74.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	163	5	168

Merged error: 0.0b

Counts

168 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y t) (- z x)))
7.5b	(* (/ y t) (- z x))

rewrite15.0ms

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-+r+` `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:

4.0ms	(+ x (* (/ y t) (- z x)))
9.0ms	(* (/ y t) (- z x))

series91.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (/ y t) (- z x)))
56.0ms	(* (/ y t) (- z x))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	315	335
1	1214	299
2	5002	299

prune99.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0.0b

Counts

68 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b	(/ 1 (- z x))
7.6b	(/ (/ y t) (/ 1 (- z x)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
387×	`*-un-lft-identity`
385×	`add-sqr-sqrt`
293×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 384

Calls

3 calls:

63.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
6.0ms	(/ 1 (- z x))
16.0ms	(/ (/ y t) (/ 1 (- z x)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
38.0ms	(/ 1 (- z x))
53.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1704	4274
1	5001	3895

prune610.0ms

Filtered

393 candidates to 216 candidates (55.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	393	5	398

Merged error: 0.0b

Counts

398 → 5

regimes105.0ms

Accuracy

11.4% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch59.0ms

Steps

Iters	Range		Point
4	2.4418224760750303e-64	4.085740160578334e-64	4.015719007857352e-64
8	-1.2649793061547783e-105	-1.6257204523440902e-109	-1.242968405003153e-105

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample546.0ms

Algorithm

intervals

Results

289.0ms

10610×

body

valid