Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

356×

body

valid

simplify105.0ms

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	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: 6.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.2b	(/ (* 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))
5.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(/ (* y (- z x)) t)

series118.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* y (- z x))
35.0ms	(+ x (/ (* y (- z x)) t))
50.0ms	(/ (* y (- z x)) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune148.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ x (/ y (/ t (- z x))))
6.5b	(/ y (/ t (- z x)))

rewrite44.0ms

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:

5.0ms	(/ t (- z x))
23.0ms	(+ x (/ y (/ t (- z x))))
9.0ms	(/ y (/ t (- z x)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ t (- z x))
41.0ms	(+ x (/ y (/ t (- z x))))
51.0ms	(/ y (/ t (- z x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (49.0ms)

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

prune581.0ms

Filtered

160 candidates to 119 candidates (74.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	160	7	167

Merged error: 0b

Counts

167 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y t) (- z x)))
6.6b	(* (/ y t) (- z x))

rewrite14.0ms

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:

3.0ms	(+ x (* (/ y t) (- z x)))
9.0ms	(* (/ y t) (- z x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (/ y t) (- z x)))
54.0ms	(* (/ y t) (- z x))

simplify38.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune135.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	63	7	70

Merged error: 0b

Counts

70 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z x))
0.0b	(+ x (/ (/ y t) (/ 1 (- z x))))
6.7b	(/ (/ y t) (/ 1 (- z x)))

rewrite114.0ms

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:

5.0ms	(/ 1 (- z x))
61.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
15.0ms	(/ (/ y t) (/ 1 (- z x)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- z x))
38.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
51.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1704	4274
1	5001	3890

prune754.0ms

Filtered

393 candidates to 216 candidates (55.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	393	7	400

Merged error: 0b

Counts

400 → 7

regimes132.0ms

Accuracy

-33.5% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 1.9b

bsearch47.0ms

Steps

Iters	Range		Point
6	1.6734209143969258e-241	7.710247183460173e-241	1.6988391527505147e-241
6	-2.906944940673863e-48	-2.1322320813282772e-49	-2.1832233794878784e-49

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	8
1	24	8

end0.0ms

sample586.0ms

Algorithm

intervals

Results

300.0ms

10749×

body

valid