Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

375×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.1b	(* (* a z) b)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series175.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (* y z))
43.0ms	(+ (+ x (* y z)) (* t a))
81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune154.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ t (* z b))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.4b	(* a (+ t (* z b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sum-log`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-+r+` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

3.0ms	(+ x (* a (+ t (* z b))))
3.0ms	(+ t (* z b))
5.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms	(* a (+ t (* z b)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ x (* a (+ t (* z b))))
25.0ms	(+ t (* z b))
86.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
57.0ms	(* a (+ t (* z b)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	325	392
1	1353	363
2	5001	363

prune152.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z b) (* z b))
2.8b	(- (* t t) (* (* z b) (* z b)))
10.4b	(* a (- (* t t) (* (* z b) (* z b))))
19.0b	(/ (* a (- (* t t) (* (* z b) (* z b)))) (- t (* z b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`flip3--` `associate-r/` `associate-l*` `pow-sqr` `pow-prod-up` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

6.0ms	(* (* z b) (* z b))
3.0ms	(- (* t t) (* (* z b) (* z b)))
6.0ms	(* a (- (* t t) (* (* z b) (* z b))))
9.0ms	(/ (* a (- (* t t) (* (* z b) (* z b)))) (- t (* z b)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* z b) (* z b))
76.0ms	(- (* t t) (* (* z b) (* z b)))
162.0ms	(* a (- (* t t) (* (* z b) (* z b))))
137.0ms	(/ (* a (- (* t t) (* (* z b) (* z b)))) (- t (* z b)))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	388	774
1	2164	635
2	5001	635

prune192.0ms

Filtered

109 candidates to 61 candidates (56.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z b) (* z b))
2.5b	(/ a (/ (- t (* z b)) (- (* t t) (* (* z b) (* z b)))))
2.8b	(- (* t t) (* (* z b) (* z b)))
27.2b	(/ (- t (* z b)) (- (* t t) (* (* z b) (* z b))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
43×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
22×	`associate-/r*`
17×	`pow-prod-down` `difference-of-squares`
11×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`flip3--` `flip--`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `pow-sqr` `pow-prod-up`
2×	`frac-2neg` `pow-plus` `clear-num` `associate-/l/`
1×	`pow2` `sub-neg` `diff-log` `div-sub` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 173

Calls

4 calls:

6.0ms	(* (* z b) (* z b))
9.0ms	(/ a (/ (- t (* z b)) (- (* t t) (* (* z b) (* z b)))))
3.0ms	(- (* t t) (* (* z b) (* z b)))
7.0ms	(/ (- t (* z b)) (- (* t t) (* (* z b) (* z b))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* z b) (* z b))
133.0ms	(/ a (/ (- t (* z b)) (- (* t t) (* (* z b) (* z b)))))
78.0ms	(- (* t t) (* (* z b) (* z b)))
69.0ms	(/ (- t (* z b)) (- (* t t) (* (* z b) (* z b))))

simplify113.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	655	2268
1	3840	2036
2	5002	1969

prune418.0ms

Filtered

185 candidates to 135 candidates (73.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	186	5	191

Merged error: 0.0b

Counts

191 → 5

regimes207.0ms

Accuracy

66.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch96.0ms

Steps

Iters	Range		Point
8	4.178500766599964e-170	5.385736700012628e-167	1.399821470611187e-169
7	-1.4589195677542865e+81	-1.9189793615914056e+79	-2.2442947297478706e+79

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	14
1	42	14

end0.0ms

sample938.0ms

Algorithm

intervals

Results

542.0ms

11823×

body

valid