Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
3.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
28.1b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (+ t y) a)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
74.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series727.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
565.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune316.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
3.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
28.2b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

17.0ms	(/ 1 (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
128.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (+ (+ x t) y))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
563.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	562	1271
1	2768	1148
2	5002	1106

prune313.0ms

Filtered

130 candidates to 76 candidates (58.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
3.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
28.1b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (+ t y) a)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
73.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series742.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
575.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune304.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
3.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
28.1b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

52.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
59.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

558.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
93.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
94.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify85.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	703	3190
1	3355	2979
2	5002	2861

prune369.0ms

Filtered

188 candidates to 97 candidates (51.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.2b

regimes436.0ms

Accuracy

53.3% (11.4b remaining)

Error of 16.0b against oracle of 4.6b and baseline of 29.0b

bsearch68.0ms

Steps

Iters	Range		Point
3	2.9628054379327865e+112	3.641464327895606e+112	3.0052216185554625e+112
9	-6.011343188368855e+49	-4.255856865503309e+42	-1.5789142602105122e+46

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	14
1	45	14
2	45	14

end0.0ms

sample602.0ms

Algorithm

intervals

Results

351.0ms	8000×	body	80	valid
0.0ms	1×	body	640	valid