Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 25.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite131.0ms

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:

10.0ms	(* (+ x y) z)
35.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
78.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series733.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
570.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune309.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.9b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (+ x y) z)
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
135.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
92.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
569.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	606	1129
1	2949	1025
2	5001	1005

prune295.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite129.0ms

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:

10.0ms	(* (+ x y) z)
35.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
76.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series732.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
566.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune299.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.2b

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
8.9b	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
15.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
136×	`*-un-lft-identity`
122×	`cbrt-div`
82×	`associate-/r/`
80×	`cbrt-prod`
66×	`flip3-+` `flip-+`
56×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
40×	`frac-times`
28×	`associate-*l/`
20×	`associate-*r/`
18×	`add-exp-log` `associate-/l*`
11×	`add-cbrt-cube` `div-inv` `add-log-exp`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-add`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `associate--l+`

Counts

4 → 224

Calls

4 calls:

34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
99.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
81.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

series3.6s

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
604.0ms	(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (cbrt (+ (+ x t) y)))
2.9s	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

simplify136.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	1108	6213
1	4739	5954
2	5003	5898

prune789.0ms

Filtered

236 candidates to 160 candidates (67.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.8b

regimes383.0ms

Accuracy

20.8% (14.5b remaining)

Error of 19.2b against oracle of 4.7b and baseline of 23.1b

bsearch91.0ms

Steps

Iters	Range		Point
9	1.8414535559113478e+167	1.0591418314876515e+173	2.45442140322551e+170
7	-4.621374255170359e+157	-2.550747777928692e+156	-8.064772440569011e+156

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	14
1	40	14
2	40	14

end0.0ms

sample627.0ms

Algorithm

intervals

Results

366.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid