Details

sample37.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify101.0ms

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

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: 30.7b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
2.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
28.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite38.0ms

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:

6.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series781.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ t y) a)
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
611.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5001	1025

prune304.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	11	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Merged error: 9.9b

Counts

103 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
10.1b	(/ (* y b) (+ (+ x t) y))
24.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

5.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series370.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(/ (* y b) (+ (+ x t) y))
228.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	535	998
1	2664	922
2	5002	922

prune322.0ms

Filtered

118 candidates to 85 candidates (72.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	118	11	129

Merged error: 5.3b

Counts

129 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
10.1b	(/ y (/ (+ (+ x t) y) b))
24.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
132×	`times-frac`
74×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
49×	`distribute-lft-out`
24×	`associate-/r*`
18×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
8×	`frac-add`
6×	`pow1` `div-inv` `associate-/l/` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-l`
3×	`associate-r` `associate-/r/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

6.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(/ y (/ (+ (+ x t) y) b))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series451.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ t y) a)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
168.0ms	(/ y (/ (+ (+ x t) y) b))
216.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify94.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	738	1671
1	3477	1591
2	5001	1590

prune458.0ms

Filtered

185 candidates to 126 candidates (68.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	187	9	196

Merged error: 3.0b

Counts

196 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
3.3b	(* (/ y (+ (+ x t) y)) b)
24.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-l`
17×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 135

Calls

4 calls:

7.0ms	(/ y (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
10.0ms	(* (/ y (+ (+ x t) y)) b)
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series461.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ y (+ (+ x t) y))
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
133.0ms	(* (/ y (+ (+ x t) y)) b)
217.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	562	1213
1	2590	1129
2	5001	1129

prune346.0ms

Filtered

147 candidates to 101 candidates (68.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	147	9	156

Merged error: 3.0b

Counts

156 → 9

regimes405.0ms

Accuracy

13.7% (18.2b remaining)

Error of 21.4b against oracle of 3.3b and baseline of 24.3b

bsearch293.0ms

Steps

Iters	Range		Point
5	6.962131309739537e+44	2.416406824790367e+45	1.3585816266943533e+45
9	1.7400587275218625e-72	1.6956009658043755e-65	7.144165907413302e-70
10	1.358892211813473e-193	2.922713937450519e-177	3.486484850624128e-193
10	-1.0944102077370031e-178	-1.6113017892804053e-197	-1.5530363639877218e-194
8	-6.362417617663023e+119	-1.736707247611152e+116	-1.068911923564288e+118

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	74
1	53	74

end0.0ms

sample899.0ms

Algorithm

intervals

Results

624.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid

Details

sample37.0ms

simplify101.0ms

prune3.0ms

localize13.0ms

rewrite38.0ms

series781.0ms

simplify74.0ms

prune304.0ms

localize20.0ms

rewrite37.0ms

series370.0ms

simplify67.0ms

prune322.0ms

localize15.0ms

rewrite43.0ms

series451.0ms

simplify94.0ms

prune458.0ms

localize18.0ms

rewrite41.0ms

series461.0ms

simplify68.0ms

prune346.0ms

regimes405.0ms

bsearch293.0ms

simplify2.0ms

end0.0ms

sample899.0ms

Profiling