Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify98.0ms

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

prune4.0ms

Filtered

1 candidates to 0 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: 27.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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))
11.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series187.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
29.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
137.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune157.0ms

Filtered

102 candidates to 76 candidates (25.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Merged error: 9.1b

Counts

103 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
10.4b	(/ (* y b) (+ (+ x t) y))
21.7b	(/ (+ (* (+ 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:

6.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
7.0ms	(/ (* y b) (+ (+ x t) y))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series100.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(/ (* y b) (+ (+ x t) y))
61.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

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

prune142.0ms

Filtered

118 candidates to 85 candidates (28.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Merged error: 4.7b

Counts

128 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
8.5b	(/ y (/ (+ (+ x t) y) b))
21.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite42.0ms

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:

5.0ms	(* (+ 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))

series106.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
28.0ms	(/ y (/ (+ (+ x t) y) b))
57.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (67.0ms)

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

prune169.0ms

Filtered

185 candidates to 125 candidates (32.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	186	9	195

Merged error: 2.3b

Counts

195 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
8.2b	(* y (/ b (+ (+ x t) y)))
21.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

5.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
15.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series98.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(* y (/ b (+ (+ x t) y)))
61.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	588	1063
1	2927	988
2	5003	988

prune104.0ms

Filtered

131 candidates to 93 candidates (29.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	130	10	140

Merged error: 2.3b

Counts

140 → 10

regimes767.0ms

Accuracy

23.3% (16.7b remaining)

Error of 20.0b against oracle of 3.3b and baseline of 25.0b

bsearch107.0ms

Steps

Iters	Range		Point
7	9.599994695928917e+109	2.1268337051623375e+111	4.5258003502936414e+110
10	1.5508692213256021e-61	4.72320611893731e-43	3.0260276027225564e-60
6	-2.5858068208225385e+39	-2.591788481862532e+38	-4.742867092692722e+38
7	-9.380791973073148e+103	-1.8303212865887993e+102	-9.221925430929716e+103
8	-3.0567266053842564e+132	-3.134261594036506e+129	-3.403573312032036e+129

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	47
1	49	47

end0.0ms

sample881.0ms

Algorithm

intervals

Results

419.0ms	7997×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample33.0ms

simplify98.0ms

prune4.0ms

localize13.0ms

rewrite39.0ms

series187.0ms

simplify61.0ms

prune157.0ms

localize14.0ms

rewrite37.0ms

series100.0ms

simplify65.0ms

prune142.0ms

localize14.0ms

rewrite42.0ms

series106.0ms

simplify84.0ms

prune169.0ms

localize14.0ms

rewrite41.0ms

series98.0ms

simplify70.0ms

prune104.0ms

regimes767.0ms

bsearch107.0ms

simplify2.0ms

end0.0ms

sample881.0ms

Profiling