Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify95.0ms

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

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: 27.2b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.0b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite41.0ms

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:

8.0ms	(* (+ x y) z)
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))

series725.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
565.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune293.0ms

Filtered

102 candidates to 74 candidates (72.5%)

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: 7.8b

Counts

103 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.0b	(+ (* (+ x y) z) (* (+ t y) a))
7.5b	(/ (* 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	(* (+ x y) z)
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))

series369.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
71.0ms	(/ (* y b) (+ (+ x t) y))
233.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	538	1000
1	2671	922
2	5002	922

prune309.0ms

Filtered

118 candidates to 83 candidates (70.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 3.9b

Counts

129 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.0b	(+ (* (+ x y) z) (* (+ t y) a))
8.6b	(* y (/ b (+ (+ x t) y)))
21.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite44.0ms

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	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
14.0ms	(* y (/ b (+ (+ x t) y)))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series354.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
74.0ms	(* y (/ b (+ (+ x t) y)))
210.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	591	1065
1	2934	988
2	5001	988

prune329.0ms

Filtered

131 candidates to 91 candidates (69.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	133	10	143

Merged error: 2.6b

Counts

143 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.0b	(+ (* (+ x y) z) (* (+ t y) a))
9.0b	(/ 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:

6.0ms	(* (+ x y) z)
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))

series419.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
140.0ms	(/ y (/ (+ (+ x t) y) b))
214.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify125.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	741	1673
1	3484	1591
2	5001	1590

prune430.0ms

Filtered

185 candidates to 124 candidates (67.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	186	9	195

Merged error: 2.6b

Counts

195 → 9

regimes390.0ms

Accuracy

15.5% (17.5b remaining)

Error of 20.4b against oracle of 2.9b and baseline of 23.6b

bsearch199.0ms

Steps

Iters	Range		Point
8	2.265916191991471e+141	4.965461357868195e+145	3.1135092197043987e+143
7	9.651847403853559e-204	2.3171891508789683e-201	9.590167992060039e-203
7	-6.839508133948694e-210	-1.7010959355894162e-211	-2.729197251649235e-211
10	-6.902909240076935e+103	-6.492537590380074e+92	-3.7659166463064465e+102

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	41
1	44	41

end0.0ms

sample700.0ms

Algorithm

intervals

Results

429.0ms	7997×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid