Details

analyze1.4s

Algorithm: search

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify101.0ms

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

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: 26.9b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
25.3b	(/ (- (+ (* (+ 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:

5.0ms	(* (+ x y) z)
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series210.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
157.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune148.0ms

Filtered

74 candidates to 102 candidates (-37.8%)

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: 8.4b

Counts

103 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
8.8b	(/ (* y b) (+ (+ x t) y))
22.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite36.0ms

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	(* (+ 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))

series103.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(/ (* y b) (+ (+ x t) y))
64.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	538	1000
1	2671	922
2	5001	922

prune149.0ms

Filtered

83 candidates to 118 candidates (-42.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	117	11	128

Merged error: 4.5b

Counts

128 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
11.8b	(* y (/ b (+ (+ x t) y)))
22.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite43.0ms

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

series102.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(* y (/ b (+ (+ x t) y)))
63.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	591	1065
1	2934	988
2	5002	988

prune152.0ms

Filtered

91 candidates to 131 candidates (-44.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	131	11	142

Merged error: 2.7b

Counts

142 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
12.4b	(/ y (/ (+ (+ x t) y) b))
22.0b	(/ (+ (* (+ 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:

5.0ms	(* (+ 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))

series111.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
29.0ms	(/ y (/ (+ (+ x t) y) b))
60.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (66.0ms)

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

prune154.0ms

Filtered

124 candidates to 185 candidates (-49.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	186	10	196

Merged error: 2.7b

Counts

196 → 10

regimes867.0ms

Accuracy

54.5% (9.5b remaining)

Error of 12.3b against oracle of 2.8b and baseline of 23.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	43
1	40	43

end0.0ms

analyze1.3s

Algorithm: search

sample682.0ms

Algorithm

intervals

Results

433.0ms	7990×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze1.4s

sample26.0ms

simplify101.0ms

prune4.0ms

localize13.0ms

rewrite38.0ms

series210.0ms

simplify62.0ms

prune148.0ms

localize17.0ms

rewrite36.0ms

series103.0ms

simplify68.0ms

prune149.0ms

localize15.0ms

rewrite43.0ms

series102.0ms

simplify75.0ms

prune152.0ms

localize15.0ms

rewrite43.0ms

series111.0ms

simplify84.0ms

prune154.0ms

regimes867.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze1.3s

sample682.0ms

Profiling