Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify102.0ms

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

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: 28.2b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.4b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite37.0ms

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	(* (+ t y) a)
7.0ms	(+ (* (+ 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))

series188.0ms

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))
138.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune182.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	87	15	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	15	103

Merged error: 10.5b

Counts

103 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
10.4b	(/ (* y b) (+ (+ x t) y))
22.6b	(/ (+ (* (+ 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	(* (+ 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))

series100.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ t y) a)
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
17.0ms	(/ (* y b) (+ (+ x t) y))
60.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

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

prune164.0ms

Filtered

85 candidates to 118 candidates (-38.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	119	14	133

Merged error: 6.6b

Counts

133 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
8.1b	(* y (/ b (+ (+ x t) y)))
22.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite42.0ms

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-r`
16×	`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-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

7.0ms	(/ b (+ (+ x t) y))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
11.0ms	(* y (/ b (+ (+ x t) y)))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series108.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ b (+ (+ x t) y))
17.0ms	(+ (* (+ 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

147 → 147

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune180.0ms

Filtered

100 candidates to 147 candidates (-47.0%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	146	15	161

Merged error: 5.0b

Counts

161 → 15

localize20.0ms

Local error

Found 4 expressions with local error:

13.4b	(cbrt (* y (/ b (+ (+ x t) y))))
13.4b	(cbrt (* y (/ b (+ (+ x t) y))))
13.4b	(cbrt (* y (/ b (+ (+ x t) y))))
22.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-*l/`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `associate-/l/`
5×	`associate-/r*`
4×	`pow1` `frac-add` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r/` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 73

Calls

4 calls:

8.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
9.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
7.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
14.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
68.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
69.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
58.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	330	836
1	1296	769
2	5001	748

prune87.0ms

Filtered

68 candidates to 85 candidates (-25.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	87	13	100

Merged error: 5.0b

Counts

100 → 13

regimes940.0ms

Accuracy

25% (17.9b remaining)

Error of 20.9b against oracle of 3.1b and baseline of 26.9b

bsearch125.0ms

Steps

Iters	Range		Point
9	3.8767660988577786e+276	5.455256514752023e+283	4.58538274402549e+277
10	6.1770919116575425e+152	1.8920364076251292e+167	2.3880130878574648e+153
7	2.848242686280558e+68	1.7291254296880415e+70	1.3148444083135898e+70
1	4436806.50210814	4838564.2946156785	4537245.950235024
8	1.2710885578421928e-18	5.26430419943416e-14	5.178890595217943e-14
7	-4.517796736972032e+124	-1.221855762918439e+123	-3.534571593041926e+123

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	77
1	69	77

end0.0ms

sample928.0ms

Algorithm

intervals

Results

437.0ms	7995×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample35.0ms

simplify102.0ms

prune4.0ms

localize17.0ms

rewrite37.0ms

series188.0ms

simplify66.0ms

prune182.0ms

localize14.0ms

rewrite36.0ms

series100.0ms

simplify66.0ms

prune164.0ms

localize15.0ms

rewrite42.0ms

series108.0ms

simplify70.0ms

prune180.0ms

localize20.0ms

rewrite40.0ms

series264.0ms

simplify41.0ms

prune87.0ms

regimes940.0ms

bsearch125.0ms

simplify2.0ms

end0.0ms

sample928.0ms

Profiling