Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	248×	body	80	valid
3.0ms	20×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	8×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

prune2.0ms

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: 25.7b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.0b	(/ (* (- y x) (- z t)) (- a t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series287.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (- y x) (- z t))
147.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
107.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune219.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	77	13	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	13	91

Merged error: 4.5b

Counts

91 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
16.0ms	(/ (- y x) (/ (- a t) (- z t)))
44.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series406.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- a t) (- z t))
205.0ms	(/ (- y x) (/ (- a t) (- z t)))
154.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify110.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune530.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	7	5	12
Picked	0	1	1
Done	0	0	0
Total	283	13	296

Merged error: 4.4b

Counts

296 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.9b	(* (- y x) (/ (- z t) (- a t)))
2.1b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
17.0ms	(* (- y x) (/ (- z t) (- a t)))
4.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series312.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- z t) (- a t))
110.0ms	(* (- y x) (/ (- z t) (- a t)))
153.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5002	820

prune261.0ms

Filtered

128 candidates to 86 candidates (67.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	128	13	141

Merged error: 4.4b

Counts

141 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.9b	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.5b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ 1 (- a t))
13.0ms	(* (- z t) (/ 1 (- a t)))
19.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (- a t))
46.0ms	(* (- z t) (/ 1 (- a t)))
107.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
150.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	586	1025
1	2802	908
2	5003	863

prune249.0ms

Filtered

158 candidates to 97 candidates (61.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	158	13	171

Merged error: 4.4b

Counts

171 → 13

regimes253.0ms

Accuracy

17.8% (6.3b remaining)

Error of 10.6b against oracle of 4.3b and baseline of 12.0b

bsearch93.0ms

Steps

Iters	Range		Point
11	8.243695439216637e-162	1.4389477202597767e-135	2.643952871875976e-144
4	-1.3000271483691138e-217	-7.198043580669863e-218	-1.2760606004881373e-217

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample832.0ms

Algorithm

intervals

Results

334.0ms	7735×	body	80	valid
84.0ms	499×	body	640	valid
57.0ms	286×	body	1280	valid
53.0ms	400×	body	320	valid
25.0ms	300×	body	160	valid
4.0ms	14×	body	2560	valid

Details

sample29.0ms

simplify64.0ms

prune2.0ms

localize13.0ms

rewrite31.0ms

series287.0ms

simplify52.0ms

prune219.0ms

localize10.0ms

rewrite103.0ms

series406.0ms

simplify110.0ms

prune530.0ms

localize10.0ms

rewrite33.0ms

series312.0ms

simplify52.0ms

prune261.0ms

localize11.0ms

rewrite47.0ms

series341.0ms

simplify72.0ms

prune249.0ms

regimes253.0ms

bsearch93.0ms

simplify1.0ms

end0.0ms

sample832.0ms

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