Details

analyze979.0ms

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

7.0ms	196×	body	80	valid
3.0ms	20×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	8×	body	1280	valid
1.0ms	29×	body	80	invalid
1.0ms	11×	body	160	valid
0.0ms	1×	body	2560	valid

simplify67.0ms

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

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: 29.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.6b	(+ x (/ (* (- y x) (- z t)) (- a t)))
20.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite29.0ms

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:

8.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
11.0ms	(/ (* (- y x) (- z t)) (- a t))

series90.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
50.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
31.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune142.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	12	91

Merged error: 6.9b

Counts

91 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(* (- y x) (/ (- z t) (- a t)))
3.6b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite31.0ms

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:

7.0ms	(/ (- z t) (- a t))
16.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series94.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (- z t) (- a t))
31.0ms	(* (- y x) (/ (- z t) (- a t)))
52.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

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

prune144.0ms

Filtered

82 candidates to 128 candidates (-56.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	127	13	140

Merged error: 6.8b

Counts

140 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(/ (- y x) (/ (- a t) (- z t)))
3.6b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite84.0ms

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:

7.0ms	(/ (- a t) (- z t))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series100.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
43.0ms	(/ (- y x) (/ (- a t) (- z t)))
48.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify100.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (21.0ms)

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

prune221.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	279	4	283
Fresh	3	8	11
Picked	0	1	1
Done	1	0	1
Total	283	13	296

Merged error: 6.6b

Counts

296 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
11.6b	(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y x))
25.0ms	(cbrt (- y x))
28.0ms	(cbrt (- y x))
47.0ms	(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

simplify142.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	260	701
1	779	645
2	4447	611
3	5001	593

prune70.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	68	13	81

Merged error: 6.6b

Counts

81 → 13

regimes532.0ms

Accuracy

9.5% (7.0b remaining)

Error of 11.3b against oracle of 4.3b and baseline of 12.1b

bsearch2.7s

Steps

Iters	Range		Point
8	5.770551991835934e-139	6.146215353820633e-136	3.270939321461567e-136
9	-3.551659222898207e-204	-9.224041497085483e-210	-2.4148029918640375e-204

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18

end0.0ms

analyze986.0ms

Algorithm: search

sample779.0ms

Algorithm

intervals

Results

252.0ms	6507×	body	80	valid
71.0ms	493×	body	640	valid
56.0ms	433×	body	320	valid
45.0ms	1253×	body	80	invalid
45.0ms	261×	body	1280	valid
20.0ms	284×	body	160	valid
5.0ms	22×	body	2560	valid

Details

analyze979.0ms

sample28.0ms

simplify67.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series90.0ms

simplify52.0ms

prune142.0ms

localize9.0ms

rewrite31.0ms

series94.0ms

simplify54.0ms

prune144.0ms

localize9.0ms

rewrite84.0ms

series100.0ms

simplify100.0ms

prune221.0ms

localize19.0ms

rewrite12.0ms

series125.0ms

simplify142.0ms

prune70.0ms

regimes532.0ms

bsearch2.7s

simplify1.0ms

end0.0ms

analyze986.0ms

sample779.0ms

Profiling