Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	246×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	14×	body	320	valid
0.0ms	5×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	6

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 15.0b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.3b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.8b	(* (- y z) (/ (- t x) (- a z)))

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	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms	(* (- y z) (/ (- t x) (- a z)))

series367.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- t x) (- a z))
162.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
147.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5002	820

prune670.0ms

Filtered

128 candidates to 88 candidates (31.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 3.7b

Counts

129 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
6.8b	(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
8.2b	(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
142×	`associate-r`
128×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
102×	`cbrt-div`
97×	`cbrt-prod`
66×	`associate-/r/`
58×	`add-cube-cbrt`
53×	`flip3--` `flip--`
34×	`frac-times`
28×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log` `associate-*l/`
17×	`associate-*r/`
13×	`add-cbrt-cube`
9×	`div-inv`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 215

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
56.0ms	(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
3.0ms	(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (- a z))
175.0ms	(cbrt (- a z))
144.0ms	(* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z))))
164.0ms	(+ x (* (- y z) (/ (/ (- t x) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (- a z)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1220	2951
1	5001	2787

prune2.9s

Filtered

227 candidates to 173 candidates (23.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	226	10	236

Merged error: 3.7b

Counts

236 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
3.3b	(* (cbrt (- y z)) (/ (- t x) (- a z)))
3.7b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
7.4b	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

114×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
52×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`associate-*l/`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac` `associate-*r/`
18×	`pow1` `add-cube-cbrt` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-prod` `distribute-lft-out--` `difference-of-squares`
9×	`associate-l` `pow-prod-down`
6×	`add-log-exp`
4×	`unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+` `div-inv`

Counts

4 → 166

Calls

4 calls:

3.0ms	(cbrt (- y z))
19.0ms	(* (cbrt (- y z)) (/ (- t x) (- a z)))
27.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
3.0ms	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (- y z))
703.0ms	(* (cbrt (- y z)) (/ (- t x) (- a z)))
146.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
163.0ms	(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	895	2524
1	3311	2274
2	5002	2231

prune1.1s

Filtered

178 candidates to 101 candidates (43.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	177	11	188

Merged error: 3.7b

Counts

188 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- t x))
1.6b	(+ x (/ (* (- y z) (- t x)) (- a z)))
17.6b	(/ (* (- y z) (- t x)) (- a z))

rewrite32.0ms

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

series356.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- y z) (- t x))
167.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
149.0ms	(/ (* (- y z) (- t x)) (- a z))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	466	583
1	2158	534
2	5001	534

prune351.0ms

Filtered

90 candidates to 64 candidates (28.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	90	11	101

Merged error: 3.7b

Counts

101 → 11

regimes770.0ms

Accuracy

60.2% (4.0b remaining)

Error of 8.3b against oracle of 4.3b and baseline of 14.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	54
1	39	54

end0.0ms

sample939.0ms

Algorithm

intervals

Results

287.0ms	7834×	body	80	valid
62.0ms	469×	body	640	valid
46.0ms	272×	body	1280	valid
39.0ms	363×	body	320	valid
20.0ms	286×	body	160	valid
5.0ms	12×	body	2560	valid

Details

sample36.0ms

simplify72.0ms

prune5.0ms

localize14.0ms

rewrite33.0ms

series367.0ms

simplify52.0ms

prune670.0ms

localize13.0ms

rewrite81.0ms

series662.0ms

simplify50.0ms

prune2.9s

localize13.0ms

rewrite63.0ms

series1.2s

simplify90.0ms

prune1.1s

localize9.0ms

rewrite32.0ms

series356.0ms

simplify54.0ms

prune351.0ms

regimes770.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample939.0ms

Profiling