Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

268×

body

valid

simplify145.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	69	4
3	182	4
4	401	4
5	659	4
6	1403	4
7	1837	4
8	2387	4
9	2759	4
10	2763	4
11	2763	4

prune3.0ms

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: 8.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
8.5b	(/ x (* (- y z) (- t z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
48×	`times-frac`
45×	`add-cube-cbrt`
25×	`associate-r` `associate-l`
18×	`prod-diff`
16×	`associate-/r*`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`*-commutative` `unswap-sqr`
4×	`pow1` `associate-r/` `associate-l/`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 145

Calls

2 calls:

11.0ms	(* (- y z) (- t z))
16.0ms	(/ x (* (- y z) (- t z)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- y z) (- t z))
151.0ms	(/ x (* (- y z) (- t z)))

simplify109.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	546	1211
1	2492	1041
2	5001	1038

prune372.0ms

Filtered

151 candidates to 99 candidates (65.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	6	152

Merged error: 0.0b

Counts

152 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.9b	(* (/ (cbrt x) (/ (- y z) (cbrt x))) (/ (cbrt x) (- t z)))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

1063×	`add-sqr-sqrt`
970×	`*-un-lft-identity`
910×	`times-frac`
736×	`associate-/r*`
644×	`cbrt-prod`
615×	`add-cube-cbrt`
602×	`frac-times`
363×	`associate-/l*`
224×	`associate-l`
177×	`distribute-lft-out--` `difference-of-squares`
68×	`add-cbrt-cube`
61×	`clear-num`
60×	`frac-2neg`
44×	`cbrt-undiv`
43×	`associate-*l/`
36×	`associate-r`
25×	`add-exp-log`
24×	`unswap-sqr`
23×	`div-inv`
21×	`associate-/r/` `cbrt-unprod`
14×	`associate-*r/`
9×	`div-exp`
6×	`pow1` `prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `un-div-inv` `flip--` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 1022

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
155.0ms	(* (/ (cbrt x) (/ (- y z) (cbrt x))) (/ (cbrt x) (- t z)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt x)
213.0ms	(cbrt x)
203.0ms	(cbrt x)
181.0ms	(* (/ (cbrt x) (/ (- y z) (cbrt x))) (/ (cbrt x) (- t z)))

simplify261.0ms

Algorithm

egg-herbie

Counts

1034 → 1034

Iterations

Useful iterations: 1 (117.0ms)

Iter	Nodes	Cost
0	3770	14976
1	5001	14828

prune3.3s

Filtered

1034 candidates to 696 candidates (67.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1033	1	1034
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	1033	7	1040

Merged error: 0b

Counts

1040 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))
0.9b	(* (/ (cbrt x) (/ (- y z) (cbrt x))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z)))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

9222×	`add-sqr-sqrt`
8727×	`cbrt-prod`
3880×	`*-un-lft-identity`
3812×	`times-frac`
3793×	`associate-/l*`
3526×	`frac-times`
3048×	`associate-/r*`
2850×	`unswap-sqr`
2572×	`add-cube-cbrt`
1995×	`associate-l`
1117×	`associate-r`
653×	`distribute-lft-out--` `difference-of-squares`
642×	`swap-sqr`
271×	`*-commutative`
153×	`add-cbrt-cube`
129×	`clear-num`
128×	`frac-2neg`
95×	`cbrt-undiv`
91×	`div-inv`
82×	`associate-*r/`
70×	`cbrt-unprod`
50×	`associate-/r/`
43×	`associate-*l/`
40×	`add-exp-log`
15×	`div-exp`
12×	`prod-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `un-div-inv`
2×	`flip3--` `flip--` `associate-/l/`
1×	`pow-prod-down`

Counts

4 → 4638

Calls

4 calls:

2.0ms	(cbrt x)
8.0ms	(cbrt (* (cbrt x) (cbrt x)))
2.0ms	(cbrt (cbrt x))
1.1s	(* (/ (cbrt x) (/ (- y z) (cbrt x))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt x)
330.0ms	(cbrt (* (cbrt x) (cbrt x)))
287.0ms	(cbrt (cbrt x))
187.0ms	(* (/ (cbrt x) (/ (- y z) (cbrt x))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z)))

simplify1.4s

Algorithm

egg-herbie

Counts

4650 → 4650

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5001	120880

prune15.9s

Filtered

4650 candidates to 2942 candidates (63.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	4649	1	4650
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	4651	6	4657

Merged error: 0b

Counts

4657 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.6b	(/ (/ x (- y z)) (- t z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
180×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
45×	`distribute-lft-out--` `difference-of-squares`
27×	`associate-/l*`
16×	`associate-/r/`
15×	`associate-/r*`
11×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 199

Calls

2 calls:

5.0ms	(/ x (- y z))
13.0ms	(/ (/ x (- y z)) (- t z))

series160.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x (- y z))
126.0ms	(/ (/ x (- y z)) (- t z))

simplify75.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	659	1792
1	2393	1748
2	5002	1748

prune461.0ms

Filtered

205 candidates to 139 candidates (67.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	205	6	211

Merged error: 0b

Counts

211 → 6

regimes166.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	15
1	17	15

end0.0ms

sample431.0ms

Algorithm

intervals

Results

220.0ms

8478×

body

valid