Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

270×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

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: 1.2b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
6.9b	(/ x (* (- y z) (- y t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- y z) (- y t))
57.0ms	(/ x (* (- y z) (- y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	304	403
1	1399	360
2	5002	360

prune164.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
1.6b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

5.0ms	(/ 1 (- y z))
5.0ms	(/ x (- y t))
22.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- y z))
31.0ms	(/ x (- y t))
127.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	522	909
1	2258	798
2	5001	758

prune313.0ms

Filtered

159 candidates to 98 candidates (61.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	159	5	164

Merged error: 0b

Counts

164 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.6b	(* (/ 1 (- y z)) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (cbrt x) (cbrt (- y t)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

227×	`add-exp-log`
116×	`prod-exp`
74×	`div-exp`
69×	`add-cbrt-cube`
58×	`cbrt-unprod`
37×	`cbrt-undiv`
22×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`associate-l`
16×	`add-cube-cbrt`
15×	`times-frac`
11×	`rec-exp` `1-exp`
9×	`pow1` `cbrt-prod`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/`
1×	`flip3--` `associate-r` `*-commutative` `flip--` `div-inv`

Counts

4 → 138

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
33.0ms	(* (/ 1 (- y z)) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (cbrt x) (cbrt (- y t)))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
193.0ms	(cbrt x)
177.0ms	(cbrt x)
156.0ms	(* (/ 1 (- y z)) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (cbrt x) (cbrt (- y t)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	775	2429
1	4233	1568
2	5001	987

prune288.0ms

Filtered

150 candidates to 71 candidates (47.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	150	5	155

Merged error: 0b

Counts

155 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- y t))
0.2b	(pow (/ x (* (- y z) (- y t))) 3)
6.9b	(/ x (* (- y z) (- y t)))
21.8b	(cbrt (pow (/ x (* (- y z) (- y t))) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-/r/`
36×	`cbrt-prod` `flip3--` `flip--`
30×	`unpow-prod-down` `cube-prod`
24×	`add-sqr-sqrt` `frac-times`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
12×	`associate-r/` `associate-l/`
7×	`pow1`
5×	`associate-r` `associate-l` `div-inv`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow-unpow` `pow-exp` `prod-exp` `cbrt-unprod` `associate-/l*` `rem-cube-cbrt`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `sub-neg` `distribute-lft-in` `unpow3` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

9.0ms	(* (- y z) (- y t))
11.0ms	(pow (/ x (* (- y z) (- y t))) 3)
9.0ms	(/ x (* (- y z) (- y t)))
7.0ms	(cbrt (pow (/ x (* (- y z) (- y t))) 3))

series265.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- y z) (- y t))
107.0ms	(pow (/ x (* (- y z) (- y t))) 3)
59.0ms	(/ x (* (- y z) (- y t)))
72.0ms	(cbrt (pow (/ x (* (- y z) (- y t))) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	586	1243
1	3190	1183
2	5003	1177

prune374.0ms

Filtered

173 candidates to 100 candidates (57.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	173	5	178

Merged error: 0b

Counts

178 → 5

regimes197.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample432.0ms

Algorithm

intervals

Results

234.0ms

8422×

body

valid