Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

270×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 85

Calls

2 calls:

10.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
59.0ms	(/ x (* (- y z) (- y t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	390	703
1	1853	534
2	5003	534

prune173.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Merged error: 0b

Counts

92 → 5

localize8.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `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 → 156

Calls

3 calls:

6.0ms	(/ 1 (- y z))
5.0ms	(/ x (- y t))
22.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- y z))
30.0ms	(/ x (- y t))
125.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	532	932
1	2278	821
2	5001	789

prune307.0ms

Filtered

165 candidates to 104 candidates (63.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Merged error: 0b

Counts

170 → 5

localize16.0ms

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)))))

rewrite47.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 146

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)))))

series673.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
172.0ms	(cbrt x)
173.0ms	(cbrt x)
149.0ms	(* (/ 1 (- y z)) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (cbrt x) (cbrt (- y t)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	781	2476
1	4247	1615
2	5001	1033

prune309.0ms

Filtered

158 candidates to 79 candidates (50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	158	5	163

Merged error: 0b

Counts

163 → 5

localize12.0ms

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))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-/r/`
36×	`cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
34×	`*-un-lft-identity`
30×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
24×	`frac-times`
18×	`prod-diff`
17×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
12×	`associate-r/` `associate-l/`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
5×	`associate-r` `associate-l` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-exp` `prod-exp` `cbrt-unprod` `associate-/l*` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `sub-neg` `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 → 187

Calls

4 calls:

10.0ms	(* (- y z) (- y t))
12.0ms	(pow (/ x (* (- y z) (- y t))) 3)
10.0ms	(/ x (* (- y z) (- y t)))
7.0ms	(cbrt (pow (/ x (* (- y z) (- y t))) 3))

series273.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- y z) (- y t))
107.0ms	(pow (/ x (* (- y z) (- y t))) 3)
62.0ms	(/ x (* (- y z) (- y t)))
78.0ms	(cbrt (pow (/ x (* (- y z) (- y t))) 3))

simplify102.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	676	1553
1	3643	1355
2	5001	1349

prune418.0ms

Filtered

199 candidates to 110 candidates (55.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	199	5	204

Merged error: 0b

Counts

204 → 5

regimes189.0ms

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

sample458.0ms

Algorithm

intervals

Results

241.0ms

8422×

body

valid