Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

270×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 1.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
10.1b	(/ 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)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- y z) (- y t))
57.0ms	(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

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

prune166.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.4b	(/ 1 (* (- y z) (- y t)))
9.7b	(* x (/ 1 (* (- y z) (- y t))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`associate-r`
19×	`add-cbrt-cube`
18×	`flip3--` `prod-diff` `flip--`
16×	`associate-/r/`
14×	`prod-exp`
12×	`frac-times`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
8×	`div-exp` `associate-l`
7×	`associate-*r/`
6×	`times-frac` `associate-*l/` `cbrt-unprod`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `pow-flip` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

3 → 134

Calls

3 calls:

10.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (* (- y z) (- y t)))
14.0ms	(* x (/ 1 (* (- y z) (- y t))))

series146.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y z) (- y t))
58.0ms	(/ 1 (* (- y z) (- y t)))
58.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify72.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	515	1000
1	2682	783
2	5002	773

prune228.0ms

Filtered

143 candidates to 85 candidates (59.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	144	6	150

Merged error: 0b

Counts

150 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.7b	(/ 1 (/ (* (- y z) (- y t)) x))
10.0b	(/ (* (- y z) (- y t)) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`times-frac`
35×	`add-cube-cbrt`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/r*`
8×	`frac-times` `associate-/l/`
7×	`cbrt-undiv`
6×	`pow1` `div-inv`
5×	`associate-r` `associate-l` `prod-exp`
4×	`associate-r/` `associate-l/` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 143

Calls

3 calls:

10.0ms	(* (- y z) (- y t))
10.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
12.0ms	(/ (* (- y z) (- y t)) x)

series197.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (- y z) (- y t))
124.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
48.0ms	(/ (* (- y z) (- y t)) x)

simplify92.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	617	1160
1	3382	930
2	5001	893

prune229.0ms

Filtered

152 candidates to 85 candidates (55.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	152	6	158

Merged error: 0b

Counts

158 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y t))
0.0b	(/ x (- y z))
2.0b	(* (/ x (- y z)) (/ 1 (- y t)))

rewrite40.0ms

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/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 157

Calls

3 calls:

6.0ms	(/ 1 (- y t))
5.0ms	(/ x (- y z))
23.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- y t))
31.0ms	(/ x (- y z))
54.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	541	934
1	2227	819
2	5001	777

prune249.0ms

Filtered

166 candidates to 105 candidates (63.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	166	6	172

Merged error: 0b

Counts

172 → 6

regimes147.0ms

Accuracy

59.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.8b

bsearch61.0ms

Steps

Iters	Range		Point
8	4.4569171972980934e+244	1.726065848004059e+248	5.611707517943382e+244
5	-4.2167264587421995e+92	-1.0885082802572525e+92	-3.1853581668252757e+92

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample454.0ms

Algorithm

intervals

Results

244.0ms

8442×

body

valid