Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	5

prune4.0ms

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: 4.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.4b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
26.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
9.0ms	(- (/ y z) (/ t (- 1.0 z)))
16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	387	632
1	1452	595
2	5002	593

prune151.0ms

Filtered

98 candidates to 71 candidates (27.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	10	99

Merged error: 1.2b

Counts

99 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
4.4b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 125

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 z))
6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
13.0ms	(* t (/ 1 (- 1.0 z)))
8.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- 1.0 z))
9.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms	(* t (/ 1 (- 1.0 z)))
16.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	495	825
1	2159	729
2	5003	687

prune160.0ms

Filtered

137 candidates to 82 candidates (40.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	138	9	147

Merged error: 0.0b

Counts

147 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (- (/ y z) (/ t (- 1.0 z))))
9.6b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
9.6b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
9.6b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
22.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
58.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
59.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	321	744
1	1175	683
2	5001	648

prune203.0ms

Filtered

80 candidates to 65 candidates (18.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	79	10	89

Merged error: 0.0b

Counts

89 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (- (/ y z) (/ t (- 1.0 z))))
9.6b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
9.6b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
9.6b	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
21.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
25.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
58.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
60.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	363	814
1	1302	743
2	5002	708

prune170.0ms

Filtered

80 candidates to 65 candidates (18.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

regimes672.0ms

Accuracy

96.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	52
1	48	52

end0.0ms

sample816.0ms

Algorithm

intervals

Results

356.0ms

10056×

body

valid

Details

sample30.0ms

simplify15.0ms

prune4.0ms

localize8.0ms

rewrite53.0ms

series30.0ms

simplify49.0ms

prune151.0ms

localize10.0ms

rewrite37.0ms

series32.0ms

simplify65.0ms

prune160.0ms

localize13.0ms

rewrite85.0ms

series191.0ms

simplify46.0ms

prune203.0ms

localize19.0ms

rewrite90.0ms

series191.0ms

simplify46.0ms

prune170.0ms

regimes672.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample816.0ms

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