Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	330×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune8.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

9.0ms

(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4963	267
1	4963	267

prune40.0ms

Filtered

17 candidates to 28 candidates (-64.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ d3 (+ 5.0 32.0)))
0.0b	(+ (* d1 d2) (* d1 (+ d3 (+ 5.0 32.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

7.0ms	(* d1 (+ d3 (+ 5.0 32.0)))
4.0ms	(+ (* d1 d2) (* d1 (+ d3 (+ 5.0 32.0))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* d1 (+ d3 (+ 5.0 32.0)))
7.0ms	(+ (* d1 d2) (* d1 (+ d3 (+ 5.0 32.0))))

simplify16.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	5013	408

prune51.0ms

Filtered

31 candidates to 44 candidates (-41.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d1 d2) (/ (* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3))) (+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0))))))
0.2b	(+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0))))
2.6b	(* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3)))
16.4b	(/ (* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3))) (+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
13×	`associate-r` `distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-+r+` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`associate-+r-` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

12.0ms	(+ (* d1 d2) (/ (* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3))) (+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0))))))
8.0ms	(+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0))))
15.0ms	(* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3)))
24.0ms	(/ (* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3))) (+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0)))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* d1 d2) (/ (* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3))) (+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0))))))
3.0ms	(+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0))))
15.0ms	(* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3)))
27.0ms	(/ (* d1 (+ (pow d3 3) (pow (+ 5.0 32.0) 3))) (+ (* d3 d3) (- (* (+ 5.0 32.0) (+ 5.0 32.0)) (* d3 (+ 5.0 32.0)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5109	1832

prune178.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))
3.0b	(- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))
7.8b	(* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))))
15.5b	(/ (* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))) (- d2 (+ d3 (+ 5.0 32.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
30×	`distribute-lft-out`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r`
8×	`associate-l`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `flip3--` `distribute-lft-in` `flip--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

11.0ms	(* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))
3.0ms	(- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))
6.0ms	(* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))))
12.0ms	(/ (* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))) (- d2 (+ d3 (+ 5.0 32.0))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))
7.0ms	(- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))
22.0ms	(* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))))
26.0ms	(/ (* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))) (- d2 (+ d3 (+ 5.0 32.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5016	1772

prune148.0ms

Filtered

82 candidates to 132 candidates (-61.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	11
1	15	11

end0.0ms

sample673.0ms

Algorithm

intervals

Results

344.0ms	10110×	body	80	valid
3.0ms	23×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	14×	body	320	valid
1.0ms	8×	body	160	valid

Details

sample25.0ms

simplify4.0ms

prune8.0ms

localize10.0ms

rewrite9.0ms

series7.0ms

simplify35.0ms

prune40.0ms

localize7.0ms

rewrite11.0ms

series12.0ms

simplify16.0ms

prune51.0ms

localize17.0ms

rewrite62.0ms

series91.0ms

simplify44.0ms

prune178.0ms

localize11.0ms

rewrite35.0ms

series57.0ms

simplify50.0ms

prune148.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample673.0ms

Profiling