Details

sample35.0ms

Algorithm

intervals

Results

10.0ms

284×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune5.0ms

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: 1.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune551.0ms

Filtered

122 candidates to 83 candidates (32.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(* (cbrt (- z t)) (cbrt (- z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
24.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
31.0ms	(* (cbrt (- z t)) (cbrt (- z t)))

simplify118.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	288	793
1	880	756
2	4004	674
3	5001	652

prune919.0ms

Filtered

113 candidates to 78 candidates (31.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.4b	(* y (* (- z t) (/ 1 (- z a))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
5.0ms	(/ 1 (- z a))
13.0ms	(* (- z t) (/ 1 (- z a)))
12.0ms	(* y (* (- z t) (/ 1 (- z a))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
4.0ms	(/ 1 (- z a))
8.0ms	(* (- z t) (/ 1 (- z a)))
15.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify53.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	457	786
1	2015	677
2	5001	632

prune617.0ms

Filtered

142 candidates to 85 candidates (40.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	142	8	150

Merged error: 0b

Counts

150 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (cbrt y) (/ (- z t) (- z a)))
0.9b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (cbrt y) (/ (- z t) (- z a)))
17.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
53.0ms	(* (cbrt y) (/ (- z t) (- z a)))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	403	829
1	1711	675
2	5001	627

prune477.0ms

Filtered

116 candidates to 72 candidates (37.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	116	8	124

Merged error: 0b

Counts

124 → 8

regimes853.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample778.0ms

Algorithm

intervals

Results

302.0ms	8717×	body	80	valid
0.0ms	1×	body	640	valid

Details

sample35.0ms

simplify54.0ms

prune5.0ms

localize8.0ms

rewrite28.0ms

series51.0ms

simplify49.0ms

prune551.0ms

localize16.0ms

rewrite22.0ms

series107.0ms

simplify118.0ms

prune919.0ms

localize9.0ms

rewrite40.0ms

series51.0ms

simplify53.0ms

prune617.0ms

localize12.0ms

rewrite37.0ms

series114.0ms

simplify49.0ms

prune477.0ms

regimes853.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample778.0ms

Profiling