Details

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.346191%

Guaranteed chance to sample good point: 85.578201%

Results

10.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify227.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3375	4
11	3762	4
12	4376	4
13	5002	4

prune3.0ms

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: 3.8b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.0b	(- 1.0 (* (- 1.0 y) z))
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
5×	`add-log-exp`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 58

Calls

3 calls:

6.0ms	(* (- 1.0 y) z)
3.0ms	(- 1.0 (* (- 1.0 y) z))
5.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 y) z)
5.0ms	(- 1.0 (* (- 1.0 y) z))
11.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	233	336
1	920	299
2	4132	288
3	5001	288

prune91.0ms

Filtered

43 candidates to 67 candidates (-55.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.7b	(* (* x z) (- y 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms	(* (* x z) (- y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune62.0ms

Filtered

30 candidates to 47 candidates (-56.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.6b	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
34×	`*-un-lft-identity`
16×	`add-cube-cbrt` `cbrt-div`
13×	`pow1`
11×	`associate-r` `associate-l`
10×	`swap-sqr`
9×	`flip3--` `flip--`
8×	`add-exp-log` `pow1/3` `distribute-lft-out--`
6×	`add-cbrt-cube` `difference-of-squares`
5×	`unswap-sqr`
4×	`frac-times` `associate-*r/` `add-log-exp`
3×	`pow-prod-down`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus`

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
5.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 y))
6.0ms	(cbrt (- 1.0 y))
7.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
11.0ms	(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	456	1153
1	1707	1036
2	5002	954

prune253.0ms

Filtered

85 candidates to 122 candidates (-43.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.1b	(* (* (- 1.0 y) z) (* (- 1.0 y) z))
3.1b	(* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z))))
12.1b	(/ (* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z)))) (+ 1.0 (* (- 1.0 y) z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

6.0ms	(* (- 1.0 y) z)
12.0ms	(* (* (- 1.0 y) z) (* (- 1.0 y) z))
6.0ms	(* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z))))
8.0ms	(/ (* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z)))) (+ 1.0 (* (- 1.0 y) z)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 y) z)
7.0ms	(* (* (- 1.0 y) z) (* (- 1.0 y) z))
35.0ms	(* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z))))
54.0ms	(/ (* x (- (* 1.0 1.0) (* (* (- 1.0 y) z) (* (- 1.0 y) z)))) (+ 1.0 (* (- 1.0 y) z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	566	1081
1	2863	901
2	5001	901

prune136.0ms

Filtered

73 candidates to 126 candidates (-72.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	126	8	134

Merged error: 0.0b

Counts

134 → 8

regimes648.0ms

Accuracy

92.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch76.0ms

Steps

Iters	Range		Point
10	4.9952737185713675e-92	3.66971018838894e-77	1.8527321093854087e-77
8	-1.6933548724389196e+50	-7.444364575256401e+46	-3.0379372377576735e+49

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample3.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.346191%

Guaranteed chance to sample good point: 85.578201%

Results

240.0ms	8000×	body	80	valid
10.0ms	355×	body	80	invalid

Details

sample2.9s

simplify227.0ms

prune3.0ms

localize6.0ms

rewrite16.0ms

series20.0ms

simplify102.0ms

prune91.0ms

localize8.0ms

rewrite13.0ms

series20.0ms

simplify44.0ms

prune62.0ms

localize10.0ms

rewrite25.0ms

series30.0ms

simplify61.0ms

prune253.0ms

localize10.0ms

rewrite38.0ms

series100.0ms

simplify87.0ms

prune136.0ms

regimes648.0ms

bsearch76.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling