Details

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 54.919434%

Guaranteed chance to sample good point: 23.483618%

Results

35.0ms	514×	body	80	nan
20.0ms	231×	body	80	invalid
20.0ms	256×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8

prune16.0ms

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: 0.3b

Counts

2 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
12.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
8.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series128.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
69.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
43.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify61.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	569	965
1	2353	793
2	5001	726

prune160.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 z)) y)
0.7b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
72×	`add-sqr-sqrt`
68×	`add-cube-cbrt` `*-un-lft-identity`
65×	`unpow-prod-down`
37×	`add-exp-log`
24×	`div-exp`
19×	`add-cbrt-cube`
18×	`exp-sum` `associate-/l*`
12×	`pow1` `associate-l`
9×	`prod-exp`
8×	`distribute-lft-neg-out` `log-rec` `pow-exp`
7×	`associate-/r*` `div-inv`
6×	`associate-r` `log-pow`
5×	`cbrt-undiv` `sqr-pow`
4×	`exp-diff` `associate-/r/` `cbrt-unprod` `add-log-exp`
2×	`pow-to-exp` `associate-+r-` `rec-exp` `distribute-neg-out` `pow-flip` `frac-2neg` `1-exp` `unsub-neg` `pow-prod-down` `clear-num` `*-commutative` `inv-pow` `unswap-sqr`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 183

Calls

4 calls:

14.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))
4.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 z)) y)
18.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series264.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))
10.0ms	(* (log (/ 1 a)) t)
10.0ms	(* (log (/ 1 z)) y)
139.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify100.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	873	3226
1	3742	2814
2	5002	2793

prune461.0ms

Filtered

132 candidates to 195 candidates (-47.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	193	6	199

Merged error: 0b

Counts

199 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 z)) y)
0.3b	(* (log (/ 1 z)) y)
0.3b	(* (log (/ 1 z)) y)
0.7b	(/ (* x (* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))))) y)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `associate-l`
16×	`pow1`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
10×	`associate-*r/`
9×	`associate-r` `prod-exp` `log-pow` `cbrt-unprod`
7×	`associate-/l/`
5×	`frac-times` `associate-*l/`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-neg-out` `pow-flip` `times-frac` `log-rec` `pow-prod-down` `associate-/r` `-commutative` `inv-pow` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

4.0ms	(* (log (/ 1 z)) y)
4.0ms	(* (log (/ 1 z)) y)
4.0ms	(* (log (/ 1 z)) y)
61.0ms	(/ (* x (* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))))) y)

series166.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (log (/ 1 z)) y)
10.0ms	(* (log (/ 1 z)) y)
10.0ms	(* (log (/ 1 z)) y)
135.0ms	(/ (* x (* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))))) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	1910
1	2026	1223
2	5001	1062

prune520.0ms

Filtered

77 candidates to 110 candidates (-42.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Merged error: 0b

Counts

116 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity`
9×	`add-cube-cbrt` `exp-sum` `add-cbrt-cube` `rem-exp-log`
8×	`add-exp-log`
6×	`diff-log`
4×	`pow1` `exp-diff`
3×	`sub-neg` `times-frac` `associate--l+` `associate-/r*` `sum-log` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 79

Calls

4 calls:

11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
9.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series205.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
43.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
48.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
44.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify42.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	364	1159
1	1356	937
2	5001	789

prune264.0ms

Filtered

75 candidates to 91 candidates (-21.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0b

Counts

97 → 6

regimes1.1s

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample6.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 54.919434%

Guaranteed chance to sample good point: 23.483618%

Results

1.0s	14514×	body	80	nan
640.0ms	8000×	body	80	valid
560.0ms	7122×	body	80	invalid

Details

sample2.9s

simplify51.0ms

prune16.0ms

localize27.0ms

rewrite34.0ms

series128.0ms

simplify61.0ms

prune160.0ms

localize23.0ms

rewrite48.0ms

series264.0ms

simplify100.0ms

prune461.0ms

localize28.0ms

rewrite77.0ms

series166.0ms

simplify59.0ms

prune520.0ms

localize23.0ms

rewrite35.0ms

series205.0ms

simplify42.0ms

prune264.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.4s

Profiling