Details

sample69.0ms

Algorithm

intervals

Results

53.0ms	132×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Filtered

1 candidates to 0 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: 1.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	171	405
1	513	376
2	1324	374
3	4489	373
4	5001	373

prune136.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.9b

Counts

59 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.5b	(- a (log (+ (exp a) (exp b))))
3.8b	(log (+ (exp a) (exp b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 106

Calls

4 calls:

6.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
5.0ms	(log (+ (exp a) (exp b)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp (- a (log (+ (exp a) (exp b)))))
19.0ms	(+ (exp a) (exp b))
34.0ms	(- a (log (+ (exp a) (exp b))))
38.0ms	(log (+ (exp a) (exp b)))

simplify79.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	308	1330
1	791	946
2	2960	789
3	5001	691

prune248.0ms

Filtered

118 candidates to 71 candidates (60.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	119	4	123

Merged error: 0.9b

Counts

123 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.2b	(log (exp (exp (- a (log (+ (exp a) (exp b)))))))
1.5b	(- a (log (+ (exp a) (exp b))))
3.8b	(log (+ (exp a) (exp b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`log-pow`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `prod-diff`
19×	`exp-prod`
16×	`exp-sum`
13×	`pow1`
11×	`log-prod`
7×	`add-log-exp`
6×	`log-div`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `rem-log-exp` `distribute-lft-out--`
1×	`+-commutative` `flip3--` `diff-log` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
8.0ms	(log (exp (exp (- a (log (+ (exp a) (exp b)))))))
8.0ms	(- a (log (+ (exp a) (exp b))))
5.0ms	(log (+ (exp a) (exp b)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
52.0ms	(log (exp (exp (- a (log (+ (exp a) (exp b)))))))
32.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))

simplify75.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	333	1149
1	835	834
2	2786	809
3	5001	679

prune304.0ms

Filtered

117 candidates to 73 candidates (62.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	117	4	121

Merged error: 0.9b

Counts

121 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
1.2b	(/ (exp a) (+ (exp a) (exp b)))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
98×	`sqrt-prod`
91×	`add-sqr-sqrt`
90×	`times-frac`
63×	`add-cube-cbrt`
29×	`swap-sqr`
27×	`distribute-lft-out`
21×	`associate-r` `associate-l`
19×	`pow1`
12×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 197

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
25.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp a) (exp b))
32.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify60.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	336	1987
1	1553	1847
2	5001	1820

prune465.0ms

Filtered

209 candidates to 130 candidates (62.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	209	4	213

Merged error: 0.9b

Counts

213 → 4

regimes97.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3359×	body	10240	exit
194.0ms	8000×	body	80	valid