Details

sample55.0ms

Algorithm

intervals

Results

39.0ms	113×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

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))
8.0ms	(/ (exp a) (+ (exp a) (exp b)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
38.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify97.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (35.0ms)

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

prune134.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

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))
0.2b	(- a (log (+ (exp a) (exp b))))
3.9b	(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)))))
5.0ms	(+ (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:

49.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
39.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (74.0ms)

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

prune245.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/4 (- a b) 1/2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/4 (- a b) 1/2)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma 1/4 (- a b) 1/2)

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	50
1	68	39
2	278	39
3	1609	39
4	5001	39

prune27.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma 1/4 (- a b) 1/2))
0.4b	(cbrt (fma 1/4 (- a b) 1/2))
0.4b	(cbrt (fma 1/4 (- a b) 1/2))
0.7b	(* (cbrt (fma 1/4 (- a b) 1/2)) (cbrt (fma 1/4 (- a b) 1/2)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (fma 1/4 (- a b) 1/2))
1.0ms	(cbrt (fma 1/4 (- a b) 1/2))
1.0ms	(cbrt (fma 1/4 (- a b) 1/2))
6.0ms	(* (cbrt (fma 1/4 (- a b) 1/2)) (cbrt (fma 1/4 (- a b) 1/2)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (fma 1/4 (- a b) 1/2))
134.0ms	(cbrt (fma 1/4 (- a b) 1/2))
128.0ms	(cbrt (fma 1/4 (- a b) 1/2))
145.0ms	(* (cbrt (fma 1/4 (- a b) 1/2)) (cbrt (fma 1/4 (- a b) 1/2)))

simplify120.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	265	815
1	878	758
2	4167	663
3	5001	633

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3444×	body	10240	exit
197.0ms	8000×	body	80	valid