Details

sample54.0ms

Algorithm

intervals

Results

38.0ms	113×	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

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)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

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

series51.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
33.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1239	355
3	4158	355
4	5001	355

prune109.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

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)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 68

Calls

4 calls:

5.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
23.0ms	(+ (exp a) (exp b))
32.0ms	(- a (log (+ (exp a) (exp b))))
33.0ms	(log (+ (exp a) (exp b)))

simplify88.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	233	551
1	543	509
2	1225	495
3	4110	491
4	5001	489

prune187.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`diff-log`
2×	`sub-neg` `associate--r+`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `add-cbrt-cube` `flip--` `associate--r-`

Counts

1 → 16

Calls

1 calls:

8.0ms

(- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	101	152
1	297	133
2	1183	133
3	5002	130

prune41.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
0.4b	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
0.4b	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
0.7b	(* (cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))) (cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

7.0ms	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
7.0ms	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
7.0ms	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
24.0ms	(* (cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))) (cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
122.0ms	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
126.0ms	(cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2))))
133.0ms	(* (cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))) (cbrt (- (* a 1/4) (- (* b 1/4) (/ (exp 0) 2)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	325	1746
1	1096	1639
2	5001	1481

prune299.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

regimes78.0ms

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
189.0ms	8000×	body	80	valid