Details

sample69.0ms

Algorithm

intervals

Results

54.0ms	142×	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: 1.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite13.0ms

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:

4.0ms	(+ (exp a) (exp b))
8.0ms	(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify85.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

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

prune103.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
3.6b	(log (+ (exp a) (exp b)))

rewrite25.0ms

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:

4.0ms	(+ (exp a) (exp b))
10.0ms	(exp (- a (log (+ (exp a) (exp b)))))
6.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (exp a) (exp b))
46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
30.0ms	(- a (log (+ (exp a) (exp b))))
31.0ms	(log (+ (exp a) (exp b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (77.0ms)

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

prune177.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(sqrt (exp a))
0.7b	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
1.0b	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
52×	`times-frac`
42×	`add-cube-cbrt`
41×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-l` `associate-/l*` `unswap-sqr`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `flip3-+` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 136

Calls

4 calls:

1.0ms	(sqrt (exp a))
1.0ms	(sqrt (exp a))
31.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
9.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp a))
11.0ms	(sqrt (exp a))
33.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
47.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

simplify60.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	316	1296
1	1379	1168
2	5002	1127

prune294.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (exp a))
0.0b	(/ 1 (+ (exp b) (exp a)))
0.0b	(log (pow (exp (exp a)) (/ 1 (+ (exp b) (exp a)))))
0.5b	(pow (exp (exp a)) (/ 1 (+ (exp b) (exp a))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
18×	`pow-unpow`
9×	`add-exp-log`
7×	`log-prod` `distribute-lft-out`
6×	`pow1` `unpow-prod-down` `exp-prod` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow-pow` `associate-/r*` `associate-/r/`
3×	`rem-log-exp` `associate-/l*`
2×	`pow-to-exp` `flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `log-pow` `rem-exp-log` `inv-pow`

Counts

4 → 101

Calls

4 calls:

1.0ms	(exp (exp a))
8.0ms	(/ 1 (+ (exp b) (exp a)))
4.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp b) (exp a)))))
7.0ms	(pow (exp (exp a)) (/ 1 (+ (exp b) (exp a))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(exp (exp a))
23.0ms	(/ 1 (+ (exp b) (exp a)))
68.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp b) (exp a)))))
64.0ms	(pow (exp (exp a)) (/ 1 (+ (exp b) (exp a))))

simplify39.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	334	864
1	1261	767
2	5001	718

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes85.0ms

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	13	8
1	13	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s	3557×	body	10240	exit
174.0ms	8000×	body	80	valid