Details

sample52.0ms

Algorithm

intervals

Results

36.0ms	108×	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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

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))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify93.0ms

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

prune122.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

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))
1.1b	(- a (log (+ (exp a) (exp b))))
4.3b	(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:

9.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
6.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
36.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (83.0ms)

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

prune199.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (- a (log (+ (exp a) (exp b)))) 3)
1.1b	(- a (log (+ (exp a) (exp b))))
4.3b	(log (+ (exp a) (exp b)))
14.5b	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
11×	`pow1`
10×	`distribute-lft-out--`
8×	`log-prod`
6×	`add-exp-log` `log-pow`
5×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
4×	`cube-div` `log-div` `associate--r+`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `associate--r-` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

5.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
6.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))
6.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

series176.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
32.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))
42.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	337	944
1	1164	892
2	5002	867

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.7b	(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 90

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
8.0ms	(/ 1 (+ (exp a) (exp b)))
23.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

series75.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (exp a) (exp b))
23.0ms	(/ 1 (+ (exp a) (exp b)))
35.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	279	673
1	1159	593
2	3644	553
3	5001	552

prune179.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes94.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3570×	body	10240	exit
194.0ms	8000×	body	80	valid