Details

Time bar (total: 3.6s)

sample56.0ms

Algorithm
intervals
Results
40.0ms108×body10240exit
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

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)))

rewrite33.0ms

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:
13.0ms
(+ (exp a) (exp b))
19.0ms
(/ (exp a) (+ (exp a) (exp b)))

series47.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (exp a) (exp b))
30.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify93.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0171405
1513376
21324374
34489373
45001373

prune123.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

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))))
3.8b
(log (+ (exp a) (exp b)))

rewrite57.0ms

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:
19.0ms
(exp (- a (log (+ (exp a) (exp b)))))
12.0ms
(+ (exp a) (exp b))
14.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(exp (- a (log (+ (exp a) (exp b)))))
17.0ms
(+ (exp a) (exp b))
33.0ms
(- a (log (+ (exp a) (exp b))))
31.0ms
(log (+ (exp a) (exp b)))

simplify80.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
03081330
1791946
22960789
35001691

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
4.5b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
4.7b
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
8.7b
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
41×prod-diff
35×add-sqr-sqrt
30×pow1
29×associate--r+
27×add-cube-cbrt
26×log-pow
21×log-prod distribute-lft-out--
10×distribute-lft-out
9×associate--l+ add-log-exp
8×unpow-prod-down cube-prod
6×add-exp-log log-div
4×expm1-log1p-u fma-neg diff-log add-cbrt-cube log1p-expm1-u difference-of-squares
3×sub-neg flip3-+ flip-+ associate--r-
2×flip3-- rem-log-exp sum-cubes flip--
1×distribute-rgt-out--
Counts
4 → 133
Calls
4 calls:
50.0ms
(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
16.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
23.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
46.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
41.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
53.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
90.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05664273
119982985
250022744

prune454.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes52.0ms

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)

IterNodesCost
096
196

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s3398×body10240exit
180.0ms8000×body80valid