Details

Time bar (total: 1.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms128×body80overflowed

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
075
175

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

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

series55.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
36.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify101.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0171405
1513376
21324374
34489373
45001373

prune108.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55358
Fresh000
Picked101
Done000
Total56359

Merged error: 0.5b

Counts
59 → 3

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))
1.5b
(- a (log (+ (exp a) (exp b))))
2.2b
(log (+ (exp a) (exp b)))

rewrite26.0ms

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)))))
4.0ms
(+ (exp a) (exp b))
8.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(exp (- a (log (+ (exp a) (exp b)))))
18.0ms
(+ (exp a) (exp b))
33.0ms
(- a (log (+ (exp a) (exp b))))
37.0ms
(log (+ (exp a) (exp b)))

simplify85.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
03081330
1791946
22960789
35001691

prune193.0ms

Filtered
118 candidates to 71 candidates (60.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done000
Total1183121

Merged error: 0.5b

Counts
121 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (+ (exp a) (exp b)))
0.5b
(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×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×expm1-log1p-u fma-def flip3-+ associate-*l* flip-+ log1p-expm1-u 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 → 99
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
6.0ms
(/ 1 (+ (exp a) (exp b)))
12.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

series78.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (exp a) (exp b))
27.0ms
(/ 1 (+ (exp a) (exp b)))
32.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0290706
11196624
23810583
35002581

prune145.0ms

Filtered
108 candidates to 65 candidates (60.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done011
Total1083111

Merged error: 0.5b

Counts
111 → 3

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.5b

Counts
3 → 3

regimes62.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample510.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid
95.0ms3489×body80overflowed