Details

Time bar (total: 3.5s)

sample29.0ms

Algorithm
intervals
Results
9.0ms45×body1280valid
6.0ms41×body640valid
4.0ms144×body80valid
2.0ms19×body320valid
0.0ms7×body160valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2315
3545
41195
53335
616465
750015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
3.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
7×add-log-exp
6×flip3-+ flip-+
5×add-exp-log add-cbrt-cube div-inv
4×associate-/r*
3×pow1 expm1-log1p-u fma-def log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- distribute-lft-out--
Counts
3 → 141
Calls
3 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms
(+ 1.0 (exp (* -2.0 x)))
44.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series129.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
79.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03981645
112871235
250011212

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3)
0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
3.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
86×add-sqr-sqrt
61×add-cube-cbrt
54×prod-diff
53×times-frac
18×cbrt-prod fma-neg
13×distribute-lft-out
12×unpow-prod-down cube-prod
10×difference-of-squares
8×associate-/r/ add-log-exp
5×pow1 add-exp-log flip3-+ add-cbrt-cube flip-+ distribute-lft-out--
4×cube-div expm1-log1p-u log1p-expm1-u div-inv
3×pow-unpow flip3-- fma-def flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
40.0ms
(pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3)
3.0ms
(+ 1.0 (exp (* -2.0 x)))
37.0ms
(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
44.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series289.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3)
15.0ms
(+ 1.0 (exp (* -2.0 x)))
76.0ms
(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
77.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05302073
119721646
250021622

prune321.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
9.2b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
7.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* 0.33333333333333337 (pow x 3))
96.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify183.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0142195
1582172
23698172
35002172

prune121.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.5b
(log (exp (* 0.33333333333333337 (pow x 3))))
12.0b
(fma 5.551115123125783e-17 (pow x 4) (log (exp (* 0.33333333333333337 (pow x 3)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r*
8×add-exp-log add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×pow1 unpow-prod-down cube-prod add-log-exp unswap-sqr
3×expm1-log1p-u log-prod associate-*l* prod-exp log-pow log1p-expm1-u
2×sqr-pow
1×cube-mult pow-to-exp exp-prod exp-to-pow unpow3 rem-log-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
3 → 59
Calls
3 calls:
7.0ms
(* 0.33333333333333337 (pow x 3))
1.0ms
(log (exp (* 0.33333333333333337 (pow x 3))))
2.0ms
(fma 5.551115123125783e-17 (pow x 4) (log (exp (* 0.33333333333333337 (pow x 3)))))

series165.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 0.33333333333333337 (pow x 3))
35.0ms
(log (exp (* 0.33333333333333337 (pow x 3))))
93.0ms
(fma 5.551115123125783e-17 (pow x 4) (log (exp (* 0.33333333333333337 (pow x 3)))))

simplify187.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0163291
1609252
23742250
35001250

prune183.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 28.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03315
13315

end0.0ms

sample848.0ms

Algorithm
intervals
Results
331.0ms1600×body1280valid
184.0ms1259×body640valid
111.0ms4210×body80valid
56.0ms620×body320valid
19.0ms311×body160valid