Details

Time bar (total: 19.1s)

sample70.0ms

Algorithm
intervals
Results
23.0ms48×body1280valid
13.0ms40×body640valid
9.0ms133×body80valid
5.0ms22×body320valid
2.0ms13×body160valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11510
22210
33110
45510
512010
627810
781910
8301910
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize16.0ms

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)))
3.3b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite246.0ms

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:
30.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
19.0ms
(+ 1.0 (exp (* -2.0 x)))
182.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series209.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms
(+ 1.0 (exp (* -2.0 x)))
126.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.9s

Counts
150 → 150
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01803092
14002501
28582219
324111982
done50011796

prune381.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
29.4b
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
42×times-frac
37×add-sqr-sqrt add-cube-cbrt
32×sqrt-prod
14×associate-/r*
10×add-exp-log
9×distribute-lft-out
8×add-cbrt-cube
6×pow1 associate-/l* add-log-exp
4×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u
3×pow-flip fma-def flip3-+ div-exp flip-+
2×cbrt-undiv frac-2neg clear-num div-inv
1×+-commutative rec-exp sqrt-pow1 pow1/2 1-exp sum-log fma-udef inv-pow
Counts
4 → 127
Calls
4 calls:
12.0ms
(+ 1.0 (exp (* -2.0 x)))
16.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
26.0ms
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
1.0ms
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

series514.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ 1.0 (exp (* -2.0 x)))
108.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
58.0ms
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
327.0ms
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

simplify1.6s

Counts
139 → 139
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01952140
13791906
28361665
321671663
done50001654

prune484.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
0.1b
(* 0.33333333333333337 (pow x 3))
8.4b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite29.0ms

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 add-log-exp
4×unpow-prod-down cube-prod unswap-sqr
3×pow1 expm1-log1p-u associate-*l* prod-diff prod-exp log1p-expm1-u
2×fma-udef sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- fma-neg diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod associate--r+
Counts
3 → 62
Calls
3 calls:
9.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
13.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
69.0ms
(* 0.33333333333333337 (pow x 3))
140.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify3.8s

Counts
71 → 71
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01121058
1246875
2755818
33941781
done5000780

prune247.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
1.0b
(log (exp (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
8.4b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×add-exp-log
5×add-cbrt-cube
4×pow1 unpow-prod-down log-prod cube-prod log-pow unswap-sqr
3×expm1-log1p-u exp-prod associate-*l* prod-exp log1p-expm1-u add-log-exp
2×fma-udef sqr-pow
1×cube-mult pow-to-exp unpow3 rem-log-exp exp-sum pow-exp *-commutative cbrt-unprod
Counts
3 → 61
Calls
3 calls:
15.0ms
(* 0.33333333333333337 (pow x 3))
3.0ms
(log (exp (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series319.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* 0.33333333333333337 (pow x 3))
130.0ms
(log (exp (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
130.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify1.7s

Counts
70 → 70
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
096780
1172702
2435631
31978631
done5000631

prune259.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes277.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 30.2b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02968
13848
done3848

end0.0ms

sample2.1s

Algorithm
intervals
Results
727.0ms1700×body1280valid
707.0ms1280×body640valid
182.0ms4031×body80valid
98.0ms643×body320valid
38.0ms346×body160valid