Details

Time bar (total: 19.1s)

sample46.0ms

Algorithm
intervals
Results
13.0ms48×body1280valid
8.0ms40×body640valid
6.0ms133×body80valid
3.0ms22×body320valid
1.0ms13×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

localize17.0ms

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)

rewrite207.0ms

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:
34.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
145.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series214.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms
(+ 1.0 (exp (* -2.0 x)))
113.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.7s

Counts
150 → 150
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01803092
14002501
28582219
324111982
done50011796

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite56.0ms

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:
7.0ms
(+ 1.0 (exp (* -2.0 x)))
23.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
21.0ms
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.0ms
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

series527.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ 1.0 (exp (* -2.0 x)))
115.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
84.0ms
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
311.0ms
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

simplify2.1s

Counts
139 → 139
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01952140
13791906
28361665
321671663
done50001654

prune494.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite28.0ms

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:
13.0ms
(- (* 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)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
39.0ms
(* 0.33333333333333337 (pow x 3))
147.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify3.6s

Counts
71 → 71
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01121058
1246875
2755818
33941781
done5000780

prune230.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
1.0b
(log (exp (* 0.33333333333333337 (pow x 3))))
11.8b
(fma 5.551115123125783e-17 (pow x 4) (log (exp (* 0.33333333333333337 (pow x 3)))))

rewrite31.0ms

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:
22.0ms
(* 0.33333333333333337 (pow x 3))
7.0ms
(log (exp (* 0.33333333333333337 (pow x 3))))
1.0ms
(fma 5.551115123125783e-17 (pow x 4) (log (exp (* 0.33333333333333337 (pow x 3)))))

series269.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* 0.33333333333333337 (pow x 3))
60.0ms
(log (exp (* 0.33333333333333337 (pow x 3))))
138.0ms
(fma 5.551115123125783e-17 (pow x 4) (log (exp (* 0.33333333333333337 (pow x 3)))))

simplify2.2s

Counts
68 → 68
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
089642
1159545
2409493
31883493
done5001493

prune333.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

99.1% (0.3b remaining)

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

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02968
13848
done3848

end0.0ms

sample1.8s

Algorithm
intervals
Results
629.0ms1700×body1280valid
319.0ms1280×body640valid
281.0ms4031×body80valid
202.0ms643×body320valid
70.0ms346×body160valid