Details

Time bar (total: 2.4s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample30.0ms (1.3%)

Algorithm
intervals
Results
15.0ms93×body1024valid
4.0ms38×body512valid
3.0ms95×body128valid
2.0msbody2048valid
1.0ms21×body256valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify15.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
01669
11669

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.4b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0b
(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
21×times-frac_binary64
15×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/l*_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 cancel-sign-sub-inv_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 64
Calls

2 calls:

8.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms
(-.f64 (exp.f64 x) 1)

series72.0ms (3%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
18.0ms
(-.f64 (exp.f64 x) 1)

simplify88.0ms (3.7%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
048741016
148741016

prune114.0ms (4.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh000
Picked101
Done000
Total69271

Merged error: 0b

Counts
71 → 2
Compiler

Compiled 1572 to 1015 computations (35.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.3b
(*.f64 x 1/6)

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
flip3-+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64
Counts
2 → 40
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
4.0ms
(*.f64 x 1/6)

series114.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

93.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
21.0ms
(*.f64 x 1/6)

simplify84.0ms (3.5%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04795440
14795440

prune36.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh011
Picked011
Done000
Total46248

Merged error: 0b

Counts
48 → 2
Compiler

Compiled 626 to 489 computations (21.9% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
0.0b
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.0b
(pow.f64 (exp.f64 x) 3)
3.9b
(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite53.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt_binary64
64×*-un-lft-identity_binary64
48×times-frac_binary64
40×difference-of-squares_binary64
32×add-cube-cbrt_binary64
20×difference-of-sqr-1_binary64
18×unpow-prod-down_binary64 cube-prod_binary64
16×sqr-pow_binary64 associate-/l*_binary64
add-cbrt-cube_binary64
pow1_binary64 add-exp-log_binary64
add-log-exp_binary64
distribute-lft-out--_binary64
associate-*r*_binary64 pow-pow_binary64
pow-unpow_binary64 associate-/r*_binary64 associate-*l*_binary64 cancel-sign-sub-inv_binary64 exp-prod_binary64
flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 associate-*r/_binary64 associate-/r/_binary64 flip--_binary64 flip-+_binary64
pow-to-exp_binary64 pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 rem-cube-cbrt_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 pow-exp_binary64 unpow3_binary64 *-commutative_binary64 cube-mult_binary64
Counts
4 → 160
Calls

4 calls:

14.0ms
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
9.0ms
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
9.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms
(pow.f64 (exp.f64 x) 3)

series311.0ms (13.1%)

Counts
4 → 12
Calls

4 calls:

188.0ms
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
49.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) 1)
44.0ms
(pow.f64 (exp.f64 x) 3)
30.0ms
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))

simplify124.0ms (5.2%)

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049464624
149464624

prune243.0ms (10.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh000
Picked011
Done011
Total1722174

Merged error: 0b

Counts
174 → 2
Compiler

Compiled 4706 to 3029 computations (35.6% saved)

regimes13.0ms (0.5%)

Compiler

Compiled 29 to 23 computations (20.7% saved)

bsearch18.0ms (0.8%)

Steps
ItersRangePoint
9
-5.424452297100857
-2.614286845550947e-08
-0.0001638550454587521
Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03947
13947

end0.0ms (0%)

sample1.0s (42.1%)

Algorithm
intervals
Results
454.0ms2666×body1024valid
130.0ms1318×body512valid
83.0ms3048×body128valid
60.0ms291×body2048valid
42.0ms677×body256valid
Compiler

Compiled 87 to 66 computations (24.1% saved)

Profiling

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