Details

Time bar (total: 2.3s)

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
2.0ms95×body128valid
2.0msbody2048valid
1.0ms21×body256valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify15.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

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)

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
29×*-un-lft-identity_binary64
21×times-frac_binary64
14×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
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 → 61
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms
(-.f64 (exp.f64 x) 1)

series75.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
17.0ms
(-.f64 (exp.f64 x) 1)

simplify99.0ms (4.2%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
048831013
148831013

prune59.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New65267
Fresh000
Picked101
Done000
Total66268

Merged error: 0b

Counts
68 → 2
Compiler

Compiled 856 to 467 computations (45.4% saved)

localize6.0ms (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)

series122.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

96.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
26.0ms
(*.f64 x 1/6)

simplify81.0ms (3.5%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04840440
14840440

prune35.0ms (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)

rewrite50.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt_binary64
63×*-un-lft-identity_binary64
48×times-frac_binary64
40×difference-of-squares_binary64
31×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 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 → 157
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
8.0ms
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
8.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms
(pow.f64 (exp.f64 x) 3)

series327.0ms (14.1%)

Counts
4 → 12
Calls

4 calls:

194.0ms
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
59.0ms
(-.f64 (pow.f64 (exp.f64 x) 3) 1)
41.0ms
(pow.f64 (exp.f64 x) 3)
33.0ms
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))

simplify105.0ms (4.5%)

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050254621

prune235.0ms (10.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh000
Picked011
Done011
Total1692171

Merged error: 0b

Counts
171 → 2
Compiler

Compiled 4652 to 2996 computations (35.6% saved)

regimes14.0ms (0.6%)

Compiler

Compiled 29 to 23 computations (20.7% saved)

bsearch17.0ms (0.7%)

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 (43.2%)

Algorithm
intervals
Results
456.0ms2666×body1024valid
133.0ms1318×body512valid
83.0ms3048×body128valid
59.0ms291×body2048valid
42.0ms677×body256valid
Compiler

Compiled 87 to 66 computations (24.1% saved)

Profiling

Loading profile data...