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)

sample28.0ms (1.1%)

Algorithm
intervals
Results
15.0ms97×body1024valid
3.0ms33×body512valid
2.0ms96×body128valid
1.0msbody2048valid
1.0ms23×body256valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify101.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
01689
11689

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.6b

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)
6.1b
(-.f64 (exp.f64 x) 1)

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_2146
30×*-un-lft-identity_binary64_2124
21×times-frac_binary64_2130
15×add-cube-cbrt_binary64_2159
10×difference-of-squares_binary64_2093
associate-/l*_binary64_2069
distribute-lft-out--_binary64_2076 difference-of-sqr-1_binary64_2094
add-log-exp_binary64_2163 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
cancel-sign-sub-inv_binary64_2090 associate-/r*_binary64_2068
flip--_binary64_2099 flip3--_binary64_2128 pow1_binary64_2185 associate-/l/_binary64_2071
clear-num_binary64_2123 cbrt-undiv_binary64_2158 diff-log_binary64_2216 sub-neg_binary64_2117 div-sub_binary64_2129 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
2 → 64
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms
(-.f64 (exp.f64 x) 1)

series33.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

24.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
9.0ms
(-.f64 (exp.f64 x) 1)

simplify77.0ms (3.1%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049591016
149591016

prune67.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh000
Picked101
Done000
Total67471

Merged error: 0.0b

Counts
71 → 4
Compiler

Compiled 887 to 486 computations (45.2% 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)

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_2146
pow1_binary64_2185 add-cube-cbrt_binary64_2159 associate-*l*_binary64_2065 associate-*r*_binary64_2064 add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124 add-cbrt-cube_binary64_2160
pow-prod-down_binary64_2195 unswap-sqr_binary64_2092 *-commutative_binary64_2055 add-log-exp_binary64_2163 prod-exp_binary64_2173 associate-*r/_binary64_2066 cbrt-unprod_binary64_2157
distribute-rgt-in_binary64_2074 flip3-+_binary64_2127 flip-+_binary64_2098 distribute-lft-in_binary64_2073
Counts
2 → 40
Calls

2 calls:

5.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
4.0ms
(*.f64 x 1/6)

series48.0ms (2%)

Counts
2 → 6
Calls

2 calls:

36.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
12.0ms
(*.f64 x 1/6)

simplify83.0ms (3.4%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04923440
14923440

prune37.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh033
Picked011
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4
Compiler

Compiled 639 to 499 computations (21.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (exp.f64 x) x)
5.7b
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite26.0ms (1%)

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64_2146
33×*-un-lft-identity_binary64_2124
32×times-frac_binary64_2130
19×add-cube-cbrt_binary64_2159
13×cancel-sign-sub-inv_binary64_2090
div-inv_binary64_2121
difference-of-squares_binary64_2093
distribute-lft-out--_binary64_2076
add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160
associate-/l*_binary64_2069 associate-/r*_binary64_2068 distribute-rgt-out--_binary64_2078 add-exp-log_binary64_2162
pow1_binary64_2185
flip--_binary64_2099 clear-num_binary64_2123 flip3--_binary64_2128 cbrt-undiv_binary64_2158 sub-div_binary64_2131 diff-log_binary64_2216 sub-neg_binary64_2117 frac-sub_binary64_2133 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
2 → 67
Calls

2 calls:

15.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
4.0ms
(/.f64 (exp.f64 x) x)

series38.0ms (1.5%)

Counts
2 → 6
Calls

2 calls:

20.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
17.0ms
(/.f64 (exp.f64 x) x)

simplify69.0ms (2.8%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05086901

prune46.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh112
Picked011
Done011
Total73477

Merged error: 0.0b

Counts
77 → 4
Compiler

Compiled 927 to 423 computations (54.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
6.1b
(-.f64 (exp.f64 x) 1)

rewrite18.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_2146
22×cbrt-prod_binary64_2155
18×*-un-lft-identity_binary64_2124
15×add-cube-cbrt_binary64_2159
11×pow1_binary64_2185
pow1/3_binary64_2206
swap-sqr_binary64_2091 add-log-exp_binary64_2163 associate-*l*_binary64_2065 associate-*r*_binary64_2064 add-exp-log_binary64_2162
unswap-sqr_binary64_2092 add-cbrt-cube_binary64_2160
cancel-sign-sub-inv_binary64_2090
difference-of-squares_binary64_2093 pow-prod-down_binary64_2195 pow-prod-up_binary64_2194 pow-sqr_binary64_2097
flip--_binary64_2099 flip3--_binary64_2128 distribute-lft-out--_binary64_2076 *-commutative_binary64_2055 diff-log_binary64_2216 prod-exp_binary64_2173 pow-plus_binary64_2187 sub-neg_binary64_2117 pow2_binary64_2205 difference-of-sqr-1_binary64_2094 cbrt-unprod_binary64_2157
Counts
4 → 80
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
4.0ms
(-.f64 (exp.f64 x) 1)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series282.0ms (11.5%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
88.0ms
(cbrt.f64 x)
78.0ms
(cbrt.f64 x)
9.0ms
(-.f64 (exp.f64 x) 1)

simplify59.0ms (2.4%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05055683

prune75.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh011
Picked011
Done022
Total91596

Merged error: 0.0b

Counts
96 → 5
Compiler

Compiled 1645 to 804 computations (51.1% saved)

regimes91.0ms (3.7%)

Compiler

Compiled 718 to 520 computations (27.6% saved)

bsearch17.0ms (0.7%)

Steps
ItersRangePoint
10
-35.49669507873496
-5.980806973161955e-09
-0.00014150012494369325
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03028
13028

end0.0ms (0%)

sample1.2s (48.8%)

Algorithm
intervals
Results
406.0ms2591×body1024valid
111.0ms1300×body512valid
78.0ms3093×body128valid
49.0ms279×body2048valid
45.0ms737×body256valid
0.0msbody128invalid
Compiler

Compiled 372 to 270 computations (27.4% saved)

Profiling

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