Details

Time bar (total: 2.6s)

analyze305.0ms (11.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample30.0ms (1.2%)

Algorithm
intervals
Results
14.0ms89×body1024valid
6.0ms32×body512valid
3.0ms107×body128valid
1.0ms24×body256valid
1.0msbody2048valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify166.0ms (6.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11011

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.9b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.6b
(-.f64 (exp.f64 x) 1)

rewrite19.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_1133
30×*-un-lft-identity_binary64_1111
21×times-frac_binary64_1117
15×add-cube-cbrt_binary64_1146
10×difference-of-squares_binary64_1080
associate-/r*_binary64_1055
difference-of-sqr-1_binary64_1081 distribute-lft-out--_binary64_1063
add-cbrt-cube_binary64_1147 add-log-exp_binary64_1150
cancel-sign-sub-inv_binary64_1077 associate-/l*_binary64_1056 add-exp-log_binary64_1149
flip3--_binary64_1115 pow1_binary64_1172 flip--_binary64_1086 associate-/r/_binary64_1057
div-inv_binary64_1108 frac-2neg_binary64_1122 diff-log_binary64_1203 div-exp_binary64_1162 cbrt-undiv_binary64_1145 sub-neg_binary64_1104 clear-num_binary64_1110
Counts
2 → 63
Calls

2 calls:

9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
6.0ms
(-.f64 (exp.f64 x) 1)

series90.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

70.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
19.0ms
(-.f64 (exp.f64 x) 1)

simplify65.0ms (2.5%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
057121129

prune136.0ms (5.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5
Compiler

Compiled 1971 to 1192 computations (39.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (exp.f64 x) (+.f64 x (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))))
0.0b
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.1b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.4b
(*.f64 x 1/6)

rewrite32.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_1133
17×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
15×add-cbrt-cube_binary64_1147
14×add-exp-log_binary64_1149
13×pow1_binary64_1172
times-frac_binary64_1117 associate-*l*_binary64_1052
associate-*r*_binary64_1051
associate-*r/_binary64_1053
prod-exp_binary64_1160 cbrt-unprod_binary64_1144 distribute-lft-in_binary64_1060 pow-prod-down_binary64_1182 distribute-rgt-in_binary64_1061
add-log-exp_binary64_1150
*-commutative_binary64_1042 flip-+_binary64_1085 associate-/r*_binary64_1055 associate-/l*_binary64_1056 flip3-+_binary64_1114
unswap-sqr_binary64_1079 associate-/r/_binary64_1057
div-inv_binary64_1108 frac-2neg_binary64_1122 div-exp_binary64_1162 cbrt-undiv_binary64_1145 clear-num_binary64_1110
Counts
4 → 93
Calls

4 calls:

8.0ms
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
6.0ms
(/.f64 (exp.f64 x) (+.f64 x (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))))
4.0ms
(*.f64 x 1/6)

series245.0ms (9.3%)

Counts
4 → 12
Calls

4 calls:

95.0ms
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
79.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
49.0ms
(/.f64 (exp.f64 x) (+.f64 x (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))))
20.0ms
(*.f64 x 1/6)

simplify69.0ms (2.6%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049461834
149461834

prune100.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done000
Total1055110

Merged error: 0.0b

Counts
110 → 5
Compiler

Compiled 2176 to 1355 computations (37.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
0.4b
(*.f64 x 1/12)

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1150
add-sqr-sqrt_binary64_1133
add-cbrt-cube_binary64_1147 *-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146 pow1_binary64_1172 add-exp-log_binary64_1149
associate-*r*_binary64_1051 associate-*l*_binary64_1052 sum-log_binary64_1202
*-commutative_binary64_1042 prod-exp_binary64_1160 cbrt-unprod_binary64_1144 flip-+_binary64_1085 flip3-+_binary64_1114 +-commutative_binary64_1041 pow-prod-down_binary64_1182 unswap-sqr_binary64_1079 associate-+r+_binary64_1043
Counts
2 → 31
Calls

2 calls:

10.0ms
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
4.0ms
(*.f64 x 1/12)

series43.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(*.f64 x 1/12)
17.0ms
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))

simplify66.0ms (2.5%)

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04907417
14907417

prune31.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh033
Picked011
Done011
Total37542

Merged error: 0.0b

Counts
42 → 5
Compiler

Compiled 523 to 418 computations (20.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.6b
(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133
18×times-frac_binary64_1117
14×add-cube-cbrt_binary64_1146
10×difference-of-squares_binary64_1080
associate-/r*_binary64_1055 add-exp-log_binary64_1149
distribute-lft-out--_binary64_1063
add-cbrt-cube_binary64_1147 add-log-exp_binary64_1150
cancel-sign-sub-inv_binary64_1077 associate-/l*_binary64_1056 pow1_binary64_1172
flip3--_binary64_1115 div-exp_binary64_1162 flip--_binary64_1086 associate-/r/_binary64_1057
div-inv_binary64_1108 pow-flip_binary64_1185 frac-2neg_binary64_1122 diff-log_binary64_1203 1-exp_binary64_1155 rec-exp_binary64_1161 cbrt-undiv_binary64_1145 sub-neg_binary64_1104 clear-num_binary64_1110 inv-pow_binary64_1196
Counts
2 → 62
Calls

2 calls:

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

series93.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
22.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

simplify76.0ms (2.9%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049131052
149131052

prune49.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done022
Total68573

Merged error: 0.0b

Counts
73 → 5
Compiler

Compiled 865 to 550 computations (36.4% saved)

regimes20.0ms (0.8%)

Compiler

Compiled 110 to 90 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
11621

end0.0ms (0%)

sample936.0ms (35.5%)

Algorithm
intervals
Results
411.0ms2629×body1024valid
112.0ms1308×body512valid
79.0ms3090×body128valid
46.0ms265×body2048valid
42.0ms708×body256valid
0.0msbody2048invalid
Compiler

Compiled 81 to 66 computations (18.5% saved)

Profiling

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