Details

Time bar (total: 4.4s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample81.0ms (1.8%)

Algorithm
intervals
Results
43.0ms113×body1024valid
16.0ms73×body512valid
9.0ms15×body2048valid
4.0ms35×body256valid
1.0ms20×body128valid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify182.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
045015
145015

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 58.0b

Counts
2 → 1
Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 1 x) (-.f64 1 x))
5.4b
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite28.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64_1088
52×add-sqr-sqrt_binary64_1109
48×times-frac_binary64_1094
30×log-prod_binary64_1171
25×add-cube-cbrt_binary64_1120
18×difference-of-squares_binary64_1057
13×distribute-lft-out_binary64_1041
distribute-lft-out--_binary64_1042
add-exp-log_binary64_1123
associate-/r*_binary64_1034
add-cbrt-cube_binary64_1121 associate-/r/_binary64_1036 associate-/l*_binary64_1035
pow1_binary64_1146
rem-log-exp_binary64_1126 flip3--_binary64_1092 associate-/l/_binary64_1037 flip--_binary64_1063 div-exp_binary64_1136 add-log-exp_binary64_1124 div-inv_binary64_1085
clear-num_binary64_1087 frac-2neg_binary64_1099 log-pow_binary64_1174 log-div_binary64_1172 flip-+_binary64_1062 cbrt-undiv_binary64_1119 flip3-+_binary64_1091
Counts
2 → 91
Calls

2 calls:

9.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series82.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
25.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify88.0ms (2%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
052861898

prune120.0ms (2.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New92597
Fresh000
Picked101
Done000
Total93598

Merged error: 0.0b

Counts
98 → 5
Compiler

Compiled 1786 to 1428 computations (20% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5)))
0.1b
(*.f64 2/5 (pow.f64 x 5))
0.1b
(*.f64 (pow.f64 x 3) 2/3)

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_1109
15×associate-*l*_binary64_1031
13×add-exp-log_binary64_1123
10×associate-*r*_binary64_1030 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
unpow-prod-down_binary64_1164
add-cbrt-cube_binary64_1121 unswap-sqr_binary64_1056
prod-exp_binary64_1134
add-log-exp_binary64_1124
cube-prod_binary64_1113 sqr-pow_binary64_1060
pow1_binary64_1146
*-commutative_binary64_1021 cbrt-unprod_binary64_1118 pow-exp_binary64_1153 pow-to-exp_binary64_1154
unpow3_binary64_1151 cube-mult_binary64_1115 sum-log_binary64_1176 +-commutative_binary64_1020 flip-+_binary64_1062 flip3-+_binary64_1091
Counts
3 → 67
Calls

3 calls:

7.0ms
(*.f64 (pow.f64 x 3) 2/3)
6.0ms
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5)))
6.0ms
(*.f64 2/5 (pow.f64 x 5))

series275.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

169.0ms
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5)))
61.0ms
(*.f64 2/5 (pow.f64 x 5))
45.0ms
(*.f64 (pow.f64 x 3) 2/3)

simplify52.0ms (1.2%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04863889
14863889

prune93.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done000
Total76581

Merged error: 0.0b

Counts
81 → 5
Compiler

Compiled 1722 to 1259 computations (26.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
5.1b
(log.f64 (+.f64 1 x))
5.4b
(log.f64 (-.f64 1 x))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64_1088
20×log-prod_binary64_1171
15×add-sqr-sqrt_binary64_1109
pow1_binary64_1146
log-div_binary64_1172
add-cube-cbrt_binary64_1120
associate--r+_binary64_1026 log-pow_binary64_1174 distribute-lft-out--_binary64_1042
add-exp-log_binary64_1123 difference-of-squares_binary64_1057
associate--l+_binary64_1027
add-cbrt-cube_binary64_1121 flip3--_binary64_1092 flip--_binary64_1063 add-log-exp_binary64_1124
rem-log-exp_binary64_1126 associate--r-_binary64_1029 flip-+_binary64_1062 flip3-+_binary64_1091 distribute-lft-out_binary64_1041 associate--l-_binary64_1028
sub-neg_binary64_1081 diff-log_binary64_1177
Counts
3 → 62
Calls

3 calls:

11.0ms
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.0ms
(log.f64 (-.f64 1 x))
3.0ms
(log.f64 (+.f64 1 x))

series118.0ms (2.7%)

Counts
3 → 9
Calls

3 calls:

72.0ms
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
24.0ms
(log.f64 (-.f64 1 x))
22.0ms
(log.f64 (+.f64 1 x))

simplify101.0ms (2.3%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
050051052

prune73.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh123
Picked101
Done011
Total72476

Merged error: 0.0b

Counts
76 → 4
Compiler

Compiled 1280 to 1032 computations (19.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.1b
(log.f64 (+.f64 1 x))
5.1b
(log.f64 (+.f64 1 x))
5.1b
(log.f64 (+.f64 1 x))
5.4b
(log.f64 (-.f64 1 x))

rewrite21.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×log-prod_binary64_1171
17×*-un-lft-identity_binary64_1088
11×add-sqr-sqrt_binary64_1109
add-exp-log_binary64_1123 log-div_binary64_1172 pow1_binary64_1146 add-cube-cbrt_binary64_1120
add-cbrt-cube_binary64_1121 log-pow_binary64_1174 rem-log-exp_binary64_1126 add-log-exp_binary64_1124
flip-+_binary64_1062 flip3-+_binary64_1091 distribute-lft-out_binary64_1041
difference-of-squares_binary64_1057
flip3--_binary64_1092 flip--_binary64_1063 distribute-lft-out--_binary64_1042
Counts
4 → 62
Calls

4 calls:

4.0ms
(log.f64 (-.f64 1 x))
4.0ms
(log.f64 (+.f64 1 x))
4.0ms
(log.f64 (+.f64 1 x))
4.0ms
(log.f64 (+.f64 1 x))

series88.0ms (2%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(log.f64 (-.f64 1 x))
21.0ms
(log.f64 (+.f64 1 x))
20.0ms
(log.f64 (+.f64 1 x))
19.0ms
(log.f64 (+.f64 1 x))

simplify79.0ms (1.8%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04938880
14938880

prune116.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh022
Picked011
Done011
Total73578

Merged error: 0.0b

Counts
78 → 5
Compiler

Compiled 2171 to 1776 computations (18.2% saved)

regimes41.0ms (0.9%)

Compiler

Compiled 377 to 325 computations (13.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02025
12025

end0.0ms (0%)

sample2.7s (60.7%)

Algorithm
intervals
Results
1.5s3916×body1024valid
432.0ms1972×body512valid
248.0ms429×body2048valid
133.0ms1054×body256valid
38.0ms629×body128valid
Compiler

Compiled 145 to 126 computations (13.1% saved)

Profiling

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