Details

Time bar (total: 3.6s)

analyze12.0ms (0.3%)

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

Compiled 29 to 20 computations (31% saved)

sample27.0ms (0.8%)

Algorithm
intervals
Results
13.0ms256×body128valid
3.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify138.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0504713

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.4b
(/.f64 1 (*.f64 i i))

rewrite106.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
37×add-sqr-sqrt_binary64_1123
35×times-frac_binary64_1107
33×*-un-lft-identity_binary64_1101
17×add-cube-cbrt_binary64_1136
15×add-exp-log_binary64_1139
12×difference-of-squares_binary64_1070
10×pow1_binary64_1162
add-cbrt-cube_binary64_1137 associate-/r*_binary64_1045
distribute-lft-out--_binary64_1053
pow-flip_binary64_1175 div-inv_binary64_1098 associate-/l*_binary64_1046
div-exp_binary64_1152
prod-exp_binary64_1150 cbrt-undiv_binary64_1135
1-exp_binary64_1145 rec-exp_binary64_1151 add-log-exp_binary64_1140 frac-2neg_binary64_1112 clear-num_binary64_1100 associate-/r/_binary64_1047
inv-pow_binary64_1186 pow2_binary64_1182 pow-prod-down_binary64_1172 pow-prod-up_binary64_1171 pow-plus_binary64_1164 pow-sqr_binary64_1074 cbrt-unprod_binary64_1134 flip3--_binary64_1105 flip--_binary64_1076
Counts
2 → 81
Calls

2 calls:

8.0ms
(/.f64 1 (*.f64 i i))
8.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series76.0ms (2.1%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

45.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
18.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 395 to 361 computations (8.6% saved)

simplify64.0ms (1.8%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050261341

prune84.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh101
Picked101
Done000
Total95398
Error
0b
Counts
98 → 3
Compiler

Compiled 1324 to 1007 computations (23.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
0.1b
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

rewrite326.0ms (9.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
108×add-sqr-sqrt_binary64_1123
96×times-frac_binary64_1107 *-un-lft-identity_binary64_1101
47×add-cube-cbrt_binary64_1136
30×associate-*r*_binary64_1041
21×difference-of-squares_binary64_1070 associate-*l*_binary64_1042
19×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
18×div-inv_binary64_1098
14×distribute-lft-out--_binary64_1053 distribute-lft-out_binary64_1052
13×associate-/r*_binary64_1045
associate-/r/_binary64_1047
div-exp_binary64_1152 cbrt-undiv_binary64_1135 associate-/l*_binary64_1046
pow1_binary64_1162
prod-exp_binary64_1150 cbrt-unprod_binary64_1134 unswap-sqr_binary64_1069
add-log-exp_binary64_1140
frac-2neg_binary64_1112 clear-num_binary64_1100 flip3--_binary64_1105 flip--_binary64_1076 flip3-+_binary64_1104 flip-+_binary64_1075
pow-prod-down_binary64_1172 frac-times_binary64_1111 associate-*l/_binary64_1044 associate-*r/_binary64_1043 *-commutative_binary64_1032
Counts
3 → 161
Calls

3 calls:

33.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
9.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
Compiler

Compiled 4103 to 3618 computations (11.8% saved)

series144.0ms (4%)

Error
0b
Counts
3 → 36
Calls

3 calls:

49.0ms
(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
31.0ms
(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
30.0ms
(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
Compiler

Compiled 1240 to 1097 computations (11.5% saved)

simplify95.0ms (2.6%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049303696
149303696

prune292.0ms (8.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1970197
Fresh022
Picked011
Done000
Total1973200
Error
0b
Counts
200 → 3
Compiler

Compiled 4183 to 3596 computations (14% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite59.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
33×add-sqr-sqrt_binary64_1123
21×times-frac_binary64_1107 *-un-lft-identity_binary64_1101
13×add-cube-cbrt_binary64_1136
12×difference-of-squares_binary64_1070
associate-/r*_binary64_1045
unpow-prod-down_binary64_1180 sqr-pow_binary64_1073 distribute-lft-out--_binary64_1053
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 associate-/l*_binary64_1046
associate-/r/_binary64_1047
pow1_binary64_1162 div-exp_binary64_1152 add-log-exp_binary64_1140 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 flip3--_binary64_1105 flip--_binary64_1076
Counts
1 → 45
Calls

1 calls:

7.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 769 to 682 computations (11.3% saved)

series63.0ms (1.8%)

Error
0b
Counts
1 → 12
Calls

1 calls:

54.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 314 to 283 computations (9.9% saved)

simplify84.0ms (2.3%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04888963
14888963

prune53.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh011
Picked011
Done011
Total57360
Error
0b
Counts
60 → 3
Compiler

Compiled 802 to 679 computations (15.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
0.0b
(*.f64 (*.f64 i i) -1/4)
0.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))

rewrite100.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×cancel-sign-sub-inv_binary64_1067
10×add-log-exp_binary64_1140
add-sqr-sqrt_binary64_1123
pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101 associate--l+_binary64_1038
unpow-prod-down_binary64_1180
diff-log_binary64_1193
sub-neg_binary64_1094 pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 associate-*r*_binary64_1041
flip3--_binary64_1105 flip--_binary64_1076 sqr-pow_binary64_1073
unswap-sqr_binary64_1069 associate-*l*_binary64_1042 *-commutative_binary64_1032 associate--l-_binary64_1039
Counts
3 → 59
Calls

3 calls:

11.0ms
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
7.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
6.0ms
(*.f64 (*.f64 i i) -1/4)
Compiler

Compiled 1399 to 968 computations (30.8% saved)

series262.0ms (7.3%)

Error
0b
Counts
3 → 18
Calls

3 calls:

150.0ms
(-.f64 (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)) (*.f64 4 (pow.f64 i 6)))
75.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
24.0ms
(*.f64 (*.f64 i i) -1/4)
Compiler

Compiled 579 to 496 computations (14.3% saved)

simplify77.0ms (2.1%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048771114
148771114

prune73.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done022
Total77380
Error
0b
Counts
80 → 3
Compiler

Compiled 1358 to 951 computations (30% saved)

regimes110.0ms (3.1%)

Accuracy

Total 0.1b remaining (99.4%)

Threshold costs 0.1b (99.4%)

Compiler

Compiled 1090 to 943 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03522
13522

end0.0ms (0%)

sample1.3s (36.4%)

Algorithm
intervals
Results
419.0ms8000×body128valid
96.0ms8000×pre128true
Compiler

Compiled 525 to 462 computations (12% saved)

Profiling

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