Details

Time bar (total: 2.7s)

analyze334.0ms (12.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 30 to 27 computations (10% saved)

sample23.0ms (0.9%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify151.0ms (5.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0489225
1489225

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 34 to 32 computations (5.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b
(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))

rewrite91.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity_binary64_1101
44×times-frac_binary64_1107
42×add-sqr-sqrt_binary64_1123
31×add-cube-cbrt_binary64_1136
18×distribute-lft-out_binary64_1052 cancel-sign-sub-inv_binary64_1067
10×add-exp-log_binary64_1139
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137 associate-/r*_binary64_1045
associate-/l*_binary64_1046
difference-of-squares_binary64_1070 associate-/r/_binary64_1047
pow1_binary64_1162 flip3-+_binary64_1104 flip-+_binary64_1075
div-inv_binary64_1098
div-exp_binary64_1152
frac-2neg_binary64_1112 clear-num_binary64_1100 distribute-lft-out--_binary64_1053 associate-/l/_binary64_1048 cbrt-undiv_binary64_1135
inv-pow_binary64_1186 diff-log_binary64_1193 1-exp_binary64_1145 sum-log_binary64_1192 sub-neg_binary64_1094 flip--_binary64_1076 flip3--_binary64_1105 rec-exp_binary64_1151 +-commutative_binary64_1031 pow-flip_binary64_1175
Counts
4 → 126
Calls

4 calls:

31.0ms
(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
22.0ms
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
15.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
10.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)

series94.0ms (3.5%)

Counts
4 → 27
Calls

4 calls:

25.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
24.0ms
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
23.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
22.0ms
(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
Compiler

Compiled 408 to 390 computations (4.4% saved)

simplify88.0ms (3.3%)

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051563703

prune221.0ms (8.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh000
Picked011
Done000
Total1522154

Merged error: 0b

Counts
154 → 2
Compiler

Compiled 3573 to 3136 computations (12.2% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.5b
(exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
1.1b
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))

rewrite94.0ms (3.6%)

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity_binary64_1101
36×exp-prod_binary64_1153 times-frac_binary64_1107
30×add-sqr-sqrt_binary64_1123 add-cube-cbrt_binary64_1136
19×log-pow_binary64_1190
11×distribute-lft-out_binary64_1052
add-exp-log_binary64_1139
add-log-exp_binary64_1140
pow1_binary64_1162 associate-/r/_binary64_1047 add-cbrt-cube_binary64_1137
flip3-+_binary64_1104 flip-+_binary64_1075 associate-/r*_binary64_1045
div-inv_binary64_1098 associate-/l*_binary64_1046 log-prod_binary64_1187
div-exp_binary64_1152
inv-pow_binary64_1186 1-exp_binary64_1145 rem-exp-log_binary64_1141 frac-2neg_binary64_1112 sum-log_binary64_1192 rem-log-exp_binary64_1142 clear-num_binary64_1100 rec-exp_binary64_1151 +-commutative_binary64_1031 cbrt-undiv_binary64_1135 pow-flip_binary64_1175
Counts
4 → 105
Calls

4 calls:

25.0ms
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
24.0ms
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))
23.0ms
(exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
10.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)

series118.0ms (4.4%)

Counts
4 → 26
Calls

4 calls:

39.0ms
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))
36.0ms
(exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
23.0ms
(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
20.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
Compiler

Compiled 445 to 433 computations (2.7% saved)

simplify201.0ms (7.6%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
048712838
148712838

prune190.0ms (7.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133

Merged error: 0b

Counts
133 → 2
Compiler

Compiled 3495 to 3095 computations (11.4% saved)

regimes203.0ms (7.6%)

Compiler

Compiled 1392 to 1321 computations (5.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03725
13725

end0.0ms (0%)

sample822.0ms (30.9%)

Algorithm
intervals
Results
545.0ms8000×body128valid
Compiler

Compiled 143 to 137 computations (4.2% saved)

Profiling

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