Details

Time bar (total: 4.0s)

analyze535.0ms (13.3%)

Algorithm
1×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 52 to 45 computations (13.5% saved)

sample36.0ms (0.9%)

Algorithm
1×intervals
Results
28.0ms256×body128valid
Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify145.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0510746

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 62 to 56 computations (9.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 2 (+.f64 1 t))
0.0b
(/.f64 (+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
0.0b
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))

rewrite106.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
63×*-un-lft-identity_binary64_1101
49×add-sqr-sqrt_binary64_1123
47×times-frac_binary64_1107
39×add-cube-cbrt_binary64_1136
36×associate-*l*_binary64_1042
18×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
12×distribute-lft-out_binary64_1052
9×flip3-+_binary64_1104 flip-+_binary64_1075
8×pow1_binary64_1162 associate-/r/_binary64_1047 associate-*r*_binary64_1041
7×associate-/r*_binary64_1045
6×associate-/l*_binary64_1046
4×cbrt-unprod_binary64_1134 frac-times_binary64_1111 add-log-exp_binary64_1140 prod-exp_binary64_1150 associate-*r/_binary64_1043 div-inv_binary64_1098 div-exp_binary64_1152 cbrt-undiv_binary64_1135 unswap-sqr_binary64_1069
2×*-commutative_binary64_1032 frac-2neg_binary64_1112 distribute-lft-in_binary64_1050 clear-num_binary64_1100 associate-/l/_binary64_1048 pow-prod-down_binary64_1172 associate-*l/_binary64_1044 distribute-rgt-in_binary64_1051
Counts
4 → 152
Calls

4 calls:

42.0ms
(/.f64 (+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
21.0ms
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
20.0ms
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
5.0ms
(/.f64 2 (+.f64 1 t))

series91.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

39.0ms
(/.f64 (+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
22.0ms
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
20.0ms
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
9.0ms
(/.f64 2 (+.f64 1 t))

simplify122.0ms (3%)

Algorithm
1×egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
048964242
148964242

prune426.0ms (10.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1631164
Fresh000
Picked011
Done000
Total1632165
Error
0b
Counts
165 → 2
Compiler

Compiled 6481 to 5614 computations (13.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
1.0b
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
1.0b
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
1.0b
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))

rewrite129.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
57×*-un-lft-identity_binary64_1101
32×cbrt-prod_binary64_1132
28×times-frac_binary64_1107
25×add-sqr-sqrt_binary64_1123 add-cube-cbrt_binary64_1136
16×distribute-lft-out_binary64_1052
8×cbrt-div_binary64_1133
7×associate-/r*_binary64_1045
6×add-exp-log_binary64_1139
5×flip3-+_binary64_1104 add-cbrt-cube_binary64_1137 flip-+_binary64_1075
4×add-log-exp_binary64_1140 pow1_binary64_1162 associate-/l*_binary64_1046
3×pow1/3_binary64_1183
2×associate-/l/_binary64_1048 associate-/r/_binary64_1047
1×frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 div-exp_binary64_1152 cbrt-undiv_binary64_1135
Counts
4 → 97
Calls

4 calls:

49.0ms
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
23.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
20.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
20.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))

series165.0ms (4.1%)

Counts
4 → 12
Calls

4 calls:

61.0ms
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
40.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
32.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
32.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))

simplify107.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
048905217
148905217

prune526.0ms (13%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111
Error
0b
Counts
111 → 2
Compiler

Compiled 8184 to 7114 computations (13.1% saved)

regimes170.0ms (4.2%)

Accuracy

Total 0.0b remaining (99.1%)

Threshold costs 0.0b (99.1%)

Compiler

Compiled 2575 to 2271 computations (11.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05840
15840

end0.0ms (0%)

sample1.4s (35.8%)

Algorithm
1×intervals
Results
909.0ms8000×body128valid
Compiler

Compiled 556 to 491 computations (11.7% saved)

Profiling

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