Details

Time bar (total: 35.5s)

analyze6.3s (17.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
0.6%99.2%0.2%13
1.8%98%0.2%14
Compiler

Compiled 66 to 47 computations (28.8% saved)

sample410.0ms (1.2%)

Algorithm
1×intervals
Results
288.0ms166×body1024valid
43.0ms39×body512valid
35.0ms12×body2048valid
10.0ms14×body256valid
8.0ms25×body128valid
Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify193.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04778103
14778103

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
25.0b
Counts
2 → 1
Compiler

Compiled 130 to 92 computations (29.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.8b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite136.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
23.6b
Rules
4×div-sub_binary64_3493 sin-diff_binary64_3624 pow1_binary64_3549 add-log-exp_binary64_3527 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524 add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
Counts
4 → 32
Calls

4 calls:

5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series432.0ms (1.2%)

Error
23.8b
Counts
4 → 38
Calls

4 calls:

88.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
82.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
71.0ms
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
70.0ms
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
Compiler

Compiled 6840 to 4602 computations (32.7% saved)

simplify73.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
051781038

prune310.0ms (0.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New472370
Fresh000
Picked101
Done000
Total482371
Error
23.4b
Counts
71 → 23
Compiler

Compiled 6506 to 3997 computations (38.6% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite149.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
13.3b
Rules
4×div-sub_binary64_3493 sin-diff_binary64_3624 pow1_binary64_3549 add-log-exp_binary64_3527 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524 add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
Counts
4 → 32
Calls

4 calls:

5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 2744 to 1730 computations (37% saved)

series550.0ms (1.6%)

Error
22.6b
Counts
4 → 44
Calls

4 calls:

97.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
96.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
95.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
86.0ms
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
Compiler

Compiled 9044 to 6429 computations (28.9% saved)

simplify75.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050511257

prune420.0ms (1.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New641276
Fresh91322
Picked101
Done000
Total742599
Error
13.2b
Counts
99 → 25
Compiler

Compiled 8301 to 5462 computations (34.2% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite179.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
13.1b
Rules
4×div-sub_binary64_3493 sin-diff_binary64_3624 pow1_binary64_3549 add-log-exp_binary64_3527 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524 add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
Counts
4 → 32
Calls

4 calls:

5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 3160 to 2113 computations (33.1% saved)

series637.0ms (1.8%)

Error
13.1b
Counts
4 → 48
Calls

4 calls:

105.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
105.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
104.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
103.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 11024 to 8082 computations (26.7% saved)

simplify89.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049401412
149401412

prune519.0ms (1.5%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New691180
Fresh91524
Picked101
Done000
Total7926105
Error
13.1b
Counts
105 → 26
Compiler

Compiled 10008 to 6900 computations (31.1% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0b
(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite229.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Error
13.1b
Rules
6×add-cube-cbrt_binary64_3523 add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
5×pow1_binary64_3549
4×log-pow_binary64_3577 div-sub_binary64_3493 sin-diff_binary64_3624 add-log-exp_binary64_3527 add-exp-log_binary64_3526 add-cbrt-cube_binary64_3524
3×exp-prod_binary64_3540 log-prod_binary64_3574
1×exp-diff_binary64_3536 log-div_binary64_3575 rem-log-exp_binary64_3529
Counts
4 → 40
Calls

4 calls:

7.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms
(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 4042 to 2729 computations (32.5% saved)

series797.0ms (2.2%)

Error
13.1b
Counts
4 → 48
Calls

4 calls:

252.0ms
(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
108.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
108.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
106.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 11248 to 8306 computations (26.2% saved)

simplify114.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
049371532
149371532

prune464.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh22325
Picked101
Done000
Total8727114
Error
13.1b
Counts
114 → 27
Compiler

Compiled 8721 to 5901 computations (32.3% saved)

regimes4.8s (13.6%)

Accuracy

Total 0.6b remaining (4.4%)

Threshold costs 0.6b (4.4%)

Compiler

Compiled 87376 to 65296 computations (25.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0153149
1153149

end0.0ms (0%)

sample18.4s (51.8%)

Algorithm
1×intervals
Results
9.2s5204×body1024valid
1.4s1273×body512valid
1.2s423×body2048valid
299.0ms411×body256valid
221.0ms689×body128valid
3.0ms2×body1024invalid
1.0ms1×body512invalid
Compiler

Compiled 7401 to 5530 computations (25.3% saved)

Profiling

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