Details

Time bar (total: 10.2s)

analyze1.3s (13.1%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022870
122870
044
144
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
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample65.0ms (0.6%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
5.0ms81×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
06810
16810

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.1b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.8b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite12.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×add-cbrt-cube_binary64_6252 add-exp-log_binary64_6254
4×cbrt-undiv_binary64_6250 prod-exp_binary64_6265 div-exp_binary64_6267 cbrt-unprod_binary64_6249
1×div-inv_binary64_6213 *-un-lft-identity_binary64_6216 associate-/r*_binary64_6160 clear-num_binary64_6215 add-cube-cbrt_binary64_6251 frac-2neg_binary64_6227 associate-/l*_binary64_6161 add-log-exp_binary64_6255 times-frac_binary64_6222 add-sqr-sqrt_binary64_6238 pow1_binary64_6277
Counts
1 → 21
Calls

1 calls:

10.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series315.0ms (3.1%)

Counts
1 → 12
Calls

1 calls:

315.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 168 to 168 computations (0% saved)

simplify142.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
05076370

prune51.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New27633
Fresh000
Picked011
Done000
Total27734
Error
0.1b
Counts
34 → 7
Compiler

Compiled 353 to 99 computations (72% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.8b
(/.f64 1 (*.f64 b1 b2))
11.7b
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

rewrite37.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
58×add-exp-log_binary64_6254
30×prod-exp_binary64_6265
28×add-cbrt-cube_binary64_6252
12×div-exp_binary64_6267 cbrt-unprod_binary64_6249
10×pow1_binary64_6277
7×associate-*r*_binary64_6156
6×rec-exp_binary64_6266 *-un-lft-identity_binary64_6216 1-exp_binary64_6260 cbrt-undiv_binary64_6250 add-cube-cbrt_binary64_6251 times-frac_binary64_6222 add-sqr-sqrt_binary64_6238
4×pow-prod-down_binary64_6287
3×associate-/l*_binary64_6161
2×pow-flip_binary64_6290 div-inv_binary64_6213 add-log-exp_binary64_6255
1×associate-/r*_binary64_6160 clear-num_binary64_6215 frac-2neg_binary64_6227 associate-*r/_binary64_6158 inv-pow_binary64_6301 associate-*l*_binary64_6157 un-div-inv_binary64_6214 *-commutative_binary64_6147
Counts
2 → 68
Calls

2 calls:

19.0ms
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
9.0ms
(/.f64 1 (*.f64 b1 b2))

series411.0ms (4%)

Counts
2 → 18
Calls

2 calls:

329.0ms
(*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
82.0ms
(/.f64 1 (*.f64 b1 b2))
Compiler

Compiled 276 to 276 computations (0% saved)

simplify133.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
04991834
14991834

prune115.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New79786
Fresh235
Picked101
Done101
Total831093
Error
0.0b
Counts
93 → 10
Compiler

Compiled 993 to 348 computations (65% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (/.f64 1 b1) b2)
11.7b
(*.f64 (*.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))

rewrite73.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
141×times-frac_binary64_6222
79×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 add-sqr-sqrt_binary64_6238
46×add-exp-log_binary64_6254
43×associate-*r*_binary64_6156
28×add-cbrt-cube_binary64_6252
18×div-exp_binary64_6267
15×prod-exp_binary64_6265
13×associate-/l*_binary64_6161
9×div-inv_binary64_6213 cbrt-undiv_binary64_6250 cbrt-unprod_binary64_6249
7×pow1_binary64_6277
3×rec-exp_binary64_6266 associate-/r*_binary64_6160 1-exp_binary64_6260 pow-prod-down_binary64_6287
2×add-log-exp_binary64_6255
1×clear-num_binary64_6215 frac-2neg_binary64_6227 associate-/l/_binary64_6163 associate-*r/_binary64_6158 associate-*l*_binary64_6157 *-commutative_binary64_6147
Counts
2 → 143
Calls

2 calls:

35.0ms
(*.f64 (*.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
12.0ms
(/.f64 (/.f64 1 b1) b2)

series433.0ms (4.3%)

Counts
2 → 18
Calls

2 calls:

337.0ms
(*.f64 (*.f64 a1 a2) (/.f64 (/.f64 1 b1) b2))
96.0ms
(/.f64 (/.f64 1 b1) b2)
Compiler

Compiled 276 to 276 computations (0% saved)

simplify169.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
050222331

prune222.0ms (2.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1583161
Fresh369
Picked011
Done000
Total16110171
Error
0.0b
Counts
171 → 10
Compiler

Compiled 2478 to 1067 computations (56.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 1 b1))
0.6b
(cbrt.f64 (/.f64 1 b1))
3.7b
(*.f64 (*.f64 a1 a2) (*.f64 (cbrt.f64 (/.f64 1 b1)) (cbrt.f64 (/.f64 1 b1))))
8.5b
(*.f64 (*.f64 (*.f64 a1 a2) (*.f64 (cbrt.f64 (/.f64 1 b1)) (cbrt.f64 (/.f64 1 b1)))) (/.f64 (cbrt.f64 (/.f64 1 b1)) b2))

rewrite132.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
93×times-frac_binary64_6222
65×cbrt-prod_binary64_6247
59×*-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 add-sqr-sqrt_binary64_6238
57×add-exp-log_binary64_6254
53×associate-*r*_binary64_6156
40×add-cbrt-cube_binary64_6252
34×prod-exp_binary64_6265 cbrt-unprod_binary64_6249 pow1_binary64_6277
21×pow-prod-down_binary64_6287
14×cbrt-div_binary64_6248
13×associate-*r/_binary64_6158
6×div-inv_binary64_6213 associate-*l/_binary64_6159 frac-times_binary64_6226
5×cbrt-undiv_binary64_6250 div-exp_binary64_6267
4×add-log-exp_binary64_6255
2×pow1/3_binary64_6298 associate-*l*_binary64_6157 *-commutative_binary64_6147
Counts
4 → 162
Calls

4 calls:

54.0ms
(*.f64 (*.f64 (*.f64 a1 a2) (*.f64 (cbrt.f64 (/.f64 1 b1)) (cbrt.f64 (/.f64 1 b1)))) (/.f64 (cbrt.f64 (/.f64 1 b1)) b2))
26.0ms
(*.f64 (*.f64 a1 a2) (*.f64 (cbrt.f64 (/.f64 1 b1)) (cbrt.f64 (/.f64 1 b1))))
5.0ms
(cbrt.f64 (/.f64 1 b1))
5.0ms
(cbrt.f64 (/.f64 1 b1))

series1.4s (13.9%)

Counts
4 → 27
Calls

4 calls:

714.0ms
(*.f64 (*.f64 a1 a2) (*.f64 (cbrt.f64 (/.f64 1 b1)) (cbrt.f64 (/.f64 1 b1))))
423.0ms
(*.f64 (*.f64 (*.f64 a1 a2) (*.f64 (cbrt.f64 (/.f64 1 b1)) (cbrt.f64 (/.f64 1 b1)))) (/.f64 (cbrt.f64 (/.f64 1 b1)) b2))
139.0ms
(cbrt.f64 (/.f64 1 b1))
132.0ms
(cbrt.f64 (/.f64 1 b1))
Compiler

Compiled 780 to 738 computations (5.4% saved)

simplify216.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
049973239
149973239

prune380.0ms (3.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh088
Picked011
Done011
Total18910199
Error
0.0b
Counts
199 → 10
Compiler

Compiled 3869 to 2257 computations (41.7% saved)

regimes1.3s (13.1%)

Accuracy

Total 2.8b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 2632 to 2335 computations (11.3% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04092
14092
Compiler

Compiled 248 to 100 computations (59.7% saved)

end0.0ms (0%)

sample3.0s (30%)

Algorithm
1×intervals
Results
508.0ms1896×body128invalid
451.0ms8000×body128valid
Compiler

Compiled 375 to 307 computations (18.1% saved)

Profiling

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