Details

Time bar (total: 5.3s)

analyze904.0ms (17.1%)

Algorithm
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
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample31.0ms (0.6%)

Algorithm
intervals
Results
14.0ms256×body128valid
3.0ms93×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify209.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
068013
168013

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b
(*.f64 y (-.f64 z t))
6.7b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64_11331 add-sqr-sqrt_binary64_11353
10×add-exp-log_binary64_11369 add-cbrt-cube_binary64_11367
add-cube-cbrt_binary64_11366
cancel-sign-sub-inv_binary64_11297
pow1_binary64_11392 associate-*r*_binary64_11271 add-log-exp_binary64_11370
distribute-lft-in_binary64_11280 distribute-rgt-in_binary64_11281 associate-*r/_binary64_11273
associate-/r*_binary64_11275 associate-*l*_binary64_11272 times-frac_binary64_11337
cbrt-unprod_binary64_11364 div-exp_binary64_11382 associate-/l/_binary64_11278 sub-neg_binary64_11324 cbrt-undiv_binary64_11365 flip3--_binary64_11335 prod-exp_binary64_11380 flip--_binary64_11306
*-commutative_binary64_11262 distribute-lft-out--_binary64_11283 difference-of-squares_binary64_11300 +-commutative_binary64_11261 associate-/l*_binary64_11276 div-inv_binary64_11328 sum-log_binary64_11422 unswap-sqr_binary64_11299 frac-2neg_binary64_11342 distribute-lft-out_binary64_11282 flip3-+_binary64_11334 pow-prod-down_binary64_11402 flip-+_binary64_11305 clear-num_binary64_11330
Counts
3 → 65
Calls

3 calls:

14.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms
(*.f64 y (-.f64 z t))
6.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series312.0ms (5.9%)

Counts
3 → 9
Calls

3 calls:

125.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
116.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
71.0ms
(*.f64 y (-.f64 z t))

simplify75.0ms (1.4%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04964909
14964909

prune61.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New65974
Fresh000
Picked011
Done000
Total651075

Merged error: 0.0b

Counts
75 → 10
Compiler

Compiled 1115 to 328 computations (70.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
1.3b
(/.f64 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t)) (cbrt.f64 a))
6.6b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t))

rewrite44.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
27×add-exp-log_binary64_11369
21×add-sqr-sqrt_binary64_11353
19×add-cbrt-cube_binary64_11367
17×*-un-lft-identity_binary64_11331
15×add-cube-cbrt_binary64_11366
12×cbrt-prod_binary64_11362
10×times-frac_binary64_11337
cbrt-unprod_binary64_11364 div-exp_binary64_11382 cbrt-undiv_binary64_11365 prod-exp_binary64_11380
associate-*l*_binary64_11272
pow1_binary64_11392 associate-/r*_binary64_11275 cancel-sign-sub-inv_binary64_11297
associate-/l/_binary64_11278 associate-*r*_binary64_11271
distribute-lft-in_binary64_11280 add-log-exp_binary64_11370 flip3--_binary64_11335 frac-times_binary64_11341 distribute-rgt-in_binary64_11281 associate-*r/_binary64_11273 flip--_binary64_11306
pow1/3_binary64_11413 sub-neg_binary64_11324 div-inv_binary64_11328 unswap-sqr_binary64_11299 associate-*l/_binary64_11274
*-commutative_binary64_11262 distribute-lft-out--_binary64_11283 difference-of-squares_binary64_11300 associate-/l*_binary64_11276 frac-2neg_binary64_11342 pow-prod-down_binary64_11402 clear-num_binary64_11330
Counts
4 → 100
Calls

4 calls:

18.0ms
(/.f64 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t)) (cbrt.f64 a))
15.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series917.0ms (17.3%)

Counts
4 → 12
Calls

4 calls:

361.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t))
237.0ms
(/.f64 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (-.f64 z t)) (cbrt.f64 a))
167.0ms
(cbrt.f64 a)
152.0ms
(cbrt.f64 a)

simplify54.0ms (1%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054351558

prune102.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh358
Picked101
Done011
Total1157122

Merged error: 0b

Counts
122 → 7
Compiler

Compiled 2147 to 794 computations (63% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))
9.3b
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

rewrite51.0ms (1%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64_11353
56×times-frac_binary64_11337
52×cancel-sign-sub-inv_binary64_11297
48×*-un-lft-identity_binary64_11331
40×add-cube-cbrt_binary64_11366
28×distribute-lft-in_binary64_11280 distribute-rgt-in_binary64_11281 associate-+r+_binary64_11263
13×associate-*l*_binary64_11272
12×associate-*r*_binary64_11271
add-exp-log_binary64_11369 div-inv_binary64_11328 add-cbrt-cube_binary64_11367
distribute-lft-out--_binary64_11283 difference-of-squares_binary64_11300 pow1_binary64_11392 sub-neg_binary64_11324 add-log-exp_binary64_11370 frac-times_binary64_11341 associate-*r/_binary64_11273
cbrt-unprod_binary64_11364 frac-sub_binary64_11340 unswap-sqr_binary64_11299 flip3--_binary64_11335 prod-exp_binary64_11380 sub-div_binary64_11338 flip--_binary64_11306
*-commutative_binary64_11262 div-exp_binary64_11382 +-commutative_binary64_11261 distribute-rgt-out--_binary64_11285 sum-log_binary64_11422 cbrt-undiv_binary64_11365 associate-*l/_binary64_11274 flip3-+_binary64_11334 pow-prod-down_binary64_11402 flip-+_binary64_11305
Counts
2 → 116
Calls

2 calls:

27.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
10.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

series249.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

130.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
119.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
052082129

prune125.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh055
Picked011
Done011
Total1227129

Merged error: 0b

Counts
129 → 7
Compiler

Compiled 2473 to 1316 computations (46.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b
(/.f64 a (-.f64 z t))
5.9b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite56.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_11337
105×*-un-lft-identity_binary64_11331
103×add-sqr-sqrt_binary64_11353
71×add-cube-cbrt_binary64_11366
26×associate-/r*_binary64_11275
16×distribute-lft-out--_binary64_11283 difference-of-squares_binary64_11300
11×associate-/r/_binary64_11277
10×add-exp-log_binary64_11369 add-cbrt-cube_binary64_11367
associate-/l*_binary64_11276 div-inv_binary64_11328
add-log-exp_binary64_11370 flip3--_binary64_11335 flip--_binary64_11306
div-exp_binary64_11382 cbrt-undiv_binary64_11365
pow1_binary64_11392
frac-2neg_binary64_11342 clear-num_binary64_11330
+-commutative_binary64_11261 sum-log_binary64_11422 distribute-lft-out_binary64_11282 flip3-+_binary64_11334 flip-+_binary64_11305
Counts
3 → 151
Calls

3 calls:

23.0ms
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
11.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms
(/.f64 a (-.f64 z t))

series315.0ms (5.9%)

Counts
3 → 9
Calls

3 calls:

133.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
110.0ms
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
72.0ms
(/.f64 a (-.f64 z t))

simplify92.0ms (1.7%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
052363116

prune109.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh044
Picked011
Done022
Total1607167

Merged error: 0b

Counts
167 → 7
Compiler

Compiled 2792 to 559 computations (80% saved)

regimes357.0ms (6.7%)

Compiler

Compiled 2447 to 2168 computations (11.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04693
14693

end0.0ms (0%)

sample1.1s (20.3%)

Algorithm
intervals
Results
289.0ms8000×body128valid
96.0ms2497×body128invalid
Compiler

Compiled 360 to 280 computations (22.2% saved)

Profiling

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