Details

Time bar (total: 4.6s)

analyze904.0ms (19.7%)

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
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.6%)

Algorithm
intervals
Results
15.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 23 to 26 computations (-13% saved)

simplify262.0ms (5.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (169.0ms)

IterNodesCost
0497316
1497316

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 10.8b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 y z))
10.5b
(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-cube-cbrt_binary64_21255 *-un-lft-identity_binary64_21220 add-sqr-sqrt_binary64_21242
times-frac_binary64_21226
add-log-exp_binary64_21259 add-cbrt-cube_binary64_21256 add-exp-log_binary64_21258
flip3--_binary64_21224 flip--_binary64_21195 associate-/r*_binary64_21164 associate-/l*_binary64_21165
pow1_binary64_21281 associate-/l/_binary64_21167 associate-/r/_binary64_21166
div-exp_binary64_21271 cancel-sign-sub-inv_binary64_21186 sub-neg_binary64_21213 div-sub_binary64_21225 diff-log_binary64_21312 div-inv_binary64_21217 cbrt-undiv_binary64_21254 clear-num_binary64_21219 frac-2neg_binary64_21231
Counts
2 → 44
Calls

2 calls:

7.0ms
(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))
3.0ms
(-.f64 x (*.f64 y z))

series115.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

89.0ms
(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))
26.0ms
(-.f64 x (*.f64 y z))

simplify62.0ms (1.3%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05664970

prune62.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New371350
Fresh000
Picked011
Done000
Total371451

Merged error: 10.4b

Counts
51 → 14
Compiler

Compiled 1184 to 320 computations (73% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 y z))
0.2b
(/.f64 1 (-.f64 t (*.f64 z a)))
10.4b
(*.f64 (-.f64 x (*.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite28.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64_21242
20×times-frac_binary64_21226 *-un-lft-identity_binary64_21220
19×add-cube-cbrt_binary64_21255
16×add-exp-log_binary64_21258
15×associate-*r*_binary64_21160
10×add-cbrt-cube_binary64_21256
pow1_binary64_21281
flip3--_binary64_21224 add-log-exp_binary64_21259 flip--_binary64_21195
div-exp_binary64_21271 prod-exp_binary64_21269 associate-/r/_binary64_21166
associate-/r*_binary64_21164 associate-/l*_binary64_21165 associate-*l*_binary64_21161 unswap-sqr_binary64_21188
frac-times_binary64_21230 associate-*l/_binary64_21163 1-exp_binary64_21264 div-inv_binary64_21217 cbrt-undiv_binary64_21254 cbrt-unprod_binary64_21253 rec-exp_binary64_21270
inv-pow_binary64_21305 un-div-inv_binary64_21218 cancel-sign-sub-inv_binary64_21186 sub-neg_binary64_21213 pow-flip_binary64_21294 *-commutative_binary64_21151 associate-*r/_binary64_21162 diff-log_binary64_21312 pow-prod-down_binary64_21291 clear-num_binary64_21219 frac-2neg_binary64_21231
Counts
3 → 87
Calls

3 calls:

13.0ms
(*.f64 (-.f64 x (*.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
5.0ms
(/.f64 1 (-.f64 t (*.f64 z a)))
3.0ms
(-.f64 x (*.f64 y z))

series155.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

80.0ms
(*.f64 (-.f64 x (*.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
44.0ms
(/.f64 1 (-.f64 t (*.f64 z a)))
31.0ms
(-.f64 x (*.f64 y z))

simplify65.0ms (1.4%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051221563

prune79.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh21012
Picked011
Done011
Total9614110

Merged error: 10.4b

Counts
110 → 14
Compiler

Compiled 2031 to 588 computations (71% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 y z))
0.3b
(/.f64 1 (/.f64 (-.f64 t (*.f64 z a)) (-.f64 x (*.f64 y z))))
10.5b
(/.f64 (-.f64 t (*.f64 z a)) (-.f64 x (*.f64 y z)))

rewrite33.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64_21226
55×add-cube-cbrt_binary64_21255 *-un-lft-identity_binary64_21220 add-sqr-sqrt_binary64_21242
18×associate-/r*_binary64_21164
16×add-exp-log_binary64_21258
11×associate-/r/_binary64_21166
10×add-cbrt-cube_binary64_21256
div-exp_binary64_21271
flip3--_binary64_21224 flip--_binary64_21195
div-inv_binary64_21217 associate-/l*_binary64_21165
add-log-exp_binary64_21259
pow1_binary64_21281 cbrt-undiv_binary64_21254
associate-/l/_binary64_21167 1-exp_binary64_21264 clear-num_binary64_21219 rec-exp_binary64_21270 frac-2neg_binary64_21231
inv-pow_binary64_21305 cancel-sign-sub-inv_binary64_21186 sub-neg_binary64_21213 pow-flip_binary64_21294 div-sub_binary64_21225 diff-log_binary64_21312
Counts
3 → 128
Calls

3 calls:

9.0ms
(/.f64 1 (/.f64 (-.f64 t (*.f64 z a)) (-.f64 x (*.f64 y z))))
6.0ms
(/.f64 (-.f64 t (*.f64 z a)) (-.f64 x (*.f64 y z)))
3.0ms
(-.f64 x (*.f64 y z))

series285.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

181.0ms
(/.f64 1 (/.f64 (-.f64 t (*.f64 z a)) (-.f64 x (*.f64 y z))))
78.0ms
(/.f64 (-.f64 t (*.f64 z a)) (-.f64 x (*.f64 y z)))
26.0ms
(-.f64 x (*.f64 y z))

simplify77.0ms (1.7%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050113602

prune116.0ms (2.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh2911
Picked011
Done022
Total13813151

Merged error: 10.4b

Counts
151 → 13
Compiler

Compiled 3261 to 721 computations (77.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.5b
(/.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (-.f64 t (*.f64 z a)))
8.7b
(cbrt.f64 (-.f64 x (*.f64 y z)))
8.7b
(cbrt.f64 (-.f64 x (*.f64 y z)))
8.7b
(cbrt.f64 (-.f64 x (*.f64 y z)))

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×add-cube-cbrt_binary64_21255 *-un-lft-identity_binary64_21220 add-sqr-sqrt_binary64_21242
21×cbrt-prod_binary64_21251
18×times-frac_binary64_21226
cbrt-div_binary64_21252
add-exp-log_binary64_21258 associate-/l*_binary64_21165
flip3--_binary64_21224 add-cbrt-cube_binary64_21256 flip--_binary64_21195
pow1_binary64_21281 add-log-exp_binary64_21259
associate-/r*_binary64_21164 pow1/3_binary64_21302
associate-/l/_binary64_21167 associate-/r/_binary64_21166
div-exp_binary64_21271 div-inv_binary64_21217 cbrt-undiv_binary64_21254 clear-num_binary64_21219 frac-2neg_binary64_21231
Counts
4 → 82
Calls

4 calls:

7.0ms
(/.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (-.f64 t (*.f64 z a)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 y z)))
2.0ms
(cbrt.f64 (-.f64 x (*.f64 y z)))
2.0ms
(cbrt.f64 (-.f64 x (*.f64 y z)))

series557.0ms (12.1%)

Counts
4 → 12
Calls

4 calls:

208.0ms
(/.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (-.f64 t (*.f64 z a)))
117.0ms
(cbrt.f64 (-.f64 x (*.f64 y z)))
117.0ms
(cbrt.f64 (-.f64 x (*.f64 y z)))
114.0ms
(cbrt.f64 (-.f64 x (*.f64 y z)))

simplify74.0ms (1.6%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
055232144

prune88.0ms (1.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh099
Picked011
Done033
Total9413107

Merged error: 10.4b

Counts
107 → 13
Compiler

Compiled 3276 to 438 computations (86.6% saved)

regimes359.0ms (7.8%)

Compiler

Compiled 4280 to 2866 computations (33% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05716
15716

end0.0ms (0%)

sample1.2s (25.4%)

Algorithm
intervals
Results
310.0ms8000×body128valid
27.0ms735×body128invalid
Compiler

Compiled 782 to 515 computations (34.1% saved)

Profiling

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