Details

Time bar (total: 5.7s)

analyze1.2s (21.5%)

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.5%)

Algorithm
intervals
Results
7.0ms202×body80valid
2.0ms22×body320valid
2.0ms16×body640valid
2.0ms41×body80invalid
1.0msbody1280valid
1.0ms10×body160valid
0.0msbody2560valid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify118.0ms (2.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
0488719
1488719

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.1b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
3.3b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
6.6b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite41.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64
73×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
27×add-cube-cbrt_binary64
23×difference-of-squares_binary64 distribute-lft-out--_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 associate-*l*_binary64 associate-/l*_binary64 flip--_binary64
associate-/r/_binary64
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 119
Calls

3 calls:

18.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
9.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

series113.0ms (2%)

Counts
3 → 9
Calls

3 calls:

59.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
39.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
15.0ms
(/.f64 (-.f64 t x) (-.f64 a z))

simplify83.0ms (1.5%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051852420

prune129.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New11612128
Fresh000
Picked011
Done000
Total11613129

Merged error: 2.7b

Counts
129 → 13
Compiler

Compiled 2925 to 643 computations (78% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 a z))
0.6b
(cbrt.f64 (-.f64 a z))
1.0b
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
9.6b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite45.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
17×add-sqr-sqrt_binary64
16×cbrt-div_binary64
14×*-un-lft-identity_binary64 add-cbrt-cube_binary64
13×associate-*r*_binary64
10×flip3--_binary64 flip--_binary64 cbrt-prod_binary64
cbrt-unprod_binary64 prod-exp_binary64
add-cube-cbrt_binary64 associate-/r/_binary64
add-log-exp_binary64 pow1_binary64 frac-times_binary64
associate-*l*_binary64
cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
pow1/3_binary64 unswap-sqr_binary64 times-frac_binary64
pow-prod-down_binary64 flip3-+_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 85
Calls

4 calls:

26.0ms
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
6.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
6.0ms
(cbrt.f64 (-.f64 a z))
3.0ms
(cbrt.f64 (-.f64 a z))

series244.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

136.0ms
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
58.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
25.0ms
(cbrt.f64 (-.f64 a z))
25.0ms
(cbrt.f64 (-.f64 a z))

simplify89.0ms (1.6%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049682509
149682509

prune91.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh01111
Picked101
Done011
Total9713110

Merged error: 2.7b

Counts
110 → 13
Compiler

Compiled 4088 to 838 computations (79.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.7b
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
8.7b
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
8.7b
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
10.1b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

rewrite34.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
93×cbrt-prod_binary64
75×times-frac_binary64
37×add-cube-cbrt_binary64
30×difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 associate-/r/_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
cbrt-div_binary64 flip3--_binary64 pow1/3_binary64 div-inv_binary64 flip--_binary64
flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 131
Calls

4 calls:

7.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
7.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
7.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
4.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))

series207.0ms (3.6%)

Counts
4 → 12
Calls

4 calls:

59.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (*.f64 (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z))))) (cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))))
50.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
49.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))
48.0ms
(cbrt.f64 (/.f64 (-.f64 t x) (-.f64 a z)))

simplify135.0ms (2.4%)

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
049353618
149353618

prune106.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh01111
Picked011
Done011
Total14313156

Merged error: 2.7b

Counts
156 → 13
Compiler

Compiled 5959 to 939 computations (84.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 y z))
3.1b
(*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
3.8b
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
8.4b
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))

rewrite65.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
114×cbrt-div_binary64
84×frac-times_binary64
58×flip3--_binary64 flip--_binary64
52×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
37×associate-*r/_binary64
32×associate-*l*_binary64
30×add-exp-log_binary64 associate-*l/_binary64
27×times-frac_binary64
18×pow1_binary64 add-cube-cbrt_binary64 add-cbrt-cube_binary64
15×cbrt-unprod_binary64 prod-exp_binary64
12×difference-of-squares_binary64 distribute-lft-out--_binary64 cbrt-prod_binary64
pow-prod-down_binary64 associate-*r*_binary64
add-log-exp_binary64
unswap-sqr_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64 *-commutative_binary64
flip3-+_binary64 pow1/3_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 166
Calls

4 calls:

28.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
18.0ms
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
5.0ms
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))
3.0ms
(cbrt.f64 (-.f64 y z))

series196.0ms (3.4%)

Counts
4 → 12
Calls

4 calls:

73.0ms
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
56.0ms
(+.f64 x (*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))
43.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
25.0ms
(cbrt.f64 (-.f64 y z))

simplify93.0ms (1.6%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051595799

prune105.0ms (1.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh1910
Picked011
Done022
Total17813191

Merged error: 2.7b

Counts
191 → 13
Compiler

Compiled 5931 to 1131 computations (80.9% saved)

regimes599.0ms (10.5%)

Compiler

Compiled 1782 to 1128 computations (36.7% saved)

bsearch2.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077231
177231

end0.0ms (0%)

sample1.9s (33.1%)

Algorithm
intervals
Results
251.0ms6561×body80valid
64.0ms475×body640valid
49.0ms1196×body80invalid
46.0ms446×body320valid
41.0ms240×body1280valid
18.0ms258×body160valid
7.0ms20×body2560valid
Compiler

Compiled 461 to 227 computations (50.8% saved)

Profiling

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