Details

Time bar (total: 3.0s)

analyze462.0ms (15.2%)

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms16×body80invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify49.0ms (1.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
077313
177313

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 t z))
8.2b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite21.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
12×flip3--_binary64 add-sqr-sqrt_binary64 flip--_binary64
10×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r/_binary64 frac-times_binary64
add-cube-cbrt_binary64
associate-*r*_binary64 associate-*l*_binary64
pow1_binary64 associate-*r/_binary64 associate-*l/_binary64
associate-/l*_binary64 times-frac_binary64
add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 61
Calls

2 calls:

10.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
10.0ms
(*.f64 (-.f64 y z) (-.f64 t z))

series36.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
8.0ms
(*.f64 (-.f64 y z) (-.f64 t z))

simplify65.0ms (2.2%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051011077

prune57.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh000
Picked101
Done000
Total61768

Merged error: 0b

Counts
68 → 7
Compiler

Compiled 1180 to 349 computations (70.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
1.7b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))

rewrite31.0ms (1%)

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt_binary64
42×times-frac_binary64
40×*-un-lft-identity_binary64
36×associate-*r*_binary64
26×add-cube-cbrt_binary64 cbrt-prod_binary64
25×add-exp-log_binary64
18×add-cbrt-cube_binary64
11×associate-*l*_binary64
cbrt-unprod_binary64 prod-exp_binary64
cbrt-undiv_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow1_binary64 unswap-sqr_binary64
add-log-exp_binary64 associate-/r/_binary64
pow1/3_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
pow-prod-down_binary64 associate-*r/_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 110
Calls

4 calls:

23.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series76.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))
14.0ms
(cbrt.f64 x)
14.0ms
(cbrt.f64 x)
14.0ms
(cbrt.f64 x)

simplify79.0ms (2.6%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
057451939

prune71.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh066
Picked011
Done000
Total1227129

Merged error: 0b

Counts
129 → 7
Compiler

Compiled 2487 to 642 computations (74.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (-.f64 t z))
0.0b
(/.f64 1 (-.f64 y z))
2.4b
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

rewrite40.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
67×times-frac_binary64
41×add-cube-cbrt_binary64
31×add-exp-log_binary64
21×associate-*r*_binary64 associate-*l*_binary64
19×add-cbrt-cube_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
11×div-exp_binary64
10×associate-/r*_binary64
associate-/r/_binary64 prod-exp_binary64
pow1_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 associate-/l*_binary64
flip3--_binary64 cbrt-unprod_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64 1-exp_binary64 rec-exp_binary64
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-*r/_binary64 inv-pow_binary64 pow-flip_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 150
Calls

3 calls:

22.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
6.0ms
(/.f64 1 (-.f64 y z))
5.0ms
(/.f64 x (-.f64 t z))

series60.0ms (2%)

Counts
3 → 9
Calls

3 calls:

48.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
7.0ms
(/.f64 x (-.f64 t z))
5.0ms
(/.f64 1 (-.f64 y z))

simplify94.0ms (3.1%)

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
050292282

prune81.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh055
Picked011
Done011
Total1597166

Merged error: 0b

Counts
166 → 7
Compiler

Compiled 2690 to 789 computations (70.7% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 y z))
2.6b
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite29.0ms (1%)

Algorithm
rewrite-expression-head
Rules
210×times-frac_binary64
176×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
88×add-cube-cbrt_binary64
44×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
16×associate-/r/_binary64
10×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
associate-/l/_binary64
Counts
2 → 185
Calls

2 calls:

12.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
6.0ms
(/.f64 x (-.f64 y z))

series37.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
8.0ms
(/.f64 x (-.f64 y z))

simplify128.0ms (4.2%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
053974775

prune84.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh044
Picked011
Done022
Total1917198

Merged error: 0b

Counts
198 → 7
Compiler

Compiled 3708 to 566 computations (84.7% saved)

regimes352.0ms (11.6%)

Compiler

Compiled 739 to 529 computations (28.4% saved)

bsearch24.0ms (0.8%)

Steps
ItersRangePoint
9
2.6804352843473145e+48
7.993154081770706e+53
1.568296114761528e+49
6
-1.6995733738395057e-50
-1.829108078258609e-51
-9.135343175436066e-51
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04369
14369

end0.0ms (0%)

sample1.1s (36.2%)

Algorithm
intervals
Results
237.0ms8000×body80valid
12.0ms411×body80invalid
Compiler

Compiled 195 to 126 computations (35.4% saved)

Profiling

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