Details

Time bar (total: 3.6s)

analyze852.0ms (23.3%)

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)

sample26.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms104×body80invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify60.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
072013
172013

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

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))
7.7b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite25.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64
associate-*r/_binary64
associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 associate-*l*_binary64 times-frac_binary64 flip--_binary64
associate-/l/_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 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
Counts
3 → 60
Calls

3 calls:

12.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms
(*.f64 y (-.f64 z t))
5.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series38.0ms (1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
13.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms
(*.f64 y (-.f64 z t))

simplify65.0ms (1.8%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05002891

prune61.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0b

Counts
70 → 6
Compiler

Compiled 1011 to 294 computations (70.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
6.4b
(*.f64 (/.f64 y a) (-.f64 t z))

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
13×associate-*l*_binary64
12×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
add-log-exp_binary64 sub-neg_binary64 pow1_binary64
flip3--_binary64 cbrt-unprod_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 associate-+r+_binary64 frac-times_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 53
Calls

2 calls:

9.0ms
(*.f64 (/.f64 y a) (-.f64 t z))
4.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))

series30.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
14.0ms
(*.f64 (/.f64 y a) (-.f64 t z))

simplify56.0ms (1.5%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05013866

prune41.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done000
Total59665

Merged error: 0b

Counts
65 → 6
Compiler

Compiled 944 to 264 computations (72% saved)

localize7.0ms (0.2%)

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))
6.1b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite44.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
141×times-frac_binary64
112×add-sqr-sqrt_binary64
105×*-un-lft-identity_binary64
71×add-cube-cbrt_binary64
26×associate-/r*_binary64
19×difference-of-squares_binary64
17×distribute-lft-out--_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
clear-num_binary64 frac-2neg_binary64
sub-neg_binary64 diff-log_binary64
Counts
3 → 154
Calls

3 calls:

22.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
5.0ms
(/.f64 a (-.f64 z t))

series37.0ms (1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
14.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
8.0ms
(/.f64 a (-.f64 z t))

simplify93.0ms (2.5%)

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050013249

prune82.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1630163
Fresh044
Picked011
Done011
Total1636169

Merged error: 0b

Counts
169 → 6
Compiler

Compiled 2917 to 615 computations (78.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b
(/.f64 (-.f64 z t) a)
6.1b
(*.f64 y (/.f64 (-.f64 z t) a))

rewrite24.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
31×times-frac_binary64
23×add-cube-cbrt_binary64
19×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
associate-/r*_binary64 associate-*l*_binary64
associate-/l/_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
3 → 87
Calls

3 calls:

11.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
6.0ms
(/.f64 (-.f64 z t) a)
3.0ms
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))

series36.0ms (1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
13.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
7.0ms
(/.f64 (-.f64 z t) a)

simplify88.0ms (2.4%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
059671351

prune43.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6
Compiler

Compiled 1454 to 324 computations (77.7% saved)

regimes484.0ms (13.3%)

Compiler

Compiled 551 to 595 computations (-8% saved)

bsearch0.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
018055
118055

end0.0ms (0%)

sample1.4s (38.6%)

Algorithm
intervals
Results
285.0ms8000×body80valid
85.0ms2494×body80invalid
Compiler

Compiled 146 to 118 computations (19.2% saved)

Profiling

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