Details

Time bar (total: 7.8s)

analyze1.7s (21.6%)

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)

sample46.0ms (0.6%)

Algorithm
intervals
Results
16.0ms256×body128valid
6.0ms92×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify261.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
071913
171913

prune4.0ms (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)

localize15.0ms (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))
7.3b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite50.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_9648
15×*-un-lft-identity_binary64_9626
13×cancel-sign-sub-inv_binary64_9592
11×add-cube-cbrt_binary64_9661
10×add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
times-frac_binary64_9632
add-log-exp_binary64_9665 pow1_binary64_9687 associate-*r*_binary64_9566
distribute-rgt-in_binary64_9576 associate-*r/_binary64_9568 distribute-lft-in_binary64_9575
associate-*l*_binary64_9567 flip3--_binary64_9630 sub-neg_binary64_9619 flip--_binary64_9601 associate-/r*_binary64_9570
div-exp_binary64_9677 prod-exp_binary64_9675 distribute-lft-out--_binary64_9578 difference-of-squares_binary64_9595 associate-/l/_binary64_9573 cbrt-undiv_binary64_9660 div-inv_binary64_9623 cbrt-unprod_binary64_9659
diff-log_binary64_9718 pow-prod-down_binary64_9697 *-commutative_binary64_9557 unswap-sqr_binary64_9594 associate-/l*_binary64_9571 frac-2neg_binary64_9637 clear-num_binary64_9625
Counts
3 → 73
Calls

3 calls:

15.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
14.0ms
(*.f64 y (-.f64 z t))
11.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series262.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

109.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
92.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
61.0ms
(*.f64 y (-.f64 z t))

simplify68.0ms (0.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052101067

prune117.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76682
Fresh000
Picked011
Done000
Total76783

Merged error: 0.0b

Counts
83 → 7
Compiler

Compiled 1180 to 307 computations (74% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
3.7b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite62.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64_9648
40×times-frac_binary64_9632
38×*-un-lft-identity_binary64_9626
34×associate-*r*_binary64_9566
26×add-cube-cbrt_binary64_9661 cbrt-prod_binary64_9657
25×add-exp-log_binary64_9664
18×add-cbrt-cube_binary64_9662
prod-exp_binary64_9675 cbrt-unprod_binary64_9659
associate-*l*_binary64_9567 div-exp_binary64_9677 cbrt-undiv_binary64_9660
distribute-lft-out--_binary64_9578 difference-of-squares_binary64_9595 pow1_binary64_9687 unswap-sqr_binary64_9594
add-log-exp_binary64_9665
pow1/3_binary64_9708
div-inv_binary64_9623
associate-*l/_binary64_9569 frac-times_binary64_9636 pow-prod-down_binary64_9697 *-commutative_binary64_9557 associate-*r/_binary64_9568
Counts
4 → 104
Calls

4 calls:

38.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
2.0ms
(cbrt.f64 a)
2.0ms
(cbrt.f64 a)
2.0ms
(cbrt.f64 a)

series735.0ms (9.4%)

Counts
4 → 12
Calls

4 calls:

233.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
175.0ms
(cbrt.f64 a)
174.0ms
(cbrt.f64 a)
152.0ms
(cbrt.f64 a)

simplify137.0ms (1.7%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
049331660
149331660

prune182.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh235
Picked101
Done011
Total1185123

Merged error: 0b

Counts
123 → 5
Compiler

Compiled 2318 to 692 computations (70.1% saved)

localize19.0ms (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))))
5.9b
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

rewrite84.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64_9648
56×times-frac_binary64_9632
53×cancel-sign-sub-inv_binary64_9592
48×*-un-lft-identity_binary64_9626
40×add-cube-cbrt_binary64_9661
28×associate--r+_binary64_9562 distribute-rgt-in_binary64_9576 distribute-lft-in_binary64_9575
13×associate-*l*_binary64_9567
12×associate-*r*_binary64_9566
add-exp-log_binary64_9664 div-inv_binary64_9623 add-cbrt-cube_binary64_9662
sub-neg_binary64_9619
add-log-exp_binary64_9665 frac-times_binary64_9636 distribute-lft-out--_binary64_9578 difference-of-squares_binary64_9595 pow1_binary64_9687 associate-*r/_binary64_9568
flip3--_binary64_9630 flip--_binary64_9601
sub-div_binary64_9633 prod-exp_binary64_9675 frac-sub_binary64_9635 unswap-sqr_binary64_9594 cbrt-unprod_binary64_9659
associate-*l/_binary64_9569 diff-log_binary64_9718 div-exp_binary64_9677 pow-prod-down_binary64_9697 *-commutative_binary64_9557 cbrt-undiv_binary64_9660 distribute-rgt-out--_binary64_9580
Counts
2 → 117
Calls

2 calls:

47.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
14.0ms
(-.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

series216.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

112.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
105.0ms
(-.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

simplify130.0ms (1.7%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
051602142

prune207.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh033
Picked011
Done011
Total1235128

Merged error: 0b

Counts
128 → 5
Compiler

Compiled 2446 to 1277 computations (47.8% saved)

localize15.0ms (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))
4.8b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite126.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64_9632
179×add-sqr-sqrt_binary64_9648
172×*-un-lft-identity_binary64_9626
120×add-cube-cbrt_binary64_9661
68×cancel-sign-sub-inv_binary64_9592
28×difference-of-squares_binary64_9595
26×distribute-lft-out--_binary64_9578 associate-/r*_binary64_9570
18×associate-/r/_binary64_9572
10×add-exp-log_binary64_9664 div-inv_binary64_9623 add-cbrt-cube_binary64_9662
flip3--_binary64_9630 flip--_binary64_9601
associate-/l*_binary64_9571
add-log-exp_binary64_9665
div-exp_binary64_9677 cbrt-undiv_binary64_9660
pow1_binary64_9687
frac-2neg_binary64_9637 clear-num_binary64_9625
sub-neg_binary64_9619 diff-log_binary64_9718
Counts
3 → 222
Calls

3 calls:

52.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
21.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
11.0ms
(/.f64 a (-.f64 z t))

series233.0ms (3%)

Counts
3 → 9
Calls

3 calls:

99.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
84.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
49.0ms
(/.f64 a (-.f64 z t))

simplify168.0ms (2.1%)

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
050244825

prune268.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2310231
Fresh022
Picked011
Done022
Total2315236

Merged error: 0b

Counts
236 → 5
Compiler

Compiled 4008 to 663 computations (83.5% saved)

regimes817.0ms (10.4%)

Compiler

Compiled 2428 to 2108 computations (13.2% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify17.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
032169
132169

end0.0ms (0%)

sample1.9s (24%)

Algorithm
intervals
Results
533.0ms8000×body128valid
165.0ms2553×body128invalid
Compiler

Compiled 315 to 250 computations (20.6% saved)

Profiling

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