Details

Time bar (total: 10.9s)

analyze1.5s (13.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04965496
14965496
066
166
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
1.1%98.6%0.3%12
1.9%97.8%0.3%13
7%92.7%0.3%14
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample25.0ms (0.2%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify96.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
0514131

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
27.2b
Counts
2 → 1
Compiler

Compiled 42 to 31 computations (26.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 x y) z)
1.1b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
2.5b
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
25.4b
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite54.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
38×*-un-lft-identity_binary64_23607
18×add-sqr-sqrt_binary64_23629
16×add-cube-cbrt_binary64_23642
15×times-frac_binary64_23613
13×distribute-lft-out_binary64_23558
11×add-log-exp_binary64_23646
10×associate-*l/_binary64_23550
8×add-cbrt-cube_binary64_23643 add-exp-log_binary64_23645
7×flip-+_binary64_23581 flip3-+_binary64_23610
6×pow1_binary64_23668
5×associate-/r*_binary64_23551
4×associate-*l*_binary64_23548 frac-add_binary64_23615
3×associate-/l*_binary64_23552 associate-*r*_binary64_23547
2×associate-/r/_binary64_23553 sum-log_binary64_23698 diff-log_binary64_23699 flip--_binary64_23582 associate-/l/_binary64_23554 flip3--_binary64_23611
1×div-sub_binary64_23612 unswap-sqr_binary64_23575 prod-exp_binary64_23656 *-commutative_binary64_23538 clear-num_binary64_23606 +-commutative_binary64_23537 cbrt-undiv_binary64_23641 div-inv_binary64_23604 frac-2neg_binary64_23618 sub-neg_binary64_23600 cbrt-unprod_binary64_23640 cancel-sign-sub-inv_binary64_23573 associate--l+_binary64_23544 div-exp_binary64_23658 pow-prod-down_binary64_23678
Counts
4 → 90
Calls

4 calls:

16.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
13.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
10.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
6.0ms
(*.f64 (+.f64 x y) z)

series766.0ms (7%)

Counts
4 → 12
Calls

4 calls:

573.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
117.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
55.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
21.0ms
(*.f64 (+.f64 x y) z)

simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
056323072

prune121.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9210102
Fresh000
Picked101
Done000
Total9310103
Error
8.5b
Counts
103 → 10
Compiler

Compiled 3384 to 557 computations (83.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (+.f64 x (+.f64 y t)))
1.1b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
2.5b
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
25.5b
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))

rewrite58.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
60×*-un-lft-identity_binary64_23607
32×times-frac_binary64_23613
31×add-sqr-sqrt_binary64_23629
24×add-cube-cbrt_binary64_23642
21×distribute-lft-out_binary64_23558 associate-*r*_binary64_23547
17×add-exp-log_binary64_23645
11×add-cbrt-cube_binary64_23643 add-log-exp_binary64_23646
10×associate-*l/_binary64_23550
7×flip-+_binary64_23581 pow1_binary64_23668 flip3-+_binary64_23610
5×associate-/r*_binary64_23551
4×associate-/r/_binary64_23553 prod-exp_binary64_23656 frac-add_binary64_23615 div-exp_binary64_23658
3×unswap-sqr_binary64_23575 associate-*l*_binary64_23548 associate-/l*_binary64_23552 flip--_binary64_23582 flip3--_binary64_23611
2×1-exp_binary64_23651 sum-log_binary64_23698 frac-times_binary64_23617 diff-log_binary64_23699 cbrt-undiv_binary64_23641 div-inv_binary64_23604 cbrt-unprod_binary64_23640 rec-exp_binary64_23657
1×pow-flip_binary64_23681 *-commutative_binary64_23538 un-div-inv_binary64_23605 clear-num_binary64_23606 +-commutative_binary64_23537 frac-2neg_binary64_23618 sub-neg_binary64_23600 cancel-sign-sub-inv_binary64_23573 associate-*r/_binary64_23549 associate--l+_binary64_23544 inv-pow_binary64_23692 pow-prod-down_binary64_23678
Counts
4 → 118
Calls

4 calls:

21.0ms
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))
10.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
7.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
7.0ms
(/.f64 1 (+.f64 x (+.f64 y t)))

series781.0ms (7.2%)

Counts
4 → 12
Calls

4 calls:

572.0ms
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 x (+.f64 y t))))
116.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
58.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
36.0ms
(/.f64 1 (+.f64 x (+.f64 y t)))

simplify90.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050033397

prune121.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh189
Picked011
Done000
Total13010140
Error
8.5b
Counts
140 → 10
Compiler

Compiled 4238 to 841 computations (80.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.6b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))) (*.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t)))))
26.2b
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))
26.2b
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))
26.2b
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))

rewrite83.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
30×cbrt-div_binary64_23639
16×add-exp-log_binary64_23645
9×flip--_binary64_23582 flip3--_binary64_23611 cbrt-prod_binary64_23638
8×associate-/r/_binary64_23553 frac-times_binary64_23617 add-cbrt-cube_binary64_23643 associate-/l/_binary64_23554
7×*-un-lft-identity_binary64_23607 add-sqr-sqrt_binary64_23629 add-cube-cbrt_binary64_23642
6×flip-+_binary64_23581 flip3-+_binary64_23610
4×pow1_binary64_23668 prod-exp_binary64_23656 cbrt-undiv_binary64_23641 add-log-exp_binary64_23646 cbrt-unprod_binary64_23640 associate-*l/_binary64_23550 associate-*r/_binary64_23549 div-exp_binary64_23658
3×pow1/3_binary64_23689
1×times-frac_binary64_23613 associate-/l*_binary64_23552 clear-num_binary64_23606 div-inv_binary64_23604 frac-2neg_binary64_23618 associate-/r*_binary64_23551
Counts
4 → 76
Calls

4 calls:

36.0ms
(/.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))) (*.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t)))))
12.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))
10.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))
9.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))

series3.2s (29.6%)

Counts
4 → 12
Calls

4 calls:

2.0s
(/.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))) (*.f64 (cbrt.f64 (+.f64 x (+.f64 y t))) (cbrt.f64 (+.f64 x (+.f64 y t)))))
398.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))
394.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))
387.0ms
(cbrt.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)))

simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050934110

prune139.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh088
Picked011
Done011
Total881098
Error
8.5b
Counts
98 → 10
Compiler

Compiled 7364 to 618 computations (91.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b
(+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))
2.5b
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))
25.4b
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (+.f64 x (+.f64 y t)))
36.3b
(/.f64 (*.f64 (+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (+.f64 x (+.f64 y t)))) (+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)))

rewrite87.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
36×*-un-lft-identity_binary64_23607
18×times-frac_binary64_23613
16×add-sqr-sqrt_binary64_23629 add-cube-cbrt_binary64_23642
15×add-cbrt-cube_binary64_23643 add-exp-log_binary64_23645
14×add-log-exp_binary64_23646
12×distribute-lft-out_binary64_23558
8×associate-/r*_binary64_23551
7×associate-/l/_binary64_23554
5×flip-+_binary64_23581 flip3-+_binary64_23610 cbrt-undiv_binary64_23641 div-exp_binary64_23658
4×associate-/r/_binary64_23553 sum-log_binary64_23698 pow1_binary64_23668 associate-/l*_binary64_23552
2×frac-times_binary64_23617 diff-log_binary64_23699 flip--_binary64_23582 prod-exp_binary64_23656 flip3--_binary64_23611 clear-num_binary64_23606 div-inv_binary64_23604 frac-2neg_binary64_23618 cbrt-unprod_binary64_23640 associate-*l/_binary64_23550
1×div-sub_binary64_23612 associate-+l+_binary64_23540 +-commutative_binary64_23537 sub-neg_binary64_23600 cancel-sign-sub-inv_binary64_23573 associate-*r/_binary64_23549 associate--l+_binary64_23544
Counts
4 → 97
Calls

4 calls:

31.0ms
(/.f64 (*.f64 (+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (+.f64 x (+.f64 y t)))) (+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)))
15.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (+.f64 x (+.f64 y t)))
14.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))
10.0ms
(+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))

series1.3s (12.2%)

Counts
4 → 12
Calls

4 calls:

565.0ms
(/.f64 (*.f64 (+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (+.f64 x (+.f64 y t)))) (+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)))
554.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b)) (+.f64 x (+.f64 y t)))
102.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))
102.0ms
(+.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 y t) a)) (*.f64 y b))

simplify88.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
073404351

prune115.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh077
Picked011
Done022
Total10910119
Error
8.5b
Counts
119 → 10
Compiler

Compiled 6437 to 394 computations (93.9% saved)

regimes742.0ms (6.8%)

Accuracy

Total 9.5b remaining (52.5%)

Threshold costs 0b (0%)

Compiler

Compiled 6711 to 3681 computations (45.1% saved)

bsearch2.0ms (0%)

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075114
175114

end0.0ms (0%)

sample1.2s (11.3%)

Algorithm
1×intervals
Results
430.0ms7999×body128valid
0.0ms1×body512valid
Compiler

Compiled 1131 to 587 computations (48.1% saved)

Profiling

Loading profile data...