Details

analyze428.0ms (7.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	36×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify448.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (350.0ms)

Iter	Nodes	Cost
0	5659	13

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

8.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

8.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.0b	(*.f64 y (-.f64 z x))
0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
8.3b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_20560`
19×	`*-un-lft-identity_binary64_20538`
17×	`add-cube-cbrt_binary64_20573`
12×	`cancel-sign-sub-inv_binary64_20504`
9×	`times-frac_binary64_20544`
8×	`distribute-rgt-in_binary64_20488` `distribute-lft-in_binary64_20487` `associate-+r+_binary64_20470`
7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
5×	`pow1_binary64_20599` `associate-r_binary64_20478` `add-log-exp_binary64_20577`
4×	`sub-neg_binary64_20531`
3×	`associate-/l_binary64_20483` `associate-/r_binary64_20482` `associate-l_binary64_20479`
2×	`associate-*r/_binary64_20480` `associate-/l/_binary64_20485` `flip3-+_binary64_20541` `flip-+_binary64_20512`
1×	`distribute-lft-out--_binary64_20490` `clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `pow-prod-down_binary64_20609` `flip3--_binary64_20542` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `flip--_binary64_20513` `*-commutative_binary64_20469` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `div-inv_binary64_20535` `div-exp_binary64_20589` `difference-of-squares_binary64_20507` `cbrt-undiv_binary64_20572`

Counts

3 → 78

Calls

6 calls:

7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
0.0ms	(*.f64 y (-.f64 z x))
0.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series427.0ms (7.9%)

Counts

3 → 51

Calls

3 calls:

203.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
127.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
97.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 732 to 572 computations (21.9% saved)

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5018	1554

prune103.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Error

0.0b

Counts

130 → 5

Compiler

Compiled 1687 to 358 computations (78.8% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(*.f64 (/.f64 x z) (-.f64 1 y))
0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
2.5b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_20560`
17×	`*-un-lft-identity_binary64_20538`
14×	`add-cube-cbrt_binary64_20573`
13×	`associate-l_binary64_20479`
12×	`cancel-sign-sub-inv_binary64_20504`
10×	`times-frac_binary64_20544`
8×	`distribute-rgt-in_binary64_20488` `distribute-lft-in_binary64_20487` `associate-+r+_binary64_20470`
7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
6×	`associate-r_binary64_20478`
4×	`sub-neg_binary64_20531` `pow1_binary64_20599` `add-log-exp_binary64_20577`
2×	`cbrt-unprod_binary64_20571` `associate-*r/_binary64_20480` `flip3--_binary64_20542` `flip--_binary64_20513` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `difference-of-squares_binary64_20507` `frac-times_binary64_20548`
1×	`distribute-lft-out--_binary64_20490` `associate-l/_binary64_20481` `pow-prod-down_binary64_20609` `sum-log_binary64_20629` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `-commutative_binary64_20469` `div-inv_binary64_20535` `div-exp_binary64_20589` `flip-+_binary64_20512` `cbrt-undiv_binary64_20572`

Counts

2 → 66

Calls

4 calls:

11.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))
5.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
0.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
0.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

series327.0ms (6%)

Counts

2 → 30

Calls

2 calls:

189.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
138.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 448 to 362 computations (19.2% saved)

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune76.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1251 to 542 computations (56.7% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

3.6b	(*.f64 x (/.f64 (-.f64 1 y) z))
0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
0.0b	(/.f64 (-.f64 1 y) z)
0.0b	(/.f64 (-.f64 1 y) z)
0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
3.6b	(*.f64 x (/.f64 (-.f64 1 y) z))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64_20560`
46×	`*-un-lft-identity_binary64_20538`
37×	`times-frac_binary64_20544`
25×	`add-cube-cbrt_binary64_20573`
22×	`associate-r_binary64_20478`
14×	`difference-of-squares_binary64_20507`
10×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
7×	`distribute-lft-out--_binary64_20490`
6×	`associate-/l*_binary64_20483`
5×	`pow1_binary64_20599` `add-log-exp_binary64_20577`
3×	`associate-/r_binary64_20482` `associate-l*_binary64_20479`
2×	`cbrt-unprod_binary64_20571` `associate-/l/_binary64_20485` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `div-inv_binary64_20535` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
1×	`clear-num_binary64_20537` `associate-r/_binary64_20480` `pow-prod-down_binary64_20609` `div-sub_binary64_20543` `flip3--_binary64_20542` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `flip--_binary64_20513` `flip3-+_binary64_20541` `-commutative_binary64_20469` `flip-+_binary64_20512`

Counts

3 → 94

Calls

6 calls:

12.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
10.0ms	(/.f64 (-.f64 1 y) z)
4.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
0.0ms	(/.f64 (-.f64 1 y) z)
0.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))

series387.0ms (7.1%)

Counts

3 → 39

Calls

3 calls:

182.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
138.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
66.0ms	(/.f64 (-.f64 1 y) z)

Compiler

Compiled 597 to 491 computations (17.8% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4950	1687
1	4950	1687

prune94.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	133	4	137

Error

Counts

137 → 4

Compiler

Compiled 1804 to 1017 computations (43.6% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

10.6b	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))
3.9b	(.f64 x (-.f64 1 (.f64 y y)))
0.0b	(*.f64 z (+.f64 1 y))
0.0b	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))
0.0b	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))
0.0b	(*.f64 z (+.f64 1 y))
3.9b	(.f64 x (-.f64 1 (.f64 y y)))
10.6b	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
13×	`*-un-lft-identity_binary64_20538` `add-sqr-sqrt_binary64_20560`
9×	`associate-r_binary64_20478`
8×	`associate-*r/_binary64_20480` `pow1_binary64_20599` `add-cube-cbrt_binary64_20573`
6×	`cbrt-unprod_binary64_20571` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `associate-l_binary64_20479`
4×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
3×	`distribute-rgt-in_binary64_20488` `distribute-lft-in_binary64_20487` `flip3-+_binary64_20541` `flip-+_binary64_20512`
2×	`cancel-sign-sub-inv_binary64_20504` `associate-/l/_binary64_20485` `sub-neg_binary64_20531` `pow-prod-down_binary64_20609` `associate-/r/_binary64_20484` `flip3--_binary64_20542` `flip--_binary64_20513` `*-commutative_binary64_20469` `unswap-sqr_binary64_20506` `distribute-lft-out_binary64_20489` `difference-of-squares_binary64_20507`
1×	`clear-num_binary64_20537` `associate-/l_binary64_20483` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `associate-/r_binary64_20482` `div-inv_binary64_20535` `times-frac_binary64_20544`

Counts

4 → 86

Calls

8 calls:

14.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))
7.0ms	(*.f64 z (+.f64 1 y))
7.0ms	(.f64 x (-.f64 1 (.f64 y y)))
6.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))
0.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))

series764.0ms (14.1%)

Counts

4 → 48

Calls

4 calls:

382.0ms	(+.f64 y (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y))))
240.0ms	(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (*.f64 z (+.f64 1 y)))
87.0ms	(.f64 x (-.f64 1 (.f64 y y)))
54.0ms	(*.f64 z (+.f64 1 y))

Compiler

Compiled 1102 to 861 computations (21.9% saved)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5110	1959

prune110.0ms (2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	134	4	138

Error

Counts

138 → 4

Compiler

Compiled 2348 to 1287 computations (45.2% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	1489	742
1	1489	742

regimes226.0ms (4.2%)

Compiler: Compiled 2079 to 1346 computations (35.3% saved)

bsearch0.0ms (0%)

regimes65.0ms (1.2%)

Compiler: Compiled 147 to 186 computations (-26.5% saved)

bsearch35.0ms (0.6%)

Steps

Iters	Range		Point
10	5.088643673523172e-05	87298090201.86865	1.0230567903020182
7	-88591017432.01973	-4133359341.0019054	-4169970779.2587366

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes76.0ms (1.4%)

Compiler: Compiled 105 to 147 computations (-40% saved)

bsearch62.0ms (1.1%)

Steps

Iters	Range		Point
5	5.529529671936187e+131	1.6317868749910904e+132	7.314508261839512e+131
10	5.088643673523172e-05	87298090201.86865	1.0230567903020182
7	-88591017432.01973	-4133359341.0019054	-4169970779.2587366
8	-8.235107184011076e+129	-1.1104528491372426e+126	-3.760100212790515e+129

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.7%)

Compiler: Compiled 63 to 108 computations (-71.4% saved)

bsearch0.0ms (0%)

regimes88.0ms (1.6%)

Compiler: Compiled 27 to 75 computations (-177.8% saved)

bsearch37.0ms (0.7%)

Steps

Iters	Range		Point
10	5.088643673523172e-05	87298090201.86865	5.164047881899096e-05
9	-3.8085268537238186e-105	-4.136015741832241e-113	-3.3623527802025365e-107

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.5%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.4%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.4%)

Accuracy

Total 0.0b remaining (93.8%)

Threshold costs 0.0b (93.8%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 98 to 67 computations (31.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	93	116
1	93	116

end0.0ms (0%)

sample1.1s (19.9%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
37.0ms	1093×	body	128	invalid

Compiler

Compiled 592 to 401 computations (32.3% saved)

Pareto

0.5537496676316437

Details

analyze428.0ms (7.9%)

sample18.0ms (0.3%)

simplify448.0ms (8.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite24.0ms (0.4%)

series427.0ms (7.9%)

simplify57.0ms (1.1%)

prune103.0ms (1.9%)

localize6.0ms (0.1%)

rewrite21.0ms (0.4%)

series327.0ms (6%)

simplify60.0ms (1.1%)

prune76.0ms (1.4%)

localize7.0ms (0.1%)

rewrite34.0ms (0.6%)

series387.0ms (7.1%)

simplify81.0ms (1.5%)

prune94.0ms (1.7%)

localize10.0ms (0.2%)

rewrite40.0ms (0.7%)

series764.0ms (14.1%)

simplify52.0ms (1%)

prune110.0ms (2%)

simplify54.0ms (1%)

regimes226.0ms (4.2%)

bsearch0.0ms (0%)

regimes65.0ms (1.2%)

bsearch35.0ms (0.6%)

regimes76.0ms (1.4%)

bsearch62.0ms (1.1%)

regimes37.0ms (0.7%)

bsearch0.0ms (0%)

regimes88.0ms (1.6%)

bsearch37.0ms (0.7%)

regimes29.0ms (0.5%)

bsearch0.0ms (0%)

regimes24.0ms (0.4%)

bsearch0.0ms (0%)

regimes24.0ms (0.4%)

bsearch5.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (19.9%)

Profiling