Details

analyze1.3s (17.9%)

Algorithm

1×

Search

True	Other	False	Iter
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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	32×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify360.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5681	16

prune4.0ms (0.1%)

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

Merged error: 0.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_17150`
70×	`*-un-lft-identity_binary64_17128`
51×	`times-frac_binary64_17134`
31×	`associate-r_binary64_17068`
26×	`add-cube-cbrt_binary64_17163`
22×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
9×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
5×	`associate-/l_binary64_17073` `associate-/r_binary64_17072`
4×	`associate-/r/_binary64_17074` `pow1_binary64_17189`
3×	`flip--_binary64_17103` `flip3--_binary64_17132` `associate-l_binary64_17069`
2×	`cbrt-undiv_binary64_17162` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `add-log-exp_binary64_17167` `unswap-sqr_binary64_17096` `associate-/l/_binary64_17075` `div-exp_binary64_17179` `div-inv_binary64_17125`
1×	`associate-r/_binary64_17070` `clear-num_binary64_17127` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `-commutative_binary64_17059` `pow-prod-down_binary64_17199`

Counts

2 → 102

Calls

2 calls:

19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
13.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series357.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

209.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
148.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5286	1767

prune120.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

Compiler

Compiled 2075 to 465 computations (77.6% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 z (-.f64 a t))
0.0b	(/.f64 t (-.f64 a t))
2.2b	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

rewrite129.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`*-un-lft-identity_binary64_17128`
91×	`add-sqr-sqrt_binary64_17150`
78×	`times-frac_binary64_17134`
45×	`add-cube-cbrt_binary64_17163`
42×	`cancel-sign-sub-inv_binary64_17094`
26×	`distribute-lft-out--_binary64_17080`
22×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
20×	`difference-of-squares_binary64_17097`
18×	`associate-r_binary64_17068`
12×	`associate-/r/_binary64_17074`
10×	`associate-/r*_binary64_17072`
9×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
7×	`flip--_binary64_17103` `flip3--_binary64_17132`
6×	`associate-/l*_binary64_17073` `div-inv_binary64_17125`
5×	`pow1_binary64_17189`
4×	`associate-*r/_binary64_17070`
3×	`distribute-rgt-out--_binary64_17082` `add-log-exp_binary64_17167` `associate-l_binary64_17069`
2×	`clear-num_binary64_17127` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `sub-neg_binary64_17121` `div-exp_binary64_17179`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `frac-sub_binary64_17137` `pow-prod-down_binary64_17199` `sub-div_binary64_17135`

Counts

3 → 155

Calls

3 calls:

80.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
11.0ms	(/.f64 t (-.f64 a t))
10.0ms	(/.f64 z (-.f64 a t))

series492.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

328.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
101.0ms	(/.f64 z (-.f64 a t))
62.0ms	(/.f64 t (-.f64 a t))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5681	2832

prune180.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	165	5	170

Merged error: 0b

Counts

170 → 5

Compiler

Compiled 3515 to 641 computations (81.8% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
9.3b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite62.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_17150`
40×	`*-un-lft-identity_binary64_17128`
31×	`times-frac_binary64_17134`
24×	`add-cube-cbrt_binary64_17163`
21×	`associate-l_binary64_17069`
9×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
8×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
6×	`cancel-sign-sub-inv_binary64_17094`
5×	`associate-r_binary64_17068` `associate-/r*_binary64_17072`
4×	`distribute-rgt-in_binary64_17078` `associate-/r/_binary64_17074` `flip--_binary64_17103` `pow1_binary64_17189` `flip3--_binary64_17132` `distribute-lft-in_binary64_17077`
3×	`associate-/l*_binary64_17073`
2×	`associate-*r/_binary64_17070` `cbrt-undiv_binary64_17162` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `frac-times_binary64_17138` `add-log-exp_binary64_17167` `unswap-sqr_binary64_17096` `sub-neg_binary64_17121` `div-exp_binary64_17179` `div-inv_binary64_17125`
1×	`clear-num_binary64_17127` `associate-l/_binary64_17071` `frac-2neg_binary64_17139` `-commutative_binary64_17059` `pow-prod-down_binary64_17199`

Counts

2 → 91

Calls

2 calls:

32.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
12.0ms	(/.f64 y (-.f64 a t))

series501.0ms (6.8%)

Counts

2 → 6

Calls

2 calls:

402.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
99.0ms	(/.f64 y (-.f64 a t))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5485	1470

prune81.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0b

Counts

102 → 5

Compiler

Compiled 1749 to 416 computations (76.2% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
5.6b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))

rewrite94.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
46×	`associate-r_binary64_17068`
40×	`times-frac_binary64_17134` `cbrt-prod_binary64_17159`
30×	`cbrt-div_binary64_17160`
26×	`add-cube-cbrt_binary64_17163`
25×	`add-exp-log_binary64_17166`
21×	`associate-*r/_binary64_17070`
18×	`add-cbrt-cube_binary64_17164`
16×	`difference-of-squares_binary64_17097` `flip--_binary64_17103` `frac-times_binary64_17138` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132`
13×	`pow1_binary64_17189`
12×	`cbrt-unprod_binary64_17161` `associate-*l/_binary64_17071` `prod-exp_binary64_17177`
6×	`pow-prod-down_binary64_17199`
4×	`add-log-exp_binary64_17167`
3×	`pow1/3_binary64_17210` `cbrt-undiv_binary64_17162` `div-exp_binary64_17179`
2×	`associate-/r/_binary64_17074`
1×	`-commutative_binary64_17059` `associate-l*_binary64_17069` `div-inv_binary64_17125`

Counts

4 → 132

Calls

4 calls:

58.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))

series1.2s (16.1%)

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt.f64 (-.f64 z t))
312.0ms	(cbrt.f64 (-.f64 z t))
262.0ms	(cbrt.f64 (-.f64 z t))
252.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t)))

simplify133.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4961	3358
1	4961	3358

prune170.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	144	5	149

Merged error: 0b

Counts

149 → 5

Compiler

Compiled 4079 to 776 computations (81% saved)

regimes521.0ms (7.1%)

Compiler: Compiled 3573 to 2456 computations (31.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms (0%)

sample1.3s (17.1%)

Algorithm

1×

intervals

Results

385.0ms	8000×	body	128	valid
39.0ms	771×	body	128	invalid

Compiler

Compiled 473 to 317 computations (33% saved)

Details

analyze1.3s (17.9%)

sample24.0ms (0.3%)

simplify360.0ms (4.9%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite43.0ms (0.6%)

series357.0ms (4.9%)

simplify67.0ms (0.9%)

prune120.0ms (1.6%)

localize18.0ms (0.2%)

rewrite129.0ms (1.8%)

series492.0ms (6.7%)

simplify83.0ms (1.1%)

prune180.0ms (2.5%)

localize16.0ms (0.2%)

rewrite62.0ms (0.8%)

series501.0ms (6.8%)

simplify89.0ms (1.2%)

prune81.0ms (1.1%)

localize25.0ms (0.3%)

rewrite94.0ms (1.3%)

series1.2s (16.1%)

simplify133.0ms (1.8%)

prune170.0ms (2.3%)

regimes521.0ms (7.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (17.1%)

Profiling