Details

analyze828.0ms (15.3%)

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	74×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify209.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 1.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
5.0b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_15263`
13×	`associate-l_binary64_15185`
12×	`*-un-lft-identity_binary64_15242`
10×	`times-frac_binary64_15248` `add-cube-cbrt_binary64_15274`
7×	`add-exp-log_binary64_15277` `add-cbrt-cube_binary64_15275`
5×	`associate-r_binary64_15184`
4×	`sub-neg_binary64_15235` `pow1_binary64_15300` `add-log-exp_binary64_15278`
2×	`distribute-rgt-in_binary64_15194` `associate-+l+_binary64_15177` `flip3--_binary64_15246` `associate-*r/_binary64_15186` `cbrt-unprod_binary64_15272` `unswap-sqr_binary64_15210` `flip--_binary64_15217` `frac-times_binary64_15252` `distribute-lft-in_binary64_15193` `prod-exp_binary64_15288`
1×	`-commutative_binary64_15175` `cbrt-undiv_binary64_15273` `div-inv_binary64_15239` `distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211` `flip3-+_binary64_15245` `flip-+_binary64_15216` `div-exp_binary64_15290` `pow-prod-down_binary64_15310` `associate-l/_binary64_15187` `sum-log_binary64_15330` `+-commutative_binary64_15174`

Counts

2 → 53

Calls

2 calls:

12.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
10.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series212.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

135.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
77.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5087	866

prune56.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

Compiler

Compiled 986 to 275 computations (72.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.0b	(*.f64 (/.f64 x y) (-.f64 z t))
7.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_15263`
15×	`cbrt-div_binary64_15271`
14×	`*-un-lft-identity_binary64_15242`
13×	`associate-l_binary64_15185`
12×	`add-cube-cbrt_binary64_15274`
10×	`times-frac_binary64_15248`
9×	`add-exp-log_binary64_15277` `add-cbrt-cube_binary64_15275`
8×	`flip3--_binary64_15246` `associate-*r/_binary64_15186` `flip--_binary64_15217` `frac-times_binary64_15252`
6×	`pow1_binary64_15300`
5×	`associate-r_binary64_15184`
4×	`associate-*l/_binary64_15187` `add-log-exp_binary64_15278`
3×	`pow1/3_binary64_15321` `cbrt-prod_binary64_15270`
2×	`sub-neg_binary64_15235` `cbrt-unprod_binary64_15272` `unswap-sqr_binary64_15210` `prod-exp_binary64_15288`
1×	`distribute-rgt-in_binary64_15194` `*-commutative_binary64_15175` `cbrt-undiv_binary64_15273` `div-inv_binary64_15239` `distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211` `div-exp_binary64_15290` `pow-prod-down_binary64_15310` `distribute-lft-in_binary64_15193`

Counts

4 → 82

Calls

4 calls:

11.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
10.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

series988.0ms (18.3%)

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
289.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
284.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
119.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4968	1460
1	4968	1460

prune92.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

Compiler

Compiled 3248 to 565 computations (82.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
4.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite47.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_15277`
35×	`add-cbrt-cube_binary64_15275`
33×	`prod-exp_binary64_15288`
32×	`add-sqr-sqrt_binary64_15263`
24×	`*-un-lft-identity_binary64_15242`
23×	`times-frac_binary64_15248` `associate-r_binary64_15184`
22×	`add-cube-cbrt_binary64_15274`
20×	`cbrt-unprod_binary64_15272`
18×	`div-exp_binary64_15290`
16×	`cbrt-prod_binary64_15270`
12×	`associate-l_binary64_15185`
11×	`pow1_binary64_15300` `frac-times_binary64_15252`
10×	`cbrt-undiv_binary64_15273`
8×	`associate-*r/_binary64_15186`
7×	`associate-*l/_binary64_15187`
6×	`flip3--_binary64_15246` `1-exp_binary64_15283` `flip--_binary64_15217`
4×	`pow-prod-down_binary64_15310` `add-log-exp_binary64_15278`
3×	`unswap-sqr_binary64_15210`
2×	`pow1/3_binary64_15321` `*-commutative_binary64_15175` `div-inv_binary64_15239`
1×	`distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211`

Counts

4 → 123

Calls

4 calls:

17.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
13.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series690.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

200.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
191.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
150.0ms	(cbrt.f64 x)
148.0ms	(cbrt.f64 x)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4952	1735
1	4952	1735

prune108.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	135	7	142

Merged error: 0.0b

Counts

142 → 7

Compiler

Compiled 2716 to 826 computations (69.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.7b	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
4.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

rewrite53.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-exp-log_binary64_15277`
46×	`prod-exp_binary64_15288`
35×	`add-cbrt-cube_binary64_15275`
32×	`add-sqr-sqrt_binary64_15263`
24×	`*-un-lft-identity_binary64_15242`
23×	`times-frac_binary64_15248` `associate-r_binary64_15184`
22×	`add-cube-cbrt_binary64_15274`
20×	`cbrt-unprod_binary64_15272` `div-exp_binary64_15290`
16×	`cbrt-prod_binary64_15270`
12×	`associate-l_binary64_15185`
11×	`pow1_binary64_15300` `frac-times_binary64_15252`
10×	`cbrt-undiv_binary64_15273`
8×	`associate-*r/_binary64_15186`
7×	`associate-*l/_binary64_15187`
6×	`rec-exp_binary64_15289` `flip3--_binary64_15246` `1-exp_binary64_15283` `flip--_binary64_15217`
4×	`pow-prod-down_binary64_15310` `add-log-exp_binary64_15278`
3×	`unswap-sqr_binary64_15210`
2×	`pow1/3_binary64_15321` `*-commutative_binary64_15175` `div-inv_binary64_15239`
1×	`distribute-lft-out--_binary64_15196` `difference-of-squares_binary64_15211`

Counts

4 → 129

Calls

4 calls:

23.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))
14.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series735.0ms (13.6%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))
218.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
146.0ms	(cbrt.f64 y)
139.0ms	(cbrt.f64 y)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5006	1860

prune108.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	141	7	148

Merged error: 0.0b

Counts

148 → 7

Compiler

Compiled 2766 to 810 computations (70.7% saved)

regimes95.0ms (1.8%)

Compiler: Compiled 692 to 508 computations (26.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample785.0ms (14.5%)

Algorithm

1×

intervals

Results

282.0ms	8000×	body	128	valid
74.0ms	2147×	body	128	invalid

Compiler

Compiled 164 to 113 computations (31.1% saved)

Details

analyze828.0ms (15.3%)

sample22.0ms (0.4%)

simplify209.0ms (3.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite26.0ms (0.5%)

series212.0ms (3.9%)

simplify61.0ms (1.1%)

prune56.0ms (1%)

localize11.0ms (0.2%)

rewrite44.0ms (0.8%)

series988.0ms (18.3%)

simplify68.0ms (1.3%)

prune92.0ms (1.7%)

localize15.0ms (0.3%)

rewrite47.0ms (0.9%)

series690.0ms (12.8%)

simplify70.0ms (1.3%)

prune108.0ms (2%)

localize12.0ms (0.2%)

rewrite53.0ms (1%)

series735.0ms (13.6%)

simplify53.0ms (1%)

prune108.0ms (2%)

regimes95.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample785.0ms (14.5%)

Profiling