Details

analyze756.0ms (14.7%)

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify179.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

Merged error: 1.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_15104`
13×	`associate-r_binary64_15022`
12×	`*-un-lft-identity_binary64_15082`
10×	`times-frac_binary64_15088` `add-cube-cbrt_binary64_15117`
7×	`add-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120`
5×	`associate-l_binary64_15023`
4×	`pow1_binary64_15143` `add-log-exp_binary64_15121`
2×	`unswap-sqr_binary64_15050` `frac-times_binary64_15092` `prod-exp_binary64_15131` `flip3--_binary64_15086` `cbrt-unprod_binary64_15115` `flip--_binary64_15057` `associate-*l/_binary64_15025`
1×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133` `sum-log_binary64_15173` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `flip-+_binary64_15056` `cbrt-undiv_binary64_15116` `+-commutative_binary64_15012` `div-inv_binary64_15079` `-commutative_binary64_15013` `associate-r/_binary64_15024` `flip3-+_binary64_15085`

Counts

2 → 49

Calls

2 calls:

12.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
7.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series122.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

63.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
58.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5403	832

prune62.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

Compiler

Compiled 934 to 269 computations (71.2% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.5b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_15120`
14×	`add-cbrt-cube_binary64_15118` `add-sqr-sqrt_binary64_15104`
11×	`*-un-lft-identity_binary64_15082`
9×	`cbrt-prod_binary64_15113` `prod-exp_binary64_15131` `add-cube-cbrt_binary64_15117` `cbrt-unprod_binary64_15115`
6×	`pow1_binary64_15143`
5×	`associate-l_binary64_15023` `associate-r_binary64_15022`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `add-log-exp_binary64_15121`
3×	`pow1/3_binary64_15164`
2×	`unswap-sqr_binary64_15050` `times-frac_binary64_15088` `frac-times_binary64_15092` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-*l/_binary64_15025`
1×	`pow-prod-down_binary64_15153` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `div-inv_binary64_15079` `-commutative_binary64_15013` `associate-r/_binary64_15024`

Counts

4 → 69

Calls

4 calls:

31.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
2.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

series476.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
105.0ms	(cbrt.f64 t)
103.0ms	(cbrt.f64 t)
84.0ms	(cbrt.f64 t)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5317	1111

prune87.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Merged error: 0b

Counts

89 → 8

Compiler

Compiled 2229 to 607 computations (72.8% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 t))
0.6b	(cbrt.f64 (cbrt.f64 t))
0.6b	(cbrt.f64 (cbrt.f64 t))
1.5b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-prod_binary64_15113`
22×	`add-exp-log_binary64_15120`
17×	`add-sqr-sqrt_binary64_15104`
14×	`add-cbrt-cube_binary64_15118` `*-un-lft-identity_binary64_15082`
12×	`add-cube-cbrt_binary64_15117`
9×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
6×	`pow1_binary64_15143`
5×	`associate-l_binary64_15023` `associate-r_binary64_15022`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `add-log-exp_binary64_15121`
3×	`pow1/3_binary64_15164`
2×	`unswap-sqr_binary64_15050` `times-frac_binary64_15088` `frac-times_binary64_15092` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-*l/_binary64_15025`
1×	`pow-prod-down_binary64_15153` `distribute-lft-out--_binary64_15034` `difference-of-squares_binary64_15051` `div-inv_binary64_15079` `-commutative_binary64_15013` `associate-r/_binary64_15024`

Counts

4 → 78

Calls

4 calls:

16.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
2.0ms	(cbrt.f64 (cbrt.f64 t))
2.0ms	(cbrt.f64 (cbrt.f64 t))
2.0ms	(cbrt.f64 (cbrt.f64 t))

series607.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
158.0ms	(cbrt.f64 (cbrt.f64 t))
141.0ms	(cbrt.f64 (cbrt.f64 t))
123.0ms	(cbrt.f64 (cbrt.f64 t))

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5091	1420

prune105.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	90	8	98

Merged error: 0b

Counts

98 → 8

Compiler

Compiled 3331 to 619 computations (81.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
7.1b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_15120`
22×	`associate-r_binary64_15022`
20×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082` `add-sqr-sqrt_binary64_15104`
18×	`cbrt-prod_binary64_15113` `times-frac_binary64_15088` `add-cbrt-cube_binary64_15118`
13×	`pow1_binary64_15143`
12×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
6×	`pow-prod-down_binary64_15153` `associate-*l/_binary64_15025`
4×	`add-log-exp_binary64_15121`
3×	`div-exp_binary64_15133` `pow1/3_binary64_15164` `cbrt-undiv_binary64_15116`
2×	`frac-times_binary64_15092` `flip3--_binary64_15086` `flip--_binary64_15057`
1×	`div-inv_binary64_15079` `associate-l_binary64_15023` `-commutative_binary64_15013` `associate-r/_binary64_15024`

Counts

4 → 84

Calls

4 calls:

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

series476.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
128.0ms	(cbrt.f64 z)
104.0ms	(cbrt.f64 z)
99.0ms	(cbrt.f64 z)

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5135	1116

prune110.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	96	8	104

Merged error: 0b

Counts

104 → 8

Compiler

Compiled 1710 to 484 computations (71.7% saved)

regimes284.0ms (5.5%)

Compiler: Compiled 2381 to 1585 computations (33.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.4s (27.1%)

Algorithm

1×

intervals

Results

570.0ms	8000×	body	128	valid
82.0ms	2042×	body	128	invalid

Compiler

Compiled 448 to 285 computations (36.4% saved)

Details

analyze756.0ms (14.7%)

sample20.0ms (0.4%)

simplify179.0ms (3.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite26.0ms (0.5%)

series122.0ms (2.4%)

simplify88.0ms (1.7%)

prune62.0ms (1.2%)

localize26.0ms (0.5%)

rewrite50.0ms (1%)

series476.0ms (9.2%)

simplify52.0ms (1%)

prune87.0ms (1.7%)

localize20.0ms (0.4%)

rewrite36.0ms (0.7%)

series607.0ms (11.8%)

simplify80.0ms (1.5%)

prune105.0ms (2%)

localize15.0ms (0.3%)

rewrite28.0ms (0.5%)

series476.0ms (9.2%)

simplify44.0ms (0.8%)

prune110.0ms (2.1%)

regimes284.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (27.1%)

Profiling