Details

analyze899.0ms (16.5%)

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	82×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	680	13
1	680	13

prune3.0ms (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: 8.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.7b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

13.0ms	(*.f64 y (-.f64 z t))
9.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series309.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
118.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
67.0ms	(*.f64 y (-.f64 z t))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4962	909
1	4962	909

prune131.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	8	75

Merged error: 0.0b

Counts

75 → 8

Compiler

Compiled 2133 to 1098 computations (48.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
3.8b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
34×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

25.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series719.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

257.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
163.0ms	(cbrt.f64 a)
162.0ms	(cbrt.f64 a)
136.0ms	(cbrt.f64 a)

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4948	1665
1	4948	1665

prune113.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

Compiler

Compiled 2557 to 903 computations (64.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))
5.4b	(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
52×	`cancel-sign-sub-inv_binary64`
48×	`*-un-lft-identity_binary64`
40×	`add-cube-cbrt_binary64`
28×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
13×	`associate-l_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 116

Calls

2 calls:

30.0ms	(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
9.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

series251.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

136.0ms	(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
115.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5213	2129

prune149.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Merged error: 0b

Counts

128 → 7

Compiler

Compiled 2931 to 1710 computations (41.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.4b	(*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z))
7.9b	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
7.9b	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
7.9b	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))

rewrite61.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`cbrt-div_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `frac-times_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `associate-*l/_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

18.0ms	(*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z))
11.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
11.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
11.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))

series977.0ms (18%)

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
285.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
277.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z)))
123.0ms	(*.f64 (/.f64 y a) (+.f64 (/.f64 t -1) z))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5168	1727

prune156.0ms (2.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	93	7	100

Merged error: 0b

Counts

100 → 7

Compiler

Compiled 3879 to 2139 computations (44.9% saved)

regimes215.0ms (4%)

Compiler: Compiled 1036 to 966 computations (6.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	63
1	34	63

end0.0ms (0%)

sample928.0ms (17.1%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
99.0ms	2519×	body	128	invalid

Compiler

Compiled 194 to 145 computations (25.3% saved)

Details

analyze899.0ms (16.5%)

sample26.0ms (0.5%)

simplify54.0ms (1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite33.0ms (0.6%)

series309.0ms (5.7%)

simplify60.0ms (1.1%)

prune131.0ms (2.4%)

localize16.0ms (0.3%)

rewrite41.0ms (0.8%)

series719.0ms (13.2%)

simplify86.0ms (1.6%)

prune113.0ms (2.1%)

localize10.0ms (0.2%)

rewrite54.0ms (1%)

series251.0ms (4.6%)

simplify66.0ms (1.2%)

prune149.0ms (2.7%)

localize13.0ms (0.2%)

rewrite61.0ms (1.1%)

series977.0ms (18%)

simplify60.0ms (1.1%)

prune156.0ms (2.9%)

regimes215.0ms (4%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample928.0ms (17.1%)

Profiling