Details

analyze659.0ms (14%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify211.0ms (4.5%)

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

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: 7.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.5b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_8839` `add-sqr-sqrt_binary64_8860`
10×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
7×	`add-cube-cbrt_binary64_8871`
5×	`add-log-exp_binary64_8875` `pow1_binary64_8897` `associate-r_binary64_8781`
4×	`associate-*r/_binary64_8783`
3×	`associate-l_binary64_8782` `associate-/r*_binary64_8785` `times-frac_binary64_8845`
2×	`flip3--_binary64_8843` `prod-exp_binary64_8885` `div-exp_binary64_8887` `flip--_binary64_8814` `sub-neg_binary64_8832` `cbrt-unprod_binary64_8869` `associate-/l/_binary64_8788` `cbrt-undiv_binary64_8870`
1×	`pow-prod-down_binary64_8907` `distribute-lft-out_binary64_8792` `unswap-sqr_binary64_8807` `div-inv_binary64_8836` `flip3-+_binary64_8842` `distribute-lft-in_binary64_8790` `sum-log_binary64_8927` `frac-2neg_binary64_8850` `flip-+_binary64_8813` `distribute-lft-out--_binary64_8793` `distribute-rgt-in_binary64_8791` `clear-num_binary64_8838` `-commutative_binary64_8772` `+-commutative_binary64_8771` `associate-/l_binary64_8786` `difference-of-squares_binary64_8808`

Counts

3 → 59

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series261.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

115.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
82.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
64.0ms	(*.f64 y (-.f64 z x))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4987	847
1	4987	847

prune57.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

Compiler

Compiled 1013 to 295 computations (70.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
5.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_8860`
40×	`times-frac_binary64_8845`
38×	`*-un-lft-identity_binary64_8839`
34×	`associate-r_binary64_8781`
26×	`cbrt-prod_binary64_8867` `add-cube-cbrt_binary64_8871`
25×	`add-exp-log_binary64_8874`
18×	`add-cbrt-cube_binary64_8872`
8×	`prod-exp_binary64_8885` `cbrt-unprod_binary64_8869`
7×	`associate-l_binary64_8782` `div-exp_binary64_8887` `cbrt-undiv_binary64_8870`
6×	`pow1_binary64_8897` `unswap-sqr_binary64_8807` `distribute-lft-out--_binary64_8793` `difference-of-squares_binary64_8808`
4×	`add-log-exp_binary64_8875`
3×	`pow1/3_binary64_8918`
2×	`div-inv_binary64_8836`
1×	`pow-prod-down_binary64_8907` `frac-times_binary64_8849` `associate-l/_binary64_8784` `-commutative_binary64_8772` `associate-*r/_binary64_8783`

Counts

4 → 104

Calls

4 calls:

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

series669.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

236.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
149.0ms	(cbrt.f64 t)
146.0ms	(cbrt.f64 t)
138.0ms	(cbrt.f64 t)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4933	1665
1	4933	1665

prune103.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	117	7	124

Merged error: 0b

Counts

124 → 7

Compiler

Compiled 2356 to 700 computations (70.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
8.5b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_8860`
14×	`*-un-lft-identity_binary64_8839`
13×	`associate-l_binary64_8782`
10×	`times-frac_binary64_8845` `add-cube-cbrt_binary64_8871`
7×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
5×	`associate-r_binary64_8781`
4×	`add-log-exp_binary64_8875` `pow1_binary64_8897`
2×	`flip3--_binary64_8843` `unswap-sqr_binary64_8807` `prod-exp_binary64_8885` `frac-times_binary64_8849` `flip--_binary64_8814` `sub-neg_binary64_8832` `cbrt-unprod_binary64_8869` `associate-*r/_binary64_8783`
1×	`pow-prod-down_binary64_8907` `distribute-lft-out_binary64_8792` `div-inv_binary64_8836` `flip3-+_binary64_8842` `distribute-lft-in_binary64_8790` `sum-log_binary64_8927` `div-exp_binary64_8887` `associate-l/_binary64_8784` `flip-+_binary64_8813` `distribute-lft-out--_binary64_8793` `distribute-rgt-in_binary64_8791` `-commutative_binary64_8772` `+-commutative_binary64_8771` `difference-of-squares_binary64_8808` `cbrt-undiv_binary64_8870`

Counts

2 → 52

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))

series196.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

119.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
77.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4962	850
1	4962	850

prune50.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Merged error: 0b

Counts

65 → 7

Compiler

Compiled 1026 to 352 computations (65.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.9b	(cbrt.f64 (*.f64 (/.f64 y t) (-.f64 z x)))
8.5b	(*.f64 (/.f64 y t) (-.f64 z x))
8.5b	(*.f64 (/.f64 y t) (-.f64 z x))
8.5b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_8860`
39×	`associate-l_binary64_8782`
34×	`*-un-lft-identity_binary64_8839`
30×	`times-frac_binary64_8845`
28×	`add-cube-cbrt_binary64_8871`
19×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
15×	`associate-r_binary64_8781`
10×	`pow1_binary64_8897`
8×	`flip3--_binary64_8843` `frac-times_binary64_8849` `flip--_binary64_8814` `associate-*r/_binary64_8783`
6×	`unswap-sqr_binary64_8807` `prod-exp_binary64_8885` `sub-neg_binary64_8832` `cbrt-unprod_binary64_8869`
5×	`cbrt-div_binary64_8868`
4×	`add-log-exp_binary64_8875` `associate-*l/_binary64_8784`
3×	`pow-prod-down_binary64_8907` `div-inv_binary64_8836` `distribute-lft-in_binary64_8790` `div-exp_binary64_8887` `distribute-lft-out--_binary64_8793` `distribute-rgt-in_binary64_8791` `*-commutative_binary64_8772` `difference-of-squares_binary64_8808` `cbrt-undiv_binary64_8870`
1×	`cbrt-prod_binary64_8867` `pow1/3_binary64_8918`

Counts

4 → 134

Calls

4 calls:

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

series679.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt.f64 (*.f64 (/.f64 y t) (-.f64 z x)))
137.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
125.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
116.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4989	2030
1	4989	2030

prune137.0ms (2.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	146	7	153

Merged error: 0b

Counts

153 → 7

Compiler

Compiled 4954 to 673 computations (86.4% saved)

regimes231.0ms (4.9%)

Compiler: Compiled 1416 to 1013 computations (28.5% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	137
1	45	137

end0.0ms (0%)

sample955.0ms (20.3%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
75.0ms	2167×	body	128	invalid

Compiler

Compiled 395 to 242 computations (38.7% saved)

Details

analyze659.0ms (14%)

sample21.0ms (0.5%)

simplify211.0ms (4.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite25.0ms (0.5%)

series261.0ms (5.5%)

simplify46.0ms (1%)

prune57.0ms (1.2%)

localize11.0ms (0.2%)

rewrite40.0ms (0.8%)

series669.0ms (14.2%)

simplify88.0ms (1.9%)

prune103.0ms (2.2%)

localize8.0ms (0.2%)

rewrite19.0ms (0.4%)

series196.0ms (4.2%)

simplify67.0ms (1.4%)

prune50.0ms (1.1%)

localize11.0ms (0.2%)

rewrite55.0ms (1.2%)

series679.0ms (14.4%)

simplify99.0ms (2.1%)

prune137.0ms (2.9%)

regimes231.0ms (4.9%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample955.0ms (20.3%)

Profiling