Details

analyze661.0ms (9.2%)

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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	64×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify154.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

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: 2.4b

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 x (*.f64 (-.f64 y x) (/.f64 z t)))
5.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14422`
13×	`associate-r_binary64_14340`
12×	`*-un-lft-identity_binary64_14400`
10×	`add-cube-cbrt_binary64_14435` `times-frac_binary64_14406`
7×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
5×	`associate-l_binary64_14341`
4×	`add-log-exp_binary64_14439` `pow1_binary64_14461`
2×	`associate-*l/_binary64_14343` `cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `frac-times_binary64_14410` `flip--_binary64_14375` `flip3--_binary64_14404` `unswap-sqr_binary64_14368`
1×	`+-commutative_binary64_14330` `flip3-+_binary64_14403` `pow-prod-down_binary64_14471` `cbrt-undiv_binary64_14434` `difference-of-squares_binary64_14369` `div-exp_binary64_14451` `div-inv_binary64_14397` `associate-r/_binary64_14342` `distribute-lft-out--_binary64_14352` `flip-+_binary64_14374` `-commutative_binary64_14331` `sum-log_binary64_14491`

Counts

2 → 49

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series470.0ms (6.6%)

Counts

2 → 41

Calls

2 calls:

265.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
205.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 701 to 587 computations (16.3% saved)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5419	1210

prune76.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

Compiler

Compiled 1240 to 329 computations (73.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_14422`
24×	`add-exp-log_binary64_14438`
22×	`cbrt-prod_binary64_14431`
18×	`*-un-lft-identity_binary64_14400`
16×	`add-cube-cbrt_binary64_14435`
14×	`add-cbrt-cube_binary64_14436`
13×	`pow1_binary64_14461`
11×	`associate-l_binary64_14341` `associate-r_binary64_14340`
10×	`cbrt-unprod_binary64_14433` `prod-exp_binary64_14449`
8×	`pow1/3_binary64_14482`
6×	`unswap-sqr_binary64_14368` `swap-sqr_binary64_14367`
4×	`cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `add-log-exp_binary64_14439`
3×	`pow-prod-down_binary64_14471`
2×	`associate-l/_binary64_14343` `frac-times_binary64_14410` `flip--_binary64_14375` `flip3--_binary64_14404` `pow-prod-up_binary64_14470` `pow-sqr_binary64_14373` `-commutative_binary64_14331` `times-frac_binary64_14406`
1×	`pow-plus_binary64_14463` `pow2_binary64_14481` `difference-of-squares_binary64_14369` `div-inv_binary64_14397` `associate-*r/_binary64_14342` `distribute-lft-out--_binary64_14352`

Counts

4 → 98

Calls

4 calls:

15.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series1.2s (16.4%)

Counts

4 → 27

Calls

4 calls:

872.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
114.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
93.0ms	(cbrt.f64 z)
93.0ms	(cbrt.f64 z)

Compiler

Compiled 1310 to 1070 computations (18.3% saved)

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5027	1628

prune121.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	126	8	134

Merged error: 0b

Counts

134 → 8

Compiler

Compiled 3269 to 797 computations (75.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
10.0b	(cbrt.f64 (/.f64 z t))
10.0b	(cbrt.f64 (/.f64 z t))
10.0b	(cbrt.f64 (/.f64 z t))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_14431`
29×	`add-sqr-sqrt_binary64_14422`
28×	`*-un-lft-identity_binary64_14400`
27×	`times-frac_binary64_14406`
26×	`add-cube-cbrt_binary64_14435`
15×	`cbrt-div_binary64_14432`
9×	`add-exp-log_binary64_14438` `frac-times_binary64_14410` `pow1_binary64_14461`
7×	`add-cbrt-cube_binary64_14436`
6×	`associate-*r/_binary64_14342`
5×	`associate-l/_binary64_14343` `associate-l*_binary64_14341`
4×	`flip--_binary64_14375` `flip3--_binary64_14404` `add-log-exp_binary64_14439`
3×	`cbrt-unprod_binary64_14433` `pow1/3_binary64_14482` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `div-inv_binary64_14397`
1×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `-commutative_binary64_14331` `associate-r*_binary64_14340` `unswap-sqr_binary64_14368`

Counts

4 → 98

Calls

4 calls:

15.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
3.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

series1.5s (21.6%)

Counts

4 → 36

Calls

4 calls:

844.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
238.0ms	(cbrt.f64 (/.f64 z t))
233.0ms	(cbrt.f64 (/.f64 z t))
230.0ms	(cbrt.f64 (/.f64 z t))

Compiler

Compiled 1744 to 1384 computations (20.6% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	1879
1	4953	1879

prune123.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	134	8	142

Merged error: 0b

Counts

142 → 8

Compiler

Compiled 3227 to 960 computations (70.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.4b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
7×	`add-cube-cbrt_binary64_14435`
5×	`add-log-exp_binary64_14439` `pow1_binary64_14461` `associate-l_binary64_14341`
4×	`associate-*l/_binary64_14343`
3×	`associate-/r_binary64_14344` `times-frac_binary64_14406` `associate-r*_binary64_14340`
2×	`associate-/l/_binary64_14347` `cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `flip--_binary64_14375` `flip3--_binary64_14404`
1×	`+-commutative_binary64_14330` `flip3-+_binary64_14403` `pow-prod-down_binary64_14471` `frac-2neg_binary64_14411` `difference-of-squares_binary64_14369` `clear-num_binary64_14399` `distribute-lft-out_binary64_14351` `div-inv_binary64_14397` `distribute-lft-out--_binary64_14352` `flip-+_binary64_14374` `-commutative_binary64_14331` `sum-log_binary64_14491` `unswap-sqr_binary64_14368` `associate-/l_binary64_14345`

Counts

3 → 57

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series556.0ms (7.8%)

Counts

3 → 56

Calls

3 calls:

266.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
197.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
93.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 941 to 797 computations (15.3% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5660	1294

prune68.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	114	7	121

Merged error: 0b

Counts

121 → 7

Compiler

Compiled 1304 to 312 computations (76.1% saved)

regimes377.0ms (5.3%)

Compiler: Compiled 3512 to 2619 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (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 (19.4%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
74.0ms	2100×	body	128	invalid

Compiler

Compiled 611 to 437 computations (28.5% saved)

Details

analyze661.0ms (9.2%)

sample22.0ms (0.3%)

simplify154.0ms (2.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite18.0ms (0.3%)

series470.0ms (6.6%)

simplify81.0ms (1.1%)

prune76.0ms (1.1%)

localize15.0ms (0.2%)

rewrite38.0ms (0.5%)

series1.2s (16.4%)

simplify50.0ms (0.7%)

prune121.0ms (1.7%)

localize10.0ms (0.1%)

rewrite32.0ms (0.5%)

series1.5s (21.6%)

simplify78.0ms (1.1%)

prune123.0ms (1.7%)

localize6.0ms (0.1%)

rewrite23.0ms (0.3%)

series556.0ms (7.8%)

simplify60.0ms (0.8%)

prune68.0ms (0.9%)

regimes377.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (19.4%)

Profiling