Details

analyze11.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample51.0ms (0.7%)

Algorithm

1×

intervals

Results

39.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify476.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4937	40
1	4937	40

prune8.0ms (0.1%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 62 to 50 computations (19.4% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

0.0b

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

0.0b

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite136.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
55×	`*-un-lft-identity_binary64_751`
49×	`times-frac_binary64_757`
31×	`add-sqr-sqrt_binary64_772`
30×	`prod-exp_binary64_797` `cbrt-unprod_binary64_781`
27×	`add-cube-cbrt_binary64_783`
25×	`cbrt-undiv_binary64_782` `div-exp_binary64_799`
24×	`swap-sqr_binary64_718`
20×	`associate-l_binary64_694` `associate-r_binary64_693`
18×	`associate-/r/_binary64_699`
17×	`pow1_binary64_809`
12×	`distribute-lft-out_binary64_704`
10×	`flip3-+_binary64_754` `flip-+_binary64_725`
9×	`div-inv_binary64_748`
3×	`associate-/r_binary64_697` `add-log-exp_binary64_787` `associate-/l_binary64_698`
2×	`frac-times_binary64_761` `unswap-sqr_binary64_719` `associate-/l/_binary64_700` `pow-plus_binary64_811` `pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819` `-commutative_binary64_684` `associate-r/_binary64_695` `pow2_binary64_829` `associate-*l/_binary64_696`
1×	`frac-2neg_binary64_762` `clear-num_binary64_750`

Counts

3 → 165

Calls

3 calls:

37.0ms

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

32.0ms

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

19.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

series220.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

115.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

53.0ms

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

52.0ms

(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

simplify156.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4979	4007
1	4979	4007

prune662.0ms (8.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	172	3	175

Merged error: 0b

Counts

175 → 3

Compiler

Compiled 6489 to 5120 computations (21.1% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

rewrite90.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`unpow-prod-down_binary64_827`
40×	`sqrt-prod_binary64_766`
28×	`*-un-lft-identity_binary64_751`
20×	`add-cube-cbrt_binary64_783` `add-sqr-sqrt_binary64_772`
16×	`times-frac_binary64_757`
12×	`pow1_binary64_809` `pow-pow_binary64_820` `pow-unpow_binary64_825`
8×	`associate-/r/_binary64_699` `add-exp-log_binary64_786`
4×	`pow-to-exp_binary64_817` `distribute-lft-out_binary64_704` `flip3-+_binary64_754` `pow-exp_binary64_816` `sqr-pow_binary64_723` `pow1/2_binary64_828` `add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `div-inv_binary64_748` `sqrt-pow1_binary64_768` `sqrt-pow2_binary64_769` `flip-+_binary64_725`

Counts

4 → 120

Calls

4 calls:

14.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
14.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
14.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
14.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

series960.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
241.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
237.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
219.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5009	2560

prune926.0ms (12.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0b

Counts

135 → 3

Compiler

Compiled 7756 to 6530 computations (15.8% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b	(exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
0.3b	(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)))
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

rewrite125.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64_751`
41×	`add-exp-log_binary64_786`
40×	`add-cbrt-cube_binary64_784`
39×	`unpow-prod-down_binary64_827`
34×	`exp-prod_binary64_800`
32×	`times-frac_binary64_757`
30×	`sqrt-prod_binary64_766`
27×	`add-sqr-sqrt_binary64_772`
25×	`add-cube-cbrt_binary64_783`
18×	`log-pow_binary64_837`
15×	`prod-exp_binary64_797` `cbrt-unprod_binary64_781`
14×	`pow1_binary64_809` `associate-/r/_binary64_699`
12×	`cbrt-undiv_binary64_782` `swap-sqr_binary64_718` `div-exp_binary64_799`
10×	`associate-l_binary64_694` `associate-r_binary64_693`
9×	`distribute-lft-out_binary64_704`
7×	`flip3-+_binary64_754` `div-inv_binary64_748` `flip-+_binary64_725`
5×	`add-log-exp_binary64_787`
3×	`sqr-pow_binary64_723` `pow-pow_binary64_820` `log-prod_binary64_834` `pow-unpow_binary64_825`
1×	`pow-to-exp_binary64_817` `frac-times_binary64_761` `rem-log-exp_binary64_789` `unswap-sqr_binary64_719` `pow-exp_binary64_816` `pow1/2_binary64_828` `pow-plus_binary64_811` `pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819` `-commutative_binary64_684` `associate-r/_binary64_695` `rem-exp-log_binary64_788` `pow2_binary64_829` `associate-*l/_binary64_696` `sqrt-pow1_binary64_768` `sqrt-pow2_binary64_769`

Counts

4 → 151

Calls

4 calls:

33.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
18.0ms	(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)))
18.0ms	(exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
16.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

series1.0s (13.4%)

Counts

4 → 12

Calls

4 calls:

445.0ms	(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)))
269.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)
243.0ms	(exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
57.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4954	2812
1	4954	2812

prune625.0ms (8.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Merged error: 0b

Counts

166 → 3

Compiler

Compiled 5846 to 4765 computations (18.5% saved)

regimes122.0ms (1.6%)

Compiler: Compiled 596 to 498 computations (16.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	52
1	16	52

end0.0ms (0%)

sample1.7s (22.2%)

Algorithm

1×

intervals

Results

1.2s

8000×

body

128

valid

Compiler

Compiled 191 to 159 computations (16.8% saved)

Details

analyze11.0ms (0.1%)

sample51.0ms (0.7%)

simplify476.0ms (6.3%)

prune8.0ms (0.1%)

localize17.0ms (0.2%)

rewrite136.0ms (1.8%)

series220.0ms (2.9%)

simplify156.0ms (2.1%)

prune662.0ms (8.7%)

localize29.0ms (0.4%)

rewrite90.0ms (1.2%)

series960.0ms (12.7%)

simplify118.0ms (1.6%)

prune926.0ms (12.2%)

localize38.0ms (0.5%)

rewrite125.0ms (1.7%)

series1.0s (13.4%)

simplify108.0ms (1.4%)

prune625.0ms (8.2%)

regimes122.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (22.2%)

Profiling