Details

analyze1.1s (3.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	275
1	4923	275
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14
2.7%	16.4%	80.8%	14

Symmetry

(sort x y)

Compiler

Compiled 34 to 32 computations (5.9% saved)

sample7.9s (27.4%)

Algorithm

2×

intervals

Results

259.0ms	3484×	body	128	nan
41.0ms	512×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 34866 to 43065 computations (-23.5% saved)

simplify140.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	5309	25

prune4.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite209.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`*-un-lft-identity_binary64_9285`
20×	`add-sqr-sqrt_binary64_9307`
19×	`log-prod_binary64_9371`
15×	`pow1_binary64_9346`
14×	`add-log-exp_binary64_9324` `add-cube-cbrt_binary64_9320`
9×	`log-pow_binary64_9374` `distribute-lft-out_binary64_9236` `associate-+l+_binary64_9218` `associate-+r+_binary64_9217`
6×	`sum-log_binary64_9376` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `flip3--_binary64_9289` `associate-*l/_binary64_9228` `flip--_binary64_9260` `distribute-lft-out--_binary64_9237` `cancel-sign-sub-inv_binary64_9251`
5×	`associate-+l-_binary64_9220` `associate-l_binary64_9226`
4×	`flip3-+_binary64_9288` `flip-+_binary64_9259` `log-div_binary64_9372` `associate-r_binary64_9225` `diff-log_binary64_9377` `frac-add_binary64_9293`
2×	`+-commutative_binary64_9215` `difference-of-squares_binary64_9254` `sub-neg_binary64_9278` `associate--l+_binary64_9222` `associate--l-_binary64_9223`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216`

Counts

4 → 106

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
7.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

Compiler

Compiled 2800 to 943 computations (66.3% saved)

series2.2s (7.6%)

Error

0.1b

Counts

4 → 71

Calls

4 calls:

1.2s	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
446.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
266.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
249.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

Compiler

Compiled 3608 to 2619 computations (27.4% saved)

simplify70.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5004	3422

prune234.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	169	8	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	8	178

Error

0.0b

Counts

178 → 8

Compiler

Compiled 3925 to 1411 computations (64.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 (log.f64 t) a))
0.2b	(*.f64 (log.f64 t) a)
0.4b	(+.f64 (log.f64 z) (*.f64 -1/2 (log.f64 t)))
0.5b	(+.f64 (log.f64 (+.f64 y x)) (+.f64 (log.f64 z) (*.f64 -1/2 (log.f64 t))))

rewrite116.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`*-un-lft-identity_binary64_9285`
13×	`log-prod_binary64_9371`
12×	`add-sqr-sqrt_binary64_9307`
10×	`add-cube-cbrt_binary64_9320`
9×	`add-log-exp_binary64_9324`
8×	`pow1_binary64_9346`
7×	`associate-+l+_binary64_9218` `associate-+r+_binary64_9217`
6×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
4×	`sum-log_binary64_9376` `associate-l_binary64_9226`
3×	`flip3-+_binary64_9288` `flip-+_binary64_9259` `distribute-lft-out_binary64_9236` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `associate-r_binary64_9225`
2×	`log-pow_binary64_9374` `log-div_binary64_9372` `associate-+l-_binary64_9220` `+-commutative_binary64_9215`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216` `diff-log_binary64_9377` `flip3--_binary64_9289` `sub-neg_binary64_9278` `flip--_binary64_9260` `cancel-sign-sub-inv_binary64_9251`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (log.f64 (+.f64 y x)) (+.f64 (log.f64 z) (*.f64 -1/2 (log.f64 t))))
4.0ms	(+.f64 (log.f64 z) (*.f64 -1/2 (log.f64 t)))
4.0ms	(*.f64 (log.f64 t) a)
3.0ms	(-.f64 t (*.f64 (log.f64 t) a))

Compiler

Compiled 1919 to 684 computations (64.4% saved)

series1.4s (4.7%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

613.0ms	(+.f64 (log.f64 (+.f64 y x)) (+.f64 (log.f64 z) (*.f64 -1/2 (log.f64 t))))
308.0ms	(+.f64 (log.f64 z) (*.f64 -1/2 (log.f64 t)))
210.0ms	(-.f64 t (*.f64 (log.f64 t) a))
190.0ms	(*.f64 (log.f64 t) a)

Compiler

Compiled 2406 to 1683 computations (30% saved)

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4973	1684
1	4973	1684

prune137.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Error

0.0b

Counts

121 → 7

Compiler

Compiled 2800 to 976 computations (65.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 2 (.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite226.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`log-prod_binary64_9371`
30×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`
28×	`associate-+l+_binary64_9218`
26×	`*-un-lft-identity_binary64_9285`
24×	`cbrt-prod_binary64_9316`
20×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
15×	`associate-+r+_binary64_9217`
8×	`pow1_binary64_9346` `associate-*l/_binary64_9228`
7×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
6×	`add-log-exp_binary64_9324`
5×	`distribute-lft-out_binary64_9236`
4×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `log-pow_binary64_9374` `associate-*r/_binary64_9227` `frac-add_binary64_9293`
2×	`pow1/3_binary64_9367` `sum-log_binary64_9376` `log-div_binary64_9372` `associate-+l-_binary64_9220` `+-commutative_binary64_9215`
1×	`distribute-lft1-in_binary64_9240`

Counts

4 → 98

Calls

4 calls:

17.0ms	(+.f64 (.f64 2 (.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t))))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3685 to 1615 computations (56.2% saved)

series1.4s (5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

897.0ms	(+.f64 (.f64 2 (.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t))))
262.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
130.0ms	(cbrt.f64 t)
111.0ms	(cbrt.f64 t)

Compiler

Compiled 2370 to 1767 computations (25.4% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4907	1865
1	4907	1865

prune207.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	129	6	135

Error

Counts

135 → 6

Compiler

Compiled 4061 to 1737 computations (57.2% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 2 (.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (pow.f64 t 1/3))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
5.0b	(pow.f64 t 1/3)

rewrite246.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`log-prod_binary64_9371`
31×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`
28×	`associate-+l+_binary64_9218`
27×	`*-un-lft-identity_binary64_9285`
21×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
17×	`associate-+r+_binary64_9217`
15×	`cbrt-prod_binary64_9316`
9×	`unpow-prod-down_binary64_9364` `pow1_binary64_9346`
8×	`associate-*l/_binary64_9228`
7×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
6×	`add-log-exp_binary64_9324`
5×	`add-exp-log_binary64_9323` `distribute-lft-out_binary64_9236`
4×	`add-cbrt-cube_binary64_9321` `log-pow_binary64_9374` `associate-*r/_binary64_9227` `frac-add_binary64_9293`
3×	`pow-unpow_binary64_9362` `sqr-pow_binary64_9257`
2×	`sum-log_binary64_9376` `log-div_binary64_9372` `associate-+l-_binary64_9220` `+-commutative_binary64_9215`
1×	`pow-pow_binary64_9357` `pow-to-exp_binary64_9354` `pow-exp_binary64_9353` `unpow1/3_binary64_9352` `pow1/3_binary64_9367`

Counts

4 → 106

Calls

4 calls:

15.0ms	(+.f64 (.f64 2 (.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (pow.f64 t 1/3))))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
2.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 4094 to 2157 computations (47.3% saved)

series1.6s (5.5%)

Error

Counts

4 → 30

Calls

4 calls:

1.0s	(+.f64 (.f64 2 (.f64 (+.f64 -1/2 a) (log.f64 (cbrt.f64 t)))) (*.f64 (+.f64 -1/2 a) (log.f64 (pow.f64 t 1/3))))
255.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
119.0ms	(cbrt.f64 t)
115.0ms	(pow.f64 t 1/3)

Compiler

Compiled 2502 to 1974 computations (21.1% saved)

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4866	1824
1	4866	1824

prune222.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	136	6	142

Error

Counts

142 → 6

Compiler

Compiled 4130 to 1929 computations (53.3% saved)

regimes2.4s (8.4%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 27704 to 21184 computations (23.5% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	36
1	67	36

Remove

(sort x y)

Compiler

Compiled 46 to 42 computations (8.7% saved)

end0.0ms (0%)

sample8.8s (30.4%)

Algorithm

1×

intervals

Results

3.9s	56787×	body	128	nan
663.0ms	8000×	body	128	valid
3.0ms	33×	body	128	invalid

Compiler

Compiled 2336 to 1790 computations (23.4% saved)

Details

analyze1.1s (3.6%)

sample7.9s (27.4%)

simplify140.0ms (0.5%)

prune4.0ms (0%)

localize20.0ms (0.1%)

rewrite209.0ms (0.7%)

series2.2s (7.6%)

simplify70.0ms (0.2%)

prune234.0ms (0.8%)

localize16.0ms (0.1%)

rewrite116.0ms (0.4%)

series1.4s (4.7%)

simplify62.0ms (0.2%)

prune137.0ms (0.5%)

localize20.0ms (0.1%)

rewrite226.0ms (0.8%)

series1.4s (5%)

simplify77.0ms (0.3%)

prune207.0ms (0.7%)

localize29.0ms (0.1%)

rewrite246.0ms (0.9%)

series1.6s (5.5%)

simplify95.0ms (0.3%)

prune222.0ms (0.8%)

regimes2.4s (8.4%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample8.8s (30.4%)

Profiling