Details

analyze457.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4949	72
1	4949	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify169.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune2.0ms (0%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 65

Calls

3 calls:

8.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

Compiler

Compiled 1316 to 731 computations (44.5% saved)

series732.0ms (11.2%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

387.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
242.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
78.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1109 to 783 computations (29.4% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4928	1505
1	4928	1505

prune90.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Error

0.0b

Counts

99 → 5

Compiler

Compiled 1556 to 810 computations (47.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite131.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_9285`
12×	`cbrt-prod_binary64_9316` `log-prod_binary64_9371` `associate-+r+_binary64_9217`
11×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
10×	`associate-*l/_binary64_9228`
9×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
6×	`add-log-exp_binary64_9324` `flip3-+_binary64_9288` `flip-+_binary64_9259` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`
4×	`frac-add_binary64_9293` `associate-l_binary64_9226`
3×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318`
2×	`pow1/3_binary64_9367` `distribute-lft-out_binary64_9236`
1×	`sum-log_binary64_9376` `+-commutative_binary64_9215` `associate-r_binary64_9225` `*-commutative_binary64_9216`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2368 to 1316 computations (44.4% saved)

series543.0ms (8.3%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

223.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
147.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
77.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

Compiler

Compiled 1074 to 849 computations (20.9% saved)

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5664	1205

prune111.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Error

0.0b

Counts

92 → 6

Compiler

Compiled 2300 to 1316 computations (42.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1/2 y))
0.1b	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
0.4b	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
0.5b	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))

rewrite154.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_9285`
16×	`sqrt-div_binary64_9302`
15×	`add-sqr-sqrt_binary64_9307`
13×	`pow1_binary64_9346` `sqrt-prod_binary64_9301`
11×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `associate-l_binary64_9226`
10×	`add-cube-cbrt_binary64_9320` `associate-*r/_binary64_9227`
9×	`add-log-exp_binary64_9324` `flip3-+_binary64_9288` `flip-+_binary64_9259`
8×	`associate-r_binary64_9225`
4×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `distribute-lft-out_binary64_9236` `frac-times_binary64_9295`
2×	`unswap-sqr_binary64_9253` `-commutative_binary64_9216` `associate-l/_binary64_9228` `sum-log_binary64_9376` `associate-+l+_binary64_9218`
1×	`log-pow_binary64_9374` `diff-log_binary64_9377` `associate-+l-_binary64_9220` `sub-neg_binary64_9278` `cancel-sign-sub-inv_binary64_9251` `+-commutative_binary64_9215` `pow1/2_binary64_9365` `sqrt-pow1_binary64_9303` `rem-sqrt-square_binary64_9298`

Counts

4 → 88

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
8.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))
6.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
3.0ms	(sqrt.f64 (+.f64 1/2 y))

Compiler

Compiled 2416 to 1587 computations (34.3% saved)

series428.0ms (6.6%)

Error

Counts

4 → 26

Calls

4 calls:

232.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
89.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
58.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))
25.0ms	(sqrt.f64 (+.f64 1/2 y))

Compiler

Compiled 1288 to 971 computations (24.6% saved)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4917	1617
1	4917	1617

prune119.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	113	7	120

Error

Counts

120 → 7

Compiler

Compiled 2415 to 1477 computations (38.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))

rewrite126.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_9316`
23×	`add-sqr-sqrt_binary64_9307`
20×	`pow1_binary64_9346`
17×	`*-un-lft-identity_binary64_9285`
15×	`add-cube-cbrt_binary64_9320`
9×	`pow1/3_binary64_9367` `swap-sqr_binary64_9252` `log-pow_binary64_9374`
7×	`associate-l_binary64_9226` `associate-r_binary64_9225`
6×	`add-exp-log_binary64_9323`
4×	`add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321` `unswap-sqr_binary64_9253`
2×	`pow-prod-down_binary64_9356` `pow-prod-up_binary64_9355` `pow-sqr_binary64_9258`
1×	`pow2_binary64_9366` `pow-plus_binary64_9348` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `*-commutative_binary64_9216`

Counts

4 → 81

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

Compiler

Compiled 2636 to 1170 computations (55.6% saved)

series613.0ms (9.4%)

Error

Counts

4 → 12

Calls

4 calls:

156.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
149.0ms	(cbrt.f64 (log.f64 y))
148.0ms	(cbrt.f64 (log.f64 y))
144.0ms	(cbrt.f64 (log.f64 y))

Compiler

Compiled 1092 to 798 computations (26.9% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4995	799
1	4995	799

prune113.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Error

Counts

100 → 7

Compiler

Compiled 2732 to 1365 computations (50% saved)

regimes489.0ms (7.5%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 5159 to 4048 computations (21.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms (0%)

sample1.8s (27.4%)

Algorithm

1×

intervals

Results

554.0ms	7998×	body	128	valid
2.0ms	36×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 1052 to 826 computations (21.5% saved)

Details

analyze457.0ms (7%)

sample22.0ms (0.3%)

simplify169.0ms (2.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite95.0ms (1.5%)

series732.0ms (11.2%)

simplify80.0ms (1.2%)

prune90.0ms (1.4%)

localize17.0ms (0.3%)

rewrite131.0ms (2%)

series543.0ms (8.3%)

simplify45.0ms (0.7%)

prune111.0ms (1.7%)

localize13.0ms (0.2%)

rewrite154.0ms (2.4%)

series428.0ms (6.6%)

simplify94.0ms (1.4%)

prune119.0ms (1.8%)

localize17.0ms (0.3%)

rewrite126.0ms (1.9%)

series613.0ms (9.4%)

simplify59.0ms (0.9%)

prune113.0ms (1.7%)

regimes489.0ms (7.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (27.4%)

Profiling