Details

analyze545.0ms (8%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify196.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (188.0ms)

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 2 expressions with local error:

0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`*-un-lft-identity_binary64_14059`
8×	`add-sqr-sqrt_binary64_14081`
7×	`add-log-exp_binary64_14098`
6×	`add-cube-cbrt_binary64_14094` `log-prod_binary64_14145`
5×	`pow1_binary64_14120`
4×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `associate-l_binary64_14000` `associate-r_binary64_13999`
3×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
2×	`flip3-+_binary64_14062` `associate-*l/_binary64_14002` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `sum-log_binary64_14150` `associate-+l+_binary64_13992`
1×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027` `log-pow_binary64_14148` `*-commutative_binary64_13990` `diff-log_binary64_14151` `associate-+l-_binary64_13994` `sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025` `+-commutative_binary64_13989`

Counts

2 → 44

Calls

2 calls:

11.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

Compiler

Compiled 866 to 487 computations (43.8% saved)

series410.0ms (6%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

297.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
86.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 582 to 424 computations (27.1% saved)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5574	847

prune100.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Error

0.0b

Counts

61 → 7

Compiler

Compiled 1073 to 604 computations (43.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
0.1b	(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.2b	(*.f64 (log.f64 y) (+.f64 1/2 y))

rewrite84.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_14098`
9×	`*-un-lft-identity_binary64_14059`
7×	`add-sqr-sqrt_binary64_14081`
6×	`pow1_binary64_14120`
5×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `add-cube-cbrt_binary64_14094`
4×	`associate-l_binary64_14000` `associate-r_binary64_13999`
2×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `flip3-+_binary64_14062` `associate-*r/_binary64_14001` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `diff-log_binary64_14151` `sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025` `associate--r+_binary64_13995` `sum-log_binary64_14150` `associate-+l+_binary64_13992`
1×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027` `log-pow_binary64_14148` `*-commutative_binary64_13990` `flip3--_binary64_14063` `flip--_binary64_14034` `associate-+l-_binary64_13994` `+-commutative_binary64_13989`

Counts

3 → 54

Calls

3 calls:

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

Compiler

Compiled 1055 to 585 computations (44.5% saved)

series547.0ms (8%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

316.0ms	(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
121.0ms	(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
86.0ms	(*.f64 (log.f64 y) (+.f64 1/2 y))

Compiler

Compiled 787 to 582 computations (26% saved)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5011	1036

prune76.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	75	7	82

Error

0.0b

Counts

82 → 7

Compiler

Compiled 1278 to 681 computations (46.7% saved)

localize17.0ms (0.2%)

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))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite205.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_14059`
12×	`cbrt-prod_binary64_14090` `log-prod_binary64_14145` `associate-+r+_binary64_13991`
11×	`add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081`
10×	`associate-*l/_binary64_14002`
9×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
6×	`add-log-exp_binary64_14098` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
4×	`frac-add_binary64_14067` `associate-l_binary64_14000`
3×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
2×	`pow1/3_binary64_14141` `distribute-lft-out_binary64_14010`
1×	`sum-log_binary64_14150` `+-commutative_binary64_13989` `associate-r_binary64_13999` `*-commutative_binary64_13990`

Counts

4 → 71

Calls

4 calls:

12.0ms	(+.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))
3.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2368 to 1316 computations (44.4% saved)

series665.0ms (9.7%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

271.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
198.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
95.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)

Compiler

Compiled 1074 to 849 computations (20.9% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5664	1205

prune157.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Error

Counts

94 → 6

Compiler

Compiled 2294 to 1311 computations (42.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (+.f64 y 1/2) (+.f64 (.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) (+.f64 1/2 y)))
0.4b	(*.f64 2/3 (log.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite223.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`flip3-+_binary64_14062` `flip-+_binary64_14033`
20×	`associate-*r/_binary64_14001`
16×	`frac-add_binary64_14067`
14×	`add-sqr-sqrt_binary64_14081`
12×	`add-cube-cbrt_binary64_14094` `cbrt-prod_binary64_14090` `*-un-lft-identity_binary64_14059`
8×	`frac-times_binary64_14069`
7×	`pow1_binary64_14120`
6×	`add-log-exp_binary64_14098` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `sqrt-prod_binary64_14075` `log-prod_binary64_14145`
5×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
4×	`associate-r_binary64_13999` `associate-*l/_binary64_14002`
3×	`associate-l_binary64_14000`
2×	`pow1/3_binary64_14141` `associate-+l+_binary64_13992` `associate-+r+_binary64_13991`
1×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `unswap-sqr_binary64_14027` `log-pow_binary64_14148` `*-commutative_binary64_13990` `sum-log_binary64_14150` `+-commutative_binary64_13989`

Counts

4 → 84

Calls

4 calls:

13.0ms	(+.f64 (.f64 (+.f64 y 1/2) (+.f64 (.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) (+.f64 1/2 y)))
7.0ms	(*.f64 2/3 (log.f64 y))
4.0ms	(cbrt.f64 (sqrt.f64 y))
3.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 4030 to 2014 computations (50% saved)

series662.0ms (9.7%)

Error

Counts

4 → 14

Calls

4 calls:

401.0ms	(+.f64 (.f64 (+.f64 y 1/2) (+.f64 (.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) (+.f64 1/2 y)))
103.0ms	(*.f64 2/3 (log.f64 y))
65.0ms	(cbrt.f64 (sqrt.f64 y))
64.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 1196 to 903 computations (24.5% saved)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5507	2979

prune172.0ms (2.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Error

Counts

104 → 6

Compiler

Compiled 3816 to 1935 computations (49.3% saved)

regimes527.0ms (7.7%)

Accuracy

Total 0.1b remaining (95.8%)

Threshold costs 0.1b (95.8%)

Compiler

Compiled 4567 to 3592 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	23
1	67	23

end0.0ms (0%)

sample1.8s (26.6%)

Algorithm

1×

intervals

Results

467.0ms	7997×	body	128	valid
3.0ms	49×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 930 to 732 computations (21.3% saved)

Details

analyze545.0ms (8%)

sample28.0ms (0.4%)

simplify196.0ms (2.9%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite85.0ms (1.2%)

series410.0ms (6%)

simplify94.0ms (1.4%)

prune100.0ms (1.5%)

localize10.0ms (0.1%)

rewrite84.0ms (1.2%)

series547.0ms (8%)

simplify60.0ms (0.9%)

prune76.0ms (1.1%)

localize17.0ms (0.2%)

rewrite205.0ms (3%)

series665.0ms (9.7%)

simplify69.0ms (1%)

prune157.0ms (2.3%)

localize19.0ms (0.3%)

rewrite223.0ms (3.3%)

series662.0ms (9.7%)

simplify68.0ms (1%)

prune172.0ms (2.5%)

regimes527.0ms (7.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (26.6%)

Profiling