Details

analyze146.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	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 6 to 6 computations (0% saved)

sample53.0ms (2%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 1547 to 1804 computations (-16.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x 1/3)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
3×	`add-log-exp_binary64_9324` `cancel-sign-sub-inv_binary64_9251`
2×	`add-cube-cbrt_binary64_9320`
1×	`diff-log_binary64_9377` `pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `flip3--_binary64_9289` `sub-neg_binary64_9278` `flip--_binary64_9260` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`

Counts

1 → 16

Calls

1 calls:

4.0ms

(-.f64 x 1/3)

Compiler

Compiled 136 to 108 computations (20.6% saved)

series30.0ms (1.1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

26.0ms

(-.f64 x 1/3)

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify95.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4802	124
1	4802	124

prune15.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Compiler

Compiled 127 to 98 computations (22.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -1/3 x)
0.5b	(pow.f64 (+.f64 -1/3 x) 3)
19.6b	(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))

rewrite75.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_9285`
14×	`cbrt-prod_binary64_9316`
9×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
8×	`unpow-prod-down_binary64_9364` `cube-prod_binary64_9313`
5×	`add-log-exp_binary64_9324` `distribute-lft-out_binary64_9236`
4×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `cube-div_binary64_9314`
3×	`flip3-+_binary64_9288` `flip-+_binary64_9259` `pow-unpow_binary64_9362`
2×	`cbrt-div_binary64_9317` `unpow3_binary64_9351` `cube-mult_binary64_9315` `sqr-pow_binary64_9257`
1×	`pow1/3_binary64_9367` `rem-cbrt-cube_binary64_9309` `pow-pow_binary64_9357` `pow-to-exp_binary64_9354` `pow-exp_binary64_9353` `rem-cube-cbrt_binary64_9308` `sum-log_binary64_9376` `+-commutative_binary64_9215`

Counts

3 → 64

Calls

3 calls:

5.0ms	(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
4.0ms	(pow.f64 (+.f64 -1/3 x) 3)
3.0ms	(+.f64 -1/3 x)

Compiler

Compiled 820 to 695 computations (15.2% saved)

series131.0ms (4.9%)

Error

Counts

3 → 24

Calls

3 calls:

44.0ms	(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
43.0ms	(pow.f64 (+.f64 -1/3 x) 3)
30.0ms	(+.f64 -1/3 x)

Compiler

Compiled 355 to 312 computations (12.1% saved)

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5106	741

prune63.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 746 to 607 computations (18.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 -1/3 x)
0.3b	(log.f64 (exp.f64 (+.f64 -1/3 x)))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_9285`
5×	`log-pow_binary64_9374`
4×	`add-cube-cbrt_binary64_9320` `exp-prod_binary64_9337` `add-sqr-sqrt_binary64_9307` `log-prod_binary64_9371` `add-log-exp_binary64_9324`
3×	`pow1_binary64_9346`
2×	`distribute-lft-out_binary64_9236` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
1×	`exp-sum_binary64_9331` `rem-log-exp_binary64_9326` `sum-log_binary64_9376` `flip3-+_binary64_9288` `flip-+_binary64_9259` `+-commutative_binary64_9215`

Counts

2 → 29

Calls

2 calls:

4.0ms	(log.f64 (exp.f64 (+.f64 -1/3 x)))
3.0ms	(+.f64 -1/3 x)

Compiler

Compiled 300 to 249 computations (17% saved)

series150.0ms (5.7%)

Error

Counts

2 → 10

Calls

2 calls:

121.0ms	(log.f64 (exp.f64 (+.f64 -1/3 x)))
23.0ms	(+.f64 -1/3 x)

Compiler

Compiled 114 to 107 computations (6.1% saved)

simplify119.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4784	246
1	4784	246

prune26.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 273 to 220 computations (19.4% saved)

regimes25.0ms (1%)

Accuracy

Total 0.0b remaining (44%)

Threshold costs 0.0b (44%)

Compiler

Compiled 76 to 78 computations (-2.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	16	4

end0.0ms (0%)

sample1.6s (60.1%)

Algorithm

1×

intervals

Results

130.0ms

8000×

body

128

valid

Compiler

Compiled 48041 to 56043 computations (-16.7% saved)

Details

analyze146.0ms (5.5%)

sample53.0ms (2%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize2.0ms (0.1%)

rewrite16.0ms (0.6%)

series30.0ms (1.1%)

simplify95.0ms (3.6%)

prune15.0ms (0.6%)

localize5.0ms (0.2%)

rewrite75.0ms (2.8%)

series131.0ms (4.9%)

simplify57.0ms (2.1%)

prune63.0ms (2.4%)

localize4.0ms (0.2%)

rewrite31.0ms (1.2%)

series150.0ms (5.7%)

simplify119.0ms (4.5%)

prune26.0ms (1%)

regimes25.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (60.1%)

Profiling