Details

analyze374.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	8	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
50%	50%	0.1%	5
50%	37.5%	12.6%	6
50%	25%	25.1%	7
50%	18.7%	31.3%	8
50%	12.5%	37.6%	9
50%	9.4%	40.7%	10
50%	6.2%	43.8%	11
50%	4.7%	45.4%	12
50%	3.1%	46.9%	13
50%	2.3%	47.7%	14

Symmetry

(sort a b)

Compiler

Compiled 7 to 7 computations (0% saved)

sample80.0ms (0.9%)

Algorithm

1×

intervals

Results

38.0ms	63×	body	1024	valid
7.0ms	11×	body	2048	valid
6.0ms	139×	body	128	valid
5.0ms	24×	body	512	valid
2.0ms	19×	body	256	valid
0.0ms	6×	body	128	overflowed

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

prune5.0ms (0.1%)

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

28.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
3.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

28.9b

Rules

7×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

6.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 363 to 92 computations (74.7% saved)

series241.0ms (2.8%)

Error

0.0b

Counts

2 → 23

Calls

2 calls:

182.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
36.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 751 to 569 computations (24.2% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4976	826
1	4976	826

prune43.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Error

Counts

51 → 4

Compiler

Compiled 684 to 302 computations (55.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
0.0b	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))

rewrite188.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`distribute-lft-out_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
6×	`associate-/l*_binary64`
4×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
2×	`sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 90

Calls

4 calls:

10.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
5.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 3412 to 2179 computations (36.1% saved)

series253.0ms (2.9%)

Error

Counts

4 → 22

Calls

4 calls:

84.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
72.0ms	(/.f64 b (+.f64 1 (exp.f64 a)))
49.0ms	(+.f64 1/2 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))
18.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 1843 to 1310 computations (28.9% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5057	1517

prune185.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	112	4	116

Error

Counts

116 → 4

Compiler

Compiled 3970 to 2536 computations (36.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.5b	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
0.5b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
3.0b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite80.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`*-un-lft-identity_binary64`
14×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64`
5×	`log-pow_binary64` `add-cbrt-cube_binary64`
4×	`log-prod_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`rem-log-exp_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

4.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))
3.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 1302 to 483 computations (62.9% saved)

series885.0ms (10.2%)

Error

Counts

4 → 46

Calls

4 calls:

434.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
180.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
178.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
34.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2763 to 2125 computations (23.1% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5036	2783

prune111.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	121	4	125

Error

Counts

125 → 4

Compiler

Compiled 2191 to 1112 computations (49.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
3.4b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
4.8b	(-.f64 (exp.f64 b) (exp.f64 a))
7.9b	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

rewrite177.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
10×	`add-cube-cbrt_binary64` `distribute-lft-out_binary64`
9×	`associate--l+_binary64`
8×	`log-div_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
7×	`log-pow_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-exp-log_binary64` `add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `add-cbrt-cube_binary64`
3×	`associate--r+_binary64`
2×	`rem-log-exp_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `sum-cubes_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

4 → 86

Calls

4 calls:

20.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
11.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
5.0ms	(-.f64 (exp.f64 b) (exp.f64 a))
5.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))

Compiler

Compiled 3323 to 1568 computations (52.8% saved)

series2.4s (27.3%)

Error

Counts

4 → 44

Calls

4 calls:

1.2s	(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
706.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
311.0ms	(log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
50.0ms	(-.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 6294 to 4248 computations (32.5% saved)

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	5660
1	4971	5660

prune236.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Error

Counts

134 → 4

Compiler

Compiled 5309 to 2777 computations (47.7% saved)

regimes366.0ms (4.2%)

Accuracy

Total 0.5b remaining (41.5%)

Threshold costs 0.5b (41.5%)

Compiler

Compiled 3887 to 3024 computations (22.2% saved)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	47
1	23	47

Compiler

Compiled 60 to 44 computations (26.7% saved)

end0.0ms (0%)

sample2.7s (30.5%)

Algorithm

1×

intervals

Results

920.0ms	1984×	body	1024	valid
236.0ms	989×	body	512	valid
183.0ms	4327×	body	128	valid
125.0ms	202×	body	2048	valid
60.0ms	498×	body	256	valid
5.0ms	133×	body	128	overflowed

Compiler

Compiled 575 to 450 computations (21.7% saved)

Details

analyze374.0ms (4.3%)

sample80.0ms (0.9%)

simplify7.0ms (0.1%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite42.0ms (0.5%)

series241.0ms (2.8%)

simplify103.0ms (1.2%)

prune43.0ms (0.5%)

localize16.0ms (0.2%)

rewrite188.0ms (2.2%)

series253.0ms (2.9%)

simplify61.0ms (0.7%)

prune185.0ms (2.1%)

localize8.0ms (0.1%)

rewrite80.0ms (0.9%)

series885.0ms (10.2%)

simplify74.0ms (0.8%)

prune111.0ms (1.3%)

localize16.0ms (0.2%)

rewrite177.0ms (2%)

series2.4s (27.3%)

simplify99.0ms (1.1%)

prune236.0ms (2.7%)

regimes366.0ms (4.2%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample2.7s (30.5%)

Profiling