Details

analyze493.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample49.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	185×	body	128	valid
10.0ms	18×	body	1024	valid
9.0ms	32×	body	512	valid
3.0ms	21×	body	256	valid
1.0ms	7×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5003	26

prune6.0ms (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

8.9b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
4.2b	(log.f64 (-.f64 1 y))

rewrite192.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

8.6b

Rules

37×	`add-sqr-sqrt_binary64_782`
31×	`*-un-lft-identity_binary64_760`
24×	`log-prod_binary64_846`
14×	`add-cube-cbrt_binary64_795` `associate-l_binary64_701`
11×	`pow1_binary64_821` `difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
8×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
6×	`distribute-lft-out--_binary64_712`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-*l/_binary64_703`
3×	`log-pow_binary64_849` `cancel-sign-sub-inv_binary64_726`
2×	`log-div_binary64_847` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `difference-of-sqr-1_binary64_730` `*-commutative_binary64_691` `diff-log_binary64_852`
1×	`rem-log-exp_binary64_801` `sum-log_binary64_851` `sub-neg_binary64_753` `associate--l+_binary64_697`

Counts

4 → 103

Calls

4 calls:

12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2639 to 1790 computations (32.2% saved)

series1.3s (9.3%)

Error

0.2b

Counts

4 → 51

Calls

4 calls:

879.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
180.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
155.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
25.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2547 to 1959 computations (23.1% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5368	2733

prune197.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	7	155

Error

0.0b

Counts

155 → 7

Compiler

Compiled 3523 to 2308 computations (34.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 1/2 z))) (*.f64 y z))))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 1/2 z))) (*.f64 y z)))) t)
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
9.3b	(.f64 (.f64 y y) (-.f64 1/2 (*.f64 1/2 z)))

rewrite229.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-log-exp_binary64_799`
21×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760`
12×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `log-prod_binary64_846`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`sum-log_binary64_851`
8×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-l_binary64_701`
7×	`associate-r_binary64_700`
6×	`associate-*l/_binary64_703` `diff-log_binary64_852` `associate-+l+_binary64_693`
5×	`cancel-sign-sub-inv_binary64_726` `flip3--_binary64_764` `flip--_binary64_735`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-+r-_binary64_694` `frac-add_binary64_768`
3×	`sub-neg_binary64_753` `difference-of-squares_binary64_729` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`unswap-sqr_binary64_728` `associate-r/_binary64_702` `-commutative_binary64_691` `distribute-lft-out--_binary64_712`
1×	`difference-of-sqr-1_binary64_730` `log-pow_binary64_849` `associate--l-_binary64_698` `associate--l+_binary64_697` `associate-+r+_binary64_692` `+-commutative_binary64_690`

Counts

4 → 102

Calls

4 calls:

20.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 1/2 z))) (*.f64 y z)))) t)
16.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 1/2 z))) (*.f64 y z))))
8.0ms	(.f64 (.f64 y y) (-.f64 1/2 (*.f64 1/2 z)))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))

Compiler

Compiled 3897 to 2090 computations (46.4% saved)

series1.7s (12.1%)

Error

0.0b

Counts

4 → 64

Calls

4 calls:

781.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 1/2 z))) (*.f64 y z)))) t)
583.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (+.f64 y (-.f64 (.f64 (.f64 y y) (-.f64 1/2 (.f64 1/2 z))) (*.f64 y z))))
169.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
102.0ms	(.f64 (.f64 y y) (-.f64 1/2 (*.f64 1/2 z)))

Compiler

Compiled 3657 to 2573 computations (29.6% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5093	3967

prune211.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	166	7	173

Error

0.0b

Counts

173 → 7

Compiler

Compiled 4691 to 2534 computations (46% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite124.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2765 to 1328 computations (52% saved)

series342.0ms (2.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

94.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
79.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)
74.0ms	(cbrt.f64 y)

Compiler

Compiled 1275 to 952 computations (25.3% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune127.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Error

0.0b

Counts

92 → 6

Compiler

Compiled 3186 to 1697 computations (46.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))
0.2b	(+.f64 (.f64 (log.f64 (pow.f64 y 2/3)) (-.f64 x 1)) (+.f64 (.f64 (+.f64 (neg.f64 z) 1) (+.f64 y (.f64 1/2 (.f64 y y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))))
0.6b	(cbrt.f64 y)
6.0b	(pow.f64 y 2/3)

rewrite496.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

68×	`frac-add_binary64_768`
44×	`flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734`
42×	`associate-*l/_binary64_703`
18×	`flip3--_binary64_764` `flip--_binary64_735`
17×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
16×	`frac-times_binary64_770`
15×	`add-cube-cbrt_binary64_795`
12×	`log-prod_binary64_846`
10×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
9×	`add-log-exp_binary64_799` `cbrt-prod_binary64_791`
8×	`pow1_binary64_821` `associate-+l+_binary64_693`
7×	`add-exp-log_binary64_798`
6×	`add-cbrt-cube_binary64_796` `cancel-sign-sub-inv_binary64_726`
5×	`associate-r_binary64_700`
4×	`associate-l_binary64_701`
3×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `sum-log_binary64_851`
2×	`pow1/3_binary64_842` `sub-neg_binary64_753` `log-pow_binary64_849`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `associate-+r+_binary64_692` `+-commutative_binary64_690` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `*-commutative_binary64_691`

Counts

4 → 120

Calls

4 calls:

22.0ms	(+.f64 (.f64 (log.f64 (pow.f64 y 2/3)) (-.f64 x 1)) (+.f64 (.f64 (+.f64 (neg.f64 z) 1) (+.f64 y (.f64 1/2 (.f64 y y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))))
7.0ms	(*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))
2.0ms	(pow.f64 y 2/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 8650 to 5130 computations (40.7% saved)

series2.2s (16%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

1.7s	(+.f64 (.f64 (log.f64 (pow.f64 y 2/3)) (-.f64 x 1)) (+.f64 (.f64 (+.f64 (neg.f64 z) 1) (+.f64 y (.f64 1/2 (.f64 y y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))))
313.0ms	(*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))
80.0ms	(cbrt.f64 y)
79.0ms	(pow.f64 y 2/3)

Compiler

Compiled 3064 to 2397 computations (21.8% saved)

simplify144.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4913	7885
1	4913	7885

prune373.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	155	6	161

Error

0.0b

Counts

161 → 6

Compiler

Compiled 7725 to 4418 computations (42.8% saved)

regimes1.8s (12.7%)

Accuracy

Total 0.3b remaining (92.9%)

Threshold costs 0.3b (92.9%)

Compiler

Compiled 21931 to 17969 computations (18.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	36
1	234	36

end0.0ms (0%)

sample3.6s (25.4%)

Algorithm

1×

intervals

Results

472.0ms	6122×	body	128	valid
246.0ms	485×	body	1024	valid
228.0ms	790×	body	512	valid
101.0ms	603×	body	256	valid
21.0ms	235×	body	128	nan
2.0ms	28×	body	128	invalid

Compiler

Compiled 2701 to 2213 computations (18.1% saved)

Details

analyze493.0ms (3.5%)

sample49.0ms (0.3%)

simplify131.0ms (0.9%)

prune6.0ms (0%)

localize13.0ms (0.1%)

rewrite192.0ms (1.4%)

series1.3s (9.3%)

simplify56.0ms (0.4%)

prune197.0ms (1.4%)

localize16.0ms (0.1%)

rewrite229.0ms (1.6%)

series1.7s (12.1%)

simplify88.0ms (0.6%)

prune211.0ms (1.5%)

localize24.0ms (0.2%)

rewrite124.0ms (0.9%)

series342.0ms (2.4%)

simplify77.0ms (0.6%)

prune127.0ms (0.9%)

localize25.0ms (0.2%)

rewrite496.0ms (3.5%)

series2.2s (16%)

simplify144.0ms (1%)

prune373.0ms (2.7%)

regimes1.8s (12.7%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.6s (25.4%)

Profiling