Details

analyze322.0ms (3.1%)

Algorithm

1×

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)

sample46.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	199×	body	128	valid
7.0ms	25×	body	512	valid
7.0ms	13×	body	1024	valid
3.0ms	18×	body	256	valid
1.0ms	11×	body	128	nan
1.0ms	1×	body	2048	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify225.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5003	26

prune3.0ms (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

7.4b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
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)
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
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))
7.7b	(log.f64 (-.f64 1 y))

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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

Counts

4 → 103

Calls

8 calls:

14.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
12.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))
0.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))

series1.2s (11.5%)

Counts

4 → 49

Calls

4 calls:

925.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
171.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
91.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
26.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1508 to 1314 computations (12.9% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5368	2709

prune285.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	11	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	11	153

Error

0.0b

Counts

153 → 11

Compiler

Compiled 3657 to 2424 computations (33.7% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))))
0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.0b	(-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y)))))
0.0b	(+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))
0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.0b	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_782`
21×	`*-un-lft-identity_binary64_760`
18×	`associate-l_binary64_701`
16×	`pow1_binary64_821`
15×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796`
13×	`associate-r_binary64_700`
8×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
7×	`flip--_binary64_735` `flip3--_binary64_764`
6×	`prod-exp_binary64_809` `cancel-sign-sub-inv_binary64_726` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `log-prod_binary64_846`
4×	`unswap-sqr_binary64_728` `associate-l/_binary64_703` `add-log-exp_binary64_799` `difference-of-squares_binary64_729` `frac-times_binary64_770` `associate-r/_binary64_702` `*-commutative_binary64_691`
2×	`difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `sub-neg_binary64_753`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `log-pow_binary64_849`

Counts

4 → 110

Calls

8 calls:

17.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
11.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
9.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
5.0ms	(*.f64 1/3 y)
0.0ms	(+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))

series444.0ms (4.2%)

Counts

4 → 34

Calls

4 calls:

195.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
173.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
57.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
19.0ms	(*.f64 1/3 y)

Compiler

Compiled 1694 to 1415 computations (16.5% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5053	3145

prune314.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	144	11	155

Error

0.0b

Counts

155 → 11

Compiler

Compiled 5654 to 3756 computations (33.6% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.0b	(+.f64 t (+.f64 (.f64 y z) (.f64 z (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
0.0b	(+.f64 (.f64 y z) (.f64 z (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))
0.0b	(+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)
0.3b	(*.f64 1/3 y)
5.4b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_782`
20×	`pow1_binary64_821`
19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
16×	`-un-lft-identity_binary64_760` `associate-l*_binary64_701`
13×	`add-cube-cbrt_binary64_795`
11×	`associate-r_binary64_700`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
7×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
6×	`log-prod_binary64_846`
4×	`add-log-exp_binary64_799` `associate-r/_binary64_702` `-commutative_binary64_691`
3×	`unswap-sqr_binary64_728`
2×	`associate-*l/_binary64_703` `difference-of-squares_binary64_729`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `difference-of-sqr-1_binary64_730` `log-pow_binary64_849` `distribute-lft-out--_binary64_712` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 94

Calls

8 calls:

12.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)
4.0ms	(*.f64 1/3 y)
0.0ms	(+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))

series351.0ms (3.3%)

Counts

4 → 24

Calls

4 calls:

170.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
142.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
20.0ms	(*.f64 1/3 y)
19.0ms	(*.f64 1/3 y)

Compiler

Compiled 1546 to 1142 computations (26.1% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4979	1347
1	4979	1347

prune241.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	119	10	129

Error

0.0b

Counts

129 → 10

Compiler

Compiled 5133 to 2901 computations (43.5% saved)

localize27.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(log.f64 (cbrt.f64 y))
0.0b	(+.f64 (.f64 y z) (.f64 z (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))))
0.0b	(+.f64 t (+.f64 (.f64 y z) (.f64 z (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
0.0b	(+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))
0.3b	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
5.4b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_846`
34×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
24×	`associate-+l+_binary64_693` `cbrt-prod_binary64_791`
19×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
12×	`associate-+r+_binary64_692`
8×	`associate-*l/_binary64_703`
6×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
4×	`frac-add_binary64_768` `associate-*r/_binary64_702` `flip--_binary64_735` `flip3--_binary64_764`
3×	`associate-l_binary64_701`
2×	`pow1/3_binary64_842` `flip3-+_binary64_763` `flip-+_binary64_734`
1×	`distribute-lft-out_binary64_711` `associate-r_binary64_700` `+-commutative_binary64_690` `sum-log_binary64_851` `*-commutative_binary64_691`

Counts

4 → 101

Calls

8 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
11.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))

series916.0ms (8.7%)

Counts

4 → 24

Calls

4 calls:

620.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
144.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
80.0ms	(cbrt.f64 y)
71.0ms	(cbrt.f64 y)

Compiler

Compiled 1997 to 1509 computations (24.4% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4943	1915
1	4943	1915

prune325.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	126	9	135

Error

0.0b

Counts

135 → 9

Compiler

Compiled 6218 to 3379 computations (45.7% saved)

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	885	3279
1	885	3279

regimes845.0ms (8%)

Compiler: Compiled 12812 to 10148 computations (20.8% saved)

bsearch0.0ms (0%)

regimes232.0ms (2.2%)

Compiler: Compiled 2311 to 2084 computations (9.8% saved)

bsearch0.0ms (0%)

regimes137.0ms (1.3%)

Compiler: Compiled 885 to 937 computations (-5.9% saved)

bsearch0.0ms (0%)

regimes95.0ms (0.9%)

Compiler: Compiled 362 to 500 computations (-38.1% saved)

bsearch0.0ms (0%)

regimes70.0ms (0.7%)

Compiler: Compiled 199 to 324 computations (-62.8% saved)

bsearch0.0ms (0%)

regimes64.0ms (0.6%)

Compiler: Compiled 129 to 259 computations (-100.8% saved)

bsearch0.0ms (0%)

regimes170.0ms (1.6%)

Compiler: Compiled 68 to 168 computations (-147.1% saved)

bsearch140.0ms (1.3%)

Steps

Iters	Range		Point
8	8.618562325252893e+70	2.2271184965139427e+74	1.2110646529640444e+73
9	-994476600028.0826	-6832.638771845805	-4935272682.862067

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes53.0ms (0.5%)

Compiler: Compiled 28 to 112 computations (-300% saved)

bsearch47.0ms (0.4%)

Steps

Iters	Range		Point
3	0.02623277249718345	0.035536061075252035	0.03464102882019671
8	-1698.9524738077375	-0.04390503629461093	-1.02292342243375

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes36.0ms (0.3%)

Accuracy

Total 0.2b remaining (94.4%)

Threshold costs 0.2b (94.4%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 164 to 141 computations (14% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	228	240
1	228	240

end0.0ms (0%)

sample3.3s (31.6%)

Algorithm

1×

intervals

Results

666.0ms	6103×	body	128	valid
252.0ms	507×	body	1024	valid
214.0ms	799×	body	512	valid
92.0ms	589×	body	256	valid
19.0ms	252×	body	128	nan
2.0ms	27×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 2310 to 1846 computations (20.1% saved)

Pareto

0.6023290347619822

Details

analyze322.0ms (3.1%)

sample46.0ms (0.4%)

simplify225.0ms (2.1%)

prune3.0ms (0%)

localize18.0ms (0.2%)

rewrite49.0ms (0.5%)

series1.2s (11.5%)

simplify61.0ms (0.6%)

prune285.0ms (2.7%)

localize22.0ms (0.2%)

rewrite54.0ms (0.5%)

series444.0ms (4.2%)

simplify86.0ms (0.8%)

prune314.0ms (3%)

localize21.0ms (0.2%)

rewrite44.0ms (0.4%)

series351.0ms (3.3%)

simplify60.0ms (0.6%)

prune241.0ms (2.3%)

localize27.0ms (0.3%)

rewrite51.0ms (0.5%)

series916.0ms (8.7%)

simplify55.0ms (0.5%)

prune325.0ms (3.1%)

simplify49.0ms (0.5%)

regimes845.0ms (8%)

bsearch0.0ms (0%)

regimes232.0ms (2.2%)

bsearch0.0ms (0%)

regimes137.0ms (1.3%)

bsearch0.0ms (0%)

regimes95.0ms (0.9%)

bsearch0.0ms (0%)

regimes70.0ms (0.7%)

bsearch0.0ms (0%)

regimes64.0ms (0.6%)

bsearch0.0ms (0%)

regimes170.0ms (1.6%)

bsearch140.0ms (1.3%)

regimes53.0ms (0.5%)

bsearch47.0ms (0.4%)

regimes36.0ms (0.3%)

bsearch9.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.3s (31.6%)

Profiling