Details

analyze1.7s (12.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5144	812
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample95.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	285×	body	128	invalid
14.0ms	256×	body	128	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify474.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (469.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune3.0ms (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

5.3b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(+.f64 a (*.f64 b c))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
7.9b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite110.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

14×	`associate-*l/_binary64_14002`
11×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095`
9×	`add-sqr-sqrt_binary64_14081`
7×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `flip3-+_binary64_14062` `flip-+_binary64_14033`
6×	`associate-r_binary64_13999`
4×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `associate-l_binary64_14000` `frac-sub_binary64_14068`
2×	`*-commutative_binary64_13990` `sum-log_binary64_14150` `diff-log_binary64_14151`
1×	`unswap-sqr_binary64_14027` `+-commutative_binary64_13989` `flip3--_binary64_14063` `sub-neg_binary64_14052` `flip--_binary64_14034` `cancel-sign-sub-inv_binary64_14025` `associate--l+_binary64_13996`

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
3.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 2191 to 484 computations (77.9% saved)

series1.5s (10.8%)

Error

0.8b

Counts

4 → 108

Calls

4 calls:

800.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
437.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
130.0ms	(.f64 (+.f64 a (.f64 b c)) c)
81.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 5014 to 3680 computations (26.6% saved)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4981	2999
1	4981	2999

prune159.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	169	8	177
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	169	9	178

Error

0.7b

Counts

178 → 9

Compiler

Compiled 3926 to 855 computations (78.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
0.0b	(+.f64 a (*.f64 b c))
5.3b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite92.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

13×	`add-log-exp_binary64_14098`
9×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
7×	`flip3-+_binary64_14062` `flip-+_binary64_14033`
6×	`associate-*l/_binary64_14002`
5×	`add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
4×	`frac-sub_binary64_14068`
3×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `associate-l_binary64_14000` `sum-log_binary64_14150`
2×	`+-commutative_binary64_13989` `diff-log_binary64_14151`
1×	`associate-r_binary64_13999` `*-commutative_binary64_13990` `flip3--_binary64_14063` `sub-neg_binary64_14052` `flip--_binary64_14034` `cancel-sign-sub-inv_binary64_14025` `associate--l+_binary64_13996`

Counts

4 → 60

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 1973 to 397 computations (79.9% saved)

series1.4s (9.6%)

Error

0.7b

Counts

4 → 114

Calls

4 calls:

819.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
222.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
143.0ms	(+.f64 (.f64 x y) (.f64 z t))
87.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 5201 to 3720 computations (28.5% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5884	2950

prune142.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	175	8	183

Error

0.7b

Counts

183 → 8

Compiler

Compiled 3806 to 765 computations (79.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
5.3b	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (cbrt.f64 (+.f64 a (.f64 b c)))) (*.f64 i c))

rewrite166.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

60×	`cbrt-div_binary64_14091`
40×	`associate-*l/_binary64_14002`
30×	`flip3-+_binary64_14062` `flip-+_binary64_14033`
28×	`frac-times_binary64_14069`
25×	`pow1_binary64_14120` `add-exp-log_binary64_14097`
17×	`add-cbrt-cube_binary64_14095`
15×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
9×	`cbrt-prod_binary64_14090`
8×	`associate-*r/_binary64_14001`
7×	`add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
4×	`add-log-exp_binary64_14098`
3×	`pow1/3_binary64_14141`
1×	`associate-l_binary64_14000` `associate-r_binary64_13999` `*-commutative_binary64_13990`

Counts

4 → 93

Calls

4 calls:

25.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (cbrt.f64 (+.f64 a (.f64 b c)))) (*.f64 i c))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))

Compiler

Compiled 4840 to 825 computations (83% saved)

series817.0ms (5.8%)

Error

0.7b

Counts

4 → 66

Calls

4 calls:

241.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (cbrt.f64 (+.f64 a (.f64 b c)))) (*.f64 i c))
174.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
168.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
163.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))

Compiler

Compiled 6599 to 4164 computations (36.9% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	3258
1	4981	3258

prune181.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	159	8	167

Error

0.7b

Counts

167 → 8

Compiler

Compiled 6331 to 1330 computations (79% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.8b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
5.3b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite92.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

9×	`pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `cbrt-prod_binary64_14090`
8×	`add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
6×	`cbrt-div_binary64_14091`
4×	`add-log-exp_binary64_14098` `flip3-+_binary64_14062` `flip-+_binary64_14033`
3×	`pow-prod-down_binary64_14130` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `associate-l_binary64_14000` `pow1/3_binary64_14141`
2×	`associate-*l/_binary64_14002`
1×	`associate-r_binary64_13999` `*-commutative_binary64_13990`

Counts

4 → 59

Calls

4 calls:

7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 2838 to 404 computations (85.8% saved)

series1.3s (9.2%)

Error

0.7b

Counts

4 → 93

Calls

4 calls:

318.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
314.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
309.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
238.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

Compiler

Compiled 12242 to 6706 computations (45.2% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5086	3284

prune166.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	152	8	160

Error

0.7b

Counts

160 → 8

Compiler

Compiled 6820 to 1160 computations (83% saved)

regimes1.7s (12.1%)

Accuracy

Total 1.4b remaining (58.5%)

Threshold costs 0b (0%)

Compiler

Compiled 20925 to 15841 computations (24.3% saved)

bsearch136.0ms (1%)

Steps

Iters	Range		Point
7	1.4743139959643674e+41	5.2270810133503597e+42	2.4408878131790536e+41
9	-8.569312418041775e+124	-2.4411031488599145e+118	-2.484056664408104e+118

Compiler

Compiled 1 to 8 computations (-700% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	160	96
1	160	96

Compiler

Compiled 260 to 136 computations (47.7% saved)

end0.0ms (0%)

sample3.5s (24.9%)

Algorithm

1×

intervals

Results

472.0ms	8000×	body	128	valid
442.0ms	7270×	body	128	invalid

Compiler

Compiled 1437 to 1082 computations (24.7% saved)

Details

analyze1.7s (12.1%)

sample95.0ms (0.7%)

simplify474.0ms (3.4%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite110.0ms (0.8%)

series1.5s (10.8%)

simplify75.0ms (0.5%)

prune159.0ms (1.1%)

localize14.0ms (0.1%)

rewrite92.0ms (0.6%)

series1.4s (9.6%)

simplify54.0ms (0.4%)

prune142.0ms (1%)

localize17.0ms (0.1%)

rewrite166.0ms (1.2%)

series817.0ms (5.8%)

simplify90.0ms (0.6%)

prune181.0ms (1.3%)

localize21.0ms (0.1%)

rewrite92.0ms (0.7%)

series1.3s (9.2%)

simplify55.0ms (0.4%)

prune166.0ms (1.2%)

regimes1.7s (12.1%)

bsearch136.0ms (1%)

simplify30.0ms (0.2%)

end0.0ms (0%)

sample3.5s (24.9%)

Profiling