Details

analyze1.4s (27.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	304
1	863	304
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample37.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	119×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 41 to 37 computations (9.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
4.7b	(.f64 (.f64 a z) b)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_14098`
10×	`sum-log_binary64_14150`
9×	`add-cbrt-cube_binary64_14095` `pow1_binary64_14120` `add-exp-log_binary64_14097`
5×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
3×	`associate-r_binary64_13999` `flip-+_binary64_14033` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `pow-prod-down_binary64_14130` `+-commutative_binary64_13989` `flip3-+_binary64_14062`
2×	`associate-+l+_binary64_13992`
1×	`-commutative_binary64_13990` `associate-l*_binary64_14000`

Counts

4 → 56

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.0ms	(.f64 (.f64 a z) b)
3.0ms	(+.f64 x (*.f64 y z))

series200.0ms (4%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
49.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
27.0ms	(.f64 (.f64 a z) b)
24.0ms	(+.f64 x (*.f64 y z))

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4987	1027
1	4987	1027

prune58.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Error

0.0b

Counts

70 → 4

Compiler

Compiled 1392 to 257 computations (81.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
2.9b	(.f64 a (+.f64 t (.f64 z b)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_14098`
8×	`*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
6×	`add-cbrt-cube_binary64_14095` `add-cube-cbrt_binary64_14094` `pow1_binary64_14120` `add-exp-log_binary64_14097`
5×	`sum-log_binary64_14150`
4×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
3×	`associate-r_binary64_13999` `+-commutative_binary64_13989` `associate-+r+_binary64_13991` `associate-l_binary64_14000`
2×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `associate-*r/_binary64_14001`
1×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `distribute-lft-out_binary64_14010` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
5.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

series234.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
57.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
54.0ms	(.f64 a (+.f64 t (.f64 z b)))
23.0ms	(+.f64 t (*.f64 z b))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5011	1193

prune56.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Error

0.0b

Counts

76 → 5

Compiler

Compiled 1394 to 302 computations (78.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.2b	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
2.2b	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_14120` `add-exp-log_binary64_14097`
13×	`add-sqr-sqrt_binary64_14081`
11×	`add-cbrt-cube_binary64_14095`
10×	`cbrt-prod_binary64_14090`
9×	`add-cube-cbrt_binary64_14094` `prod-exp_binary64_14108` `*-un-lft-identity_binary64_14059` `cbrt-unprod_binary64_14092` `pow-prod-down_binary64_14130`
7×	`associate-r_binary64_13999`
4×	`add-log-exp_binary64_14098` `associate-l/_binary64_14002` `associate-l*_binary64_14000`
2×	`flip-+_binary64_14033` `-commutative_binary64_13990` `unswap-sqr_binary64_14027` `associate-r/_binary64_14001` `pow1/3_binary64_14141` `flip3-+_binary64_14062`

Counts

4 → 70

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
7.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series391.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
103.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
85.0ms	(cbrt.f64 a)
81.0ms	(cbrt.f64 a)

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5035	906

prune66.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Error

0.0b

Counts

87 → 5

Compiler

Compiled 1862 to 440 computations (76.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (cbrt.f64 (pow.f64 (.f64 a (+.f64 t (*.f64 z b))) 3))))
0.3b	(pow.f64 (.f64 a (+.f64 t (.f64 z b))) 3)
2.9b	(.f64 a (+.f64 t (.f64 z b)))
35.6b	(cbrt.f64 (pow.f64 (.f64 a (+.f64 t (.f64 z b))) 3))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
9×	`add-log-exp_binary64_14098` `add-cbrt-cube_binary64_14095` `pow1_binary64_14120` `add-exp-log_binary64_14097`
8×	`add-cube-cbrt_binary64_14094` `cbrt-prod_binary64_14090`
6×	`associate-*r/_binary64_14001`
4×	`flip-+_binary64_14033` `cube-div_binary64_14088` `flip3-+_binary64_14062`
3×	`sum-log_binary64_14150` `associate-r_binary64_13999` `pow-unpow_binary64_14136` `associate-l_binary64_14000`
2×	`pow-pow_binary64_14131` `prod-exp_binary64_14108` `cube-prod_binary64_14087` `sqr-pow_binary64_14031` `cbrt-unprod_binary64_14092` `unpow-prod-down_binary64_14138` `rem-cube-cbrt_binary64_14082` `cube-mult_binary64_14089` `cbrt-div_binary64_14091` `unpow3_binary64_14125` `pow-exp_binary64_14127` `pow-prod-down_binary64_14130`
1×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `*-commutative_binary64_13990` `distribute-lft-out_binary64_14010` `unswap-sqr_binary64_14027` `pow1/3_binary64_14141` `+-commutative_binary64_13989` `rem-cbrt-cube_binary64_14083` `pow-to-exp_binary64_14128` `associate-+r+_binary64_13991`

Counts

4 → 79

Calls

4 calls:

8.0ms	(+.f64 x (+.f64 (.f64 y z) (cbrt.f64 (pow.f64 (.f64 a (+.f64 t (*.f64 z b))) 3))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(pow.f64 (.f64 a (+.f64 t (.f64 z b))) 3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 a (+.f64 t (.f64 z b))) 3))

series398.0ms (8%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(pow.f64 (.f64 a (+.f64 t (.f64 z b))) 3)
125.0ms	(+.f64 x (+.f64 (.f64 y z) (cbrt.f64 (pow.f64 (.f64 a (+.f64 t (*.f64 z b))) 3))))
74.0ms	(cbrt.f64 (pow.f64 (.f64 a (+.f64 t (.f64 z b))) 3))
53.0ms	(.f64 a (+.f64 t (.f64 z b)))

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	6162	1519

prune71.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	91	5	96

Error

0.0b

Counts

96 → 5

Compiler

Compiled 1918 to 572 computations (70.2% saved)

regimes273.0ms (5.5%)

Accuracy

Total 0.2b remaining (93.1%)

Threshold costs 0.2b (93.1%)

Compiler

Compiled 2653 to 2051 computations (22.7% saved)

bsearch66.0ms (1.3%)

Steps

Iters	Range		Point
10	9.770303097575905e-49	9.937409925366527e-36	1.052357428516616e-41
9	-15603858.648399733	-3.957574992667016	-2959.4217354412567

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	55
1	41	55

end0.0ms (0%)

sample1.3s (26.9%)

Algorithm

1×

intervals

Results

362.0ms	8000×	body	128	valid
179.0ms	3770×	body	128	invalid

Compiler

Compiled 473 to 348 computations (26.4% saved)

Details

analyze1.4s (27.8%)

sample37.0ms (0.7%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite27.0ms (0.5%)

series200.0ms (4%)

simplify73.0ms (1.5%)

prune58.0ms (1.2%)

localize10.0ms (0.2%)

rewrite24.0ms (0.5%)

series234.0ms (4.7%)

simplify51.0ms (1%)

prune56.0ms (1.1%)

localize16.0ms (0.3%)

rewrite28.0ms (0.6%)

series391.0ms (7.8%)

simplify72.0ms (1.4%)

prune66.0ms (1.3%)

localize12.0ms (0.2%)

rewrite33.0ms (0.7%)

series398.0ms (8%)

simplify42.0ms (0.8%)

prune71.0ms (1.4%)

regimes273.0ms (5.5%)

bsearch66.0ms (1.3%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (26.9%)

Profiling