Details

analyze2.1s (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	112
1	4937	112
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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample62.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	109×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify686.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (676.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune8.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.2b	(/.f64 y (*.f64 z 3))
0.5b	(.f64 (.f64 z 3) y)
5.9b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite261.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
16×	`*-un-lft-identity_binary64_18833`
11×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
9×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `times-frac_binary64_18839`
8×	`associate-+l+_binary64_18766`
7×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `cancel-sign-sub-inv_binary64_18799`
6×	`associate-/l*_binary64_18778`
5×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
3×	`div-inv_binary64_18830` `pow-prod-down_binary64_18904` `associate-r_binary64_18773`
2×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-/r*_binary64_18777` `sum-log_binary64_18924` `frac-add_binary64_18841` `distribute-lft-out_binary64_18784`
1×	`associate-l_binary64_18774` `*-commutative_binary64_18764` `diff-log_binary64_18925` `flip3--_binary64_18837` `flip--_binary64_18808` `flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-lft-out--_binary64_18785` `associate-+l-_binary64_18768` `sub-neg_binary64_18826` `+-commutative_binary64_18763`

Counts

4 → 87

Calls

4 calls:

26.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
11.0ms	(/.f64 t (.f64 (.f64 z 3) y))
10.0ms	(.f64 (.f64 z 3) y)
8.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1982 to 1218 computations (38.5% saved)

series1.2s (7.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

674.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
228.0ms	(/.f64 t (.f64 (.f64 z 3) y))
106.0ms	(/.f64 y (*.f64 z 3))
98.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1663 to 1240 computations (25.4% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4969	1888
1	4969	1888

prune229.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	132	5	137

Error

0.0b

Counts

137 → 5

Compiler

Compiled 2360 to 1278 computations (45.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
0.2b	(/.f64 y (*.f64 z 3))
0.3b	(/.f64 t (*.f64 z 3))
4.0b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite310.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_18839`
31×	`*-un-lft-identity_binary64_18833`
26×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
23×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
13×	`associate-/l*_binary64_18778`
9×	`div-exp_binary64_18884` `add-log-exp_binary64_18872` `cbrt-undiv_binary64_18867`
8×	`div-inv_binary64_18830` `associate-+l+_binary64_18766`
7×	`cancel-sign-sub-inv_binary64_18799`
5×	`associate-/r*_binary64_18777`
4×	`pow1_binary64_18894`
3×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `frac-2neg_binary64_18844` `clear-num_binary64_18832`
2×	`sum-log_binary64_18924` `frac-add_binary64_18841` `distribute-lft-out_binary64_18784`
1×	`associate-/l/_binary64_18780` `diff-log_binary64_18925` `flip3--_binary64_18837` `flip--_binary64_18808` `flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-lft-out--_binary64_18785` `associate-+l-_binary64_18768` `sub-neg_binary64_18826` `+-commutative_binary64_18763`

Counts

4 → 115

Calls

4 calls:

35.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
12.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
8.0ms	(/.f64 y (*.f64 z 3))
8.0ms	(/.f64 t (*.f64 z 3))

Compiler

Compiled 2647 to 1585 computations (40.1% saved)

series1.2s (7.9%)

Error

Counts

4 → 48

Calls

4 calls:

662.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
262.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
116.0ms	(/.f64 y (*.f64 z 3))
109.0ms	(/.f64 t (*.f64 z 3))

Compiler

Compiled 1663 to 1241 computations (25.4% saved)

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4973	2312
1	4973	2312

prune250.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	163	5	168

Error

Counts

168 → 5

Compiler

Compiled 2912 to 1527 computations (47.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (.f64 1/3 (/.f64 t z)) y))
0.2b	(/.f64 y (*.f64 z 3))
0.3b	(*.f64 1/3 (/.f64 t z))
4.0b	(/.f64 (*.f64 1/3 (/.f64 t z)) y)

rewrite253.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
19×	`times-frac_binary64_18839`
18×	`add-cube-cbrt_binary64_18868`
13×	`associate-r_binary64_18773`
9×	`add-log-exp_binary64_18872`
8×	`associate-+l+_binary64_18766`
7×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `cancel-sign-sub-inv_binary64_18799`
6×	`pow1_binary64_18894`
5×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866`
4×	`div-inv_binary64_18830` `associate-/l_binary64_18778` `associate-/r_binary64_18777`
3×	`associate-l_binary64_18774`
2×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-*r/_binary64_18775` `unswap-sqr_binary64_18801` `sum-log_binary64_18924` `frac-add_binary64_18841` `distribute-lft-out_binary64_18784`
1×	`associate-/l/_binary64_18780` `pow-prod-down_binary64_18904` `*-commutative_binary64_18764` `diff-log_binary64_18925` `flip3--_binary64_18837` `flip--_binary64_18808` `flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-lft-out--_binary64_18785` `associate-+l-_binary64_18768` `sub-neg_binary64_18826` `+-commutative_binary64_18763`

Counts

4 → 102

Calls

4 calls:

22.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (.f64 1/3 (/.f64 t z)) y))
17.0ms	(*.f64 1/3 (/.f64 t z))
11.0ms	(/.f64 (*.f64 1/3 (/.f64 t z)) y)
7.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2318 to 1287 computations (44.5% saved)

series1.1s (7.3%)

Error

Counts

4 → 48

Calls

4 calls:

614.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (.f64 1/3 (/.f64 t z)) y))
225.0ms	(/.f64 (*.f64 1/3 (/.f64 t z)) y)
110.0ms	(/.f64 y (*.f64 z 3))
101.0ms	(*.f64 1/3 (/.f64 t z))

Compiler

Compiled 1663 to 1235 computations (25.7% saved)

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4971	1924
1	4971	1924

prune215.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	150	5	155

Error

Counts

155 → 5

Compiler

Compiled 2568 to 1300 computations (49.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
0.2b	(/.f64 (/.f64 y z) 3)
0.5b	(.f64 (.f64 z 3) y)
5.9b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite464.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

144×	`times-frac_binary64_18839`
89×	`*-un-lft-identity_binary64_18833`
84×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
44×	`associate-+l+_binary64_18766`
43×	`cancel-sign-sub-inv_binary64_18799`
23×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
16×	`associate-/l*_binary64_18778`
10×	`div-inv_binary64_18830`
9×	`pow1_binary64_18894` `add-log-exp_binary64_18872`
6×	`prod-exp_binary64_18882` `div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `cbrt-unprod_binary64_18866`
4×	`associate-/r*_binary64_18777`
3×	`pow-prod-down_binary64_18904` `associate-r_binary64_18773`
2×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `sum-log_binary64_18924` `frac-add_binary64_18841` `distribute-lft-out_binary64_18784`
1×	`associate-l_binary64_18774` `*-commutative_binary64_18764` `associate-/l/_binary64_18780` `diff-log_binary64_18925` `flip3--_binary64_18837` `flip--_binary64_18808` `flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-lft-out--_binary64_18785` `associate-+l-_binary64_18768` `sub-neg_binary64_18826` `+-commutative_binary64_18763`

Counts

4 → 172

Calls

4 calls:

56.0ms	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
12.0ms	(/.f64 (/.f64 y z) 3)
10.0ms	(/.f64 t (.f64 (.f64 z 3) y))
9.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 4298 to 2372 computations (44.8% saved)

series1.1s (7.4%)

Error

Counts

4 → 48

Calls

4 calls:

636.0ms	(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (.f64 (.f64 z 3) y)))
232.0ms	(/.f64 t (.f64 (.f64 z 3) y))
109.0ms	(/.f64 (/.f64 y z) 3)
94.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1663 to 1225 computations (26.3% saved)

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4983	4074
1	4983	4074

prune339.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	220	5	225

Error

Counts

225 → 5

Compiler

Compiled 4345 to 2216 computations (49% saved)

regimes1.2s (7.8%)

Accuracy

Total 0.7b remaining (99.6%)

Threshold costs 0.7b (99.6%)

Compiler

Compiled 5846 to 4948 computations (15.4% saved)

bsearch92.0ms (0.6%)

Steps

Iters	Range		Point
9	1.4909060877055856e-12	0.0005685957676874055	4.047534560469752e-06
8	-8.813051798189025e-135	-3.100106384835857e-137	-2.5554260518788247e-136

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	72
1	70	72

end0.0ms (0%)

sample3.4s (22.6%)

Algorithm

1×

intervals

Results

653.0ms	8000×	body	128	valid
257.0ms	3194×	body	128	invalid

Compiler

Compiled 1047 to 878 computations (16.1% saved)

Details

analyze2.1s (14%)

sample62.0ms (0.4%)

simplify686.0ms (4.5%)

prune8.0ms (0.1%)

localize19.0ms (0.1%)

rewrite261.0ms (1.7%)

series1.2s (7.8%)

simplify113.0ms (0.7%)

prune229.0ms (1.5%)

localize23.0ms (0.1%)

rewrite310.0ms (2%)

series1.2s (7.9%)

simplify122.0ms (0.8%)

prune250.0ms (1.6%)

localize21.0ms (0.1%)

rewrite253.0ms (1.7%)

series1.1s (7.3%)

simplify145.0ms (1%)

prune215.0ms (1.4%)

localize20.0ms (0.1%)

rewrite464.0ms (3.1%)

series1.1s (7.4%)

simplify175.0ms (1.2%)

prune339.0ms (2.2%)

regimes1.2s (7.8%)

bsearch92.0ms (0.6%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.4s (22.6%)

Profiling