Details

analyze1.1s (17.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	91
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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	57×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (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

4.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
5.4b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite77.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
10×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
9×	`add-cube-cbrt_binary64_11707`
6×	`cancel-sign-sub-inv_binary64_11638`
5×	`pow1_binary64_11733` `add-log-exp_binary64_11711` `associate-r_binary64_11612`
4×	`associate-*r/_binary64_11614` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
3×	`times-frac_binary64_11678` `associate-/r_binary64_11616` `associate-l*_binary64_11613`
2×	`prod-exp_binary64_11721` `div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647` `sub-neg_binary64_11665`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `associate-/l_binary64_11617` `pow-prod-down_binary64_11743` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `-commutative_binary64_11603` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `+-commutative_binary64_11602`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series592.0ms (9.7%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

267.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
190.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
101.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5049	1318

prune80.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Error

Counts

123 → 7

Compiler

Compiled 1441 to 307 computations (78.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
5.3b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite117.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_11694`
40×	`times-frac_binary64_11678`
38×	`*-un-lft-identity_binary64_11672`
34×	`associate-r_binary64_11612`
26×	`add-cube-cbrt_binary64_11707` `cbrt-prod_binary64_11703`
25×	`add-exp-log_binary64_11710`
18×	`add-cbrt-cube_binary64_11708`
8×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705`
7×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `associate-l_binary64_11613`
6×	`pow1_binary64_11733` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`
4×	`add-log-exp_binary64_11711`
3×	`pow1/3_binary64_11754`
2×	`div-inv_binary64_11669`
1×	`pow-prod-down_binary64_11743` `frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `*-commutative_binary64_11603`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2571 to 507 computations (80.3% saved)

series478.0ms (7.8%)

Error

Counts

4 → 27

Calls

4 calls:

238.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
75.0ms	(cbrt.f64 t)
75.0ms	(cbrt.f64 t)
73.0ms	(cbrt.f64 t)

Compiler

Compiled 1029 to 652 computations (36.6% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	1780
1	4963	1780

prune97.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Error

Counts

138 → 7

Compiler

Compiled 2450 to 675 computations (72.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t))
0.7b	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))
5.4b	(/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t)

rewrite74.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_11672`
12×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `times-frac_binary64_11678`
9×	`add-log-exp_binary64_11711`
5×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `distribute-lft-neg-in_binary64_11629` `distribute-rgt-out_binary64_11625` `associate-+r-_binary64_11606`
4×	`div-sub_binary64_11677` `associate-/l*_binary64_11617`
3×	`pow1_binary64_11733` `unsub-neg_binary64_11666` `neg-sub0_binary64_11667` `flip3-+_binary64_11675` `flip-+_binary64_11646` `associate-/r*_binary64_11616` `sum-log_binary64_11763`
2×	`associate-/l/_binary64_11619` `+-commutative_binary64_11602`
1×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `neg-log_binary64_11765` `distribute-lft-out_binary64_11623`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+.f64 x (/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t))
7.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))
7.0ms	(/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t)

Compiler

Compiled 1385 to 270 computations (80.5% saved)

series620.0ms (10.1%)

Error

Counts

3 → 57

Calls

3 calls:

274.0ms	(+.f64 x (/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t))
220.0ms	(/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t)
100.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 1511 to 881 computations (41.7% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4963	1511
1	4963	1511

prune67.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Error

Counts

128 → 7

Compiler

Compiled 1546 to 285 computations (81.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
0.0b	(*.f64 y (-.f64 z x))
5.5b	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))

rewrite95.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-exp-log_binary64_11710`
18×	`add-sqr-sqrt_binary64_11694` `associate-r_binary64_11612`
17×	`add-cbrt-cube_binary64_11708`
16×	`*-un-lft-identity_binary64_11672`
14×	`add-cube-cbrt_binary64_11707`
13×	`prod-exp_binary64_11721`
10×	`pow1_binary64_11733`
9×	`times-frac_binary64_11678`
7×	`cbrt-unprod_binary64_11705` `associate-*r/_binary64_11614`
6×	`cancel-sign-sub-inv_binary64_11638`
5×	`add-log-exp_binary64_11711`
4×	`pow-prod-down_binary64_11743` `div-exp_binary64_11723` `associate-l_binary64_11613` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
3×	`flip3--_binary64_11676` `flip--_binary64_11647`
2×	`1-exp_binary64_11716` `rec-exp_binary64_11722` `cbrt-undiv_binary64_11706` `frac-times_binary64_11682` `associate-l/_binary64_11615` `-commutative_binary64_11603` `sub-neg_binary64_11665`
1×	`un-div-inv_binary64_11670` `div-inv_binary64_11669` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `+-commutative_binary64_11602`

Counts

3 → 83

Calls

3 calls:

11.0ms	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))
7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))

Compiler

Compiled 1567 to 674 computations (57% saved)

series602.0ms (9.8%)

Error

Counts

3 → 57

Calls

3 calls:

268.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
207.0ms	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))
96.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1571 to 963 computations (38.7% saved)

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5294	1579

prune81.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	140	7	147

Error

Counts

147 → 7

Compiler

Compiled 1747 to 497 computations (71.6% saved)

regimes401.0ms (6.6%)

Accuracy

Total 1.9b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 2456 to 1958 computations (20.3% saved)

bsearch37.0ms (0.6%)

Steps

Iters	Range		Point
6	7.688309032345716e+152	8.142366394362723e+153	7.798937390756335e+152
8	-8.89791210838348e+27	-2.0448445855169426e+24	-1.1482738035764579e+26

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	76
1	72	76

end0.0ms (0%)

sample1.3s (20.6%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
80.0ms	2098×	body	128	invalid

Compiler

Compiled 560 to 433 computations (22.7% saved)

Details

analyze1.1s (17.4%)

sample29.0ms (0.5%)

simplify57.0ms (0.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite77.0ms (1.3%)

series592.0ms (9.7%)

simplify60.0ms (1%)

prune80.0ms (1.3%)

localize13.0ms (0.2%)

rewrite117.0ms (1.9%)

series478.0ms (7.8%)

simplify81.0ms (1.3%)

prune97.0ms (1.6%)

localize9.0ms (0.1%)

rewrite74.0ms (1.2%)

series620.0ms (10.1%)

simplify68.0ms (1.1%)

prune67.0ms (1.1%)

localize10.0ms (0.2%)

rewrite95.0ms (1.6%)

series602.0ms (9.8%)

simplify44.0ms (0.7%)

prune81.0ms (1.3%)

regimes401.0ms (6.6%)

bsearch37.0ms (0.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (20.6%)

Profiling