Details

analyze917.0ms (16.9%)

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%	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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify229.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

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

1.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_14412`
70×	`*-un-lft-identity_binary64_14390`
51×	`times-frac_binary64_14396`
31×	`associate-r_binary64_14330`
26×	`add-cube-cbrt_binary64_14425`
22×	`distribute-lft-out--_binary64_14342` `difference-of-squares_binary64_14359`
9×	`add-exp-log_binary64_14428` `add-cbrt-cube_binary64_14426`
5×	`associate-/r_binary64_14334` `associate-/l_binary64_14335`
4×	`associate-/r/_binary64_14336` `pow1_binary64_14451`
3×	`flip3--_binary64_14394` `associate-l_binary64_14331` `flip--_binary64_14365`
2×	`cbrt-unprod_binary64_14423` `add-log-exp_binary64_14429` `div-exp_binary64_14441` `cbrt-undiv_binary64_14424` `unswap-sqr_binary64_14358` `associate-/l/_binary64_14337` `prod-exp_binary64_14439` `div-inv_binary64_14387`
1×	`clear-num_binary64_14389` `pow-prod-down_binary64_14461` `div-sub_binary64_14395` `associate-r/_binary64_14332` `frac-2neg_binary64_14401` `-commutative_binary64_14321`

Counts

2 → 102

Calls

4 calls:

21.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
0.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
0.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series338.0ms (6.2%)

Counts

2 → 35

Calls

2 calls:

214.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
124.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 972 to 786 computations (19.1% saved)

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5262	2158

prune139.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Error

0.0b

Counts

138 → 7

Compiler

Compiled 2436 to 533 computations (78.1% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a))))
0.2b	(.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))))
0.2b	(/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z a)))
0.2b	(.f64 (.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z a))))
0.5b	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_14421`
37×	`add-sqr-sqrt_binary64_14412`
35×	`*-un-lft-identity_binary64_14390`
18×	`cbrt-div_binary64_14422`
15×	`add-cube-cbrt_binary64_14425`
11×	`pow1_binary64_14451`
10×	`swap-sqr_binary64_14357`
9×	`distribute-lft-out--_binary64_14342` `pow1/3_binary64_14472` `flip3--_binary64_14394` `flip--_binary64_14365`
8×	`associate-l_binary64_14331` `associate-r_binary64_14330`
7×	`difference-of-squares_binary64_14359`
6×	`add-exp-log_binary64_14428`
4×	`add-log-exp_binary64_14429` `unswap-sqr_binary64_14358` `add-cbrt-cube_binary64_14426` `frac-times_binary64_14400`
2×	`associate-l/_binary64_14333` `pow-prod-up_binary64_14460` `pow-prod-down_binary64_14461` `pow-sqr_binary64_14363` `associate-r/_binary64_14332`
1×	`cbrt-unprod_binary64_14423` `pow2_binary64_14471` `pow-plus_binary64_14453` `prod-exp_binary64_14439` `*-commutative_binary64_14321`

Counts

4 → 101

Calls

8 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
0.0ms	(.f64 (.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z a))))

series563.0ms (10.4%)

Counts

4 → 54

Calls

4 calls:

226.0ms	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))
116.0ms	(cbrt.f64 (-.f64 z a))
111.0ms	(cbrt.f64 (-.f64 z a))
110.0ms	(cbrt.f64 (-.f64 z a))

Compiler

Compiled 3581 to 2456 computations (31.4% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4918	2462
1	4918	2462

prune186.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Error

Counts

162 → 8

Compiler

Compiled 6122 to 1347 computations (78% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.2b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
0.0b	(*.f64 y (-.f64 z t))
0.0b	(*.f64 y (-.f64 z t))
10.2b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_14412`
14×	`*-un-lft-identity_binary64_14390`
9×	`add-exp-log_binary64_14428` `add-cbrt-cube_binary64_14426`
8×	`add-cube-cbrt_binary64_14425`
6×	`cancel-sign-sub-inv_binary64_14356`
5×	`times-frac_binary64_14396` `associate-/r_binary64_14334` `associate-r*_binary64_14330`
4×	`pow1_binary64_14451` `distribute-rgt-in_binary64_14340` `associate-*r/_binary64_14332` `distribute-lft-in_binary64_14339`
3×	`distribute-lft-out--_binary64_14342` `flip3--_binary64_14394` `associate-l_binary64_14331` `difference-of-squares_binary64_14359` `flip--_binary64_14365`
2×	`sub-neg_binary64_14383` `cbrt-unprod_binary64_14423` `add-log-exp_binary64_14429` `div-exp_binary64_14441` `cbrt-undiv_binary64_14424` `associate-/r/_binary64_14336` `associate-/l/_binary64_14337` `prod-exp_binary64_14439`
1×	`clear-num_binary64_14389` `pow-prod-down_binary64_14461` `unswap-sqr_binary64_14358` `associate-/l_binary64_14335` `frac-2neg_binary64_14401` `-commutative_binary64_14321` `div-inv_binary64_14387`

Counts

2 → 59

Calls

4 calls:

9.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
7.0ms	(*.f64 y (-.f64 z t))
0.0ms	(*.f64 y (-.f64 z t))
0.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series304.0ms (5.6%)

Counts

2 → 34

Calls

2 calls:

209.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
95.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 831 to 684 computations (17.7% saved)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5556	1089

prune69.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	4	1	5
Picked	1	0	1
Done	1	1	2
Total	95	6	101

Error

Counts

101 → 6

Compiler

Compiled 1384 to 320 computations (76.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
1.7b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_14396`
194×	`*-un-lft-identity_binary64_14390` `add-sqr-sqrt_binary64_14412`
90×	`add-cube-cbrt_binary64_14425`
52×	`distribute-lft-out--_binary64_14342` `difference-of-squares_binary64_14359`
36×	`associate-/r*_binary64_14334`
11×	`associate-/r/_binary64_14336`
9×	`add-exp-log_binary64_14428` `add-cbrt-cube_binary64_14426`
8×	`associate-/l*_binary64_14335`
6×	`flip3--_binary64_14394` `flip--_binary64_14365` `div-inv_binary64_14387`
4×	`div-exp_binary64_14441` `cbrt-undiv_binary64_14424`
2×	`add-log-exp_binary64_14429` `clear-num_binary64_14389` `associate-/l/_binary64_14337` `pow1_binary64_14451` `frac-2neg_binary64_14401`
1×	`div-sub_binary64_14395`

Counts

2 → 194

Calls

4 calls:

13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
0.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
0.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series392.0ms (7.2%)

Counts

2 → 49

Calls

2 calls:

213.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
179.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 1394 to 1104 computations (20.8% saved)

simplify102.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5105	6080

prune183.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	244	5	249

Error

Counts

249 → 5

Compiler

Compiled 5188 to 908 computations (82.5% saved)

regimes455.0ms (8.4%)

Accuracy

Total 0.5b remaining (99.6%)

Threshold costs 0.5b (99.6%)

Compiler

Compiled 4776 to 3569 computations (25.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	52
1	38	52

end0.0ms (0%)

sample1.1s (21.1%)

Algorithm

1×

intervals

Results

323.0ms	8000×	body	128	valid
26.0ms	702×	body	128	invalid

Compiler

Compiled 616 to 455 computations (26.1% saved)

Pareto

Details

analyze917.0ms (16.9%)

sample24.0ms (0.4%)

simplify229.0ms (4.2%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite39.0ms (0.7%)

series338.0ms (6.2%)

simplify71.0ms (1.3%)

prune139.0ms (2.6%)

localize18.0ms (0.3%)

rewrite38.0ms (0.7%)

series563.0ms (10.4%)

simplify73.0ms (1.3%)

prune186.0ms (3.4%)

localize9.0ms (0.2%)

rewrite21.0ms (0.4%)

series304.0ms (5.6%)

simplify57.0ms (1%)

prune69.0ms (1.3%)

localize8.0ms (0.1%)

rewrite43.0ms (0.8%)

series392.0ms (7.2%)

simplify102.0ms (1.9%)

prune183.0ms (3.4%)

regimes455.0ms (8.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (21.1%)

Profiling