Details

analyze969.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5349	384
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
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample118.0ms (1.1%)

Algorithm

1×

intervals

Results

37.0ms	483×	body	128	nan
21.0ms	256×	body	128	valid
20.0ms	243×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5001	24

prune5.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.9b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.5b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_9307`
21×	`*-un-lft-identity_binary64_9285`
16×	`add-cube-cbrt_binary64_9320`
13×	`add-cbrt-cube_binary64_9321`
12×	`log-prod_binary64_9371` `add-exp-log_binary64_9323`
10×	`associate-l_binary64_9226` `pow1_binary64_9346` `add-log-exp_binary64_9324`
8×	`associate-r_binary64_9225`
6×	`distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235`
5×	`exp-sum_binary64_9331` `exp-prod_binary64_9337`
3×	`cbrt-unprod_binary64_9318` `cancel-sign-sub-inv_binary64_9251` `prod-exp_binary64_9334` `times-frac_binary64_9291` `rem-exp-log_binary64_9325` `difference-of-squares_binary64_9254` `associate-/r*_binary64_9229`
2×	`associate-l/_binary64_9228` `div-exp_binary64_9336` `pow-prod-down_binary64_9356` `log-pow_binary64_9374` `unswap-sqr_binary64_9253` `cbrt-undiv_binary64_9319` `exp-diff_binary64_9333` `-commutative_binary64_9216` `diff-log_binary64_9377` `distribute-lft-out--_binary64_9237`
1×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `sub-neg_binary64_9278` `flip--_binary64_9260` `associate--l+_binary64_9222` `flip3--_binary64_9289` `difference-of-sqr-1_binary64_9255` `frac-2neg_binary64_9296` `associate-r/_binary64_9227` `associate-/l_binary64_9230` `sum-log_binary64_9376` `div-inv_binary64_9282`

Counts

4 → 99

Calls

4 calls:

13.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
6.0ms	(*.f64 y (log.f64 z))

series445.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
143.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
35.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
30.0ms	(*.f64 y (log.f64 z))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5018	1831

prune122.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Error

0.0b

Counts

113 → 8

Compiler

Compiled 2641 to 1311 computations (50.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
0.7b	(log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))))
0.9b	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
1.5b	(/.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) y)

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-exp-log_binary64_9323`
27×	`add-sqr-sqrt_binary64_9307`
19×	`prod-exp_binary64_9334`
16×	`*-un-lft-identity_binary64_9285`
13×	`add-cube-cbrt_binary64_9320`
12×	`pow-exp_binary64_9353` `unpow-prod-down_binary64_9364` `pow-to-exp_binary64_9354`
11×	`associate-r_binary64_9225` `add-cbrt-cube_binary64_9321`
10×	`rem-log-exp_binary64_9326`
9×	`unswap-sqr_binary64_9253`
8×	`sqr-pow_binary64_9257`
7×	`associate-l_binary64_9226`
6×	`cancel-sign-sub-inv_binary64_9251` `exp-prod_binary64_9337` `pow1_binary64_9346` `add-log-exp_binary64_9324`
5×	`exp-sum_binary64_9331`
4×	`unpow-prod-up_binary64_9363`
3×	`times-frac_binary64_9291` `associate-r/_binary64_9227` `associate-/r_binary64_9229`
2×	`log-prod_binary64_9371` `cbrt-unprod_binary64_9318` `pow-sub_binary64_9361` `div-exp_binary64_9336` `sub-neg_binary64_9278` `log-pow_binary64_9374` `cbrt-undiv_binary64_9319` `exp-diff_binary64_9333` `rem-exp-log_binary64_9325` `distribute-lft-out--_binary64_9237`
1×	`associate-/l/_binary64_9232` `log-div_binary64_9372` `clear-num_binary64_9284` `associate--l+_binary64_9222` `frac-2neg_binary64_9296` `-commutative_binary64_9216` `associate-/l_binary64_9230` `difference-of-squares_binary64_9254` `diff-log_binary64_9377` `div-inv_binary64_9282`

Counts

4 → 109

Calls

4 calls:

14.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) y)
10.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
9.0ms	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
6.0ms	(log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))))

series927.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) y)
244.0ms	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
165.0ms	(log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))))
128.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5030	2187

prune128.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 2757 to 1489 computations (46% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
0.2b	(pow.f64 a (-.f64 t 1))
0.2b	(*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1))))
1.4b	(/.f64 x (*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))

rewrite90.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-sqr-sqrt_binary64_9307`
114×	`times-frac_binary64_9291`
97×	`add-exp-log_binary64_9323`
71×	`*-un-lft-identity_binary64_9285`
68×	`div-exp_binary64_9336` `add-cube-cbrt_binary64_9320`
41×	`unpow-prod-down_binary64_9364`
38×	`associate-r_binary64_9225`
36×	`add-cbrt-cube_binary64_9321`
32×	`unpow-prod-up_binary64_9363` `prod-exp_binary64_9334`
25×	`associate-l_binary64_9226`
24×	`cancel-sign-sub-inv_binary64_9251`
19×	`sqr-pow_binary64_9257`
18×	`pow-exp_binary64_9353` `pow-to-exp_binary64_9354`
16×	`unswap-sqr_binary64_9253`
14×	`cbrt-undiv_binary64_9319`
12×	`associate-/r*_binary64_9229`
8×	`cbrt-unprod_binary64_9318` `sub-neg_binary64_9278`
7×	`pow1_binary64_9346` `pow-unpow_binary64_9362`
6×	`associate-/l*_binary64_9230`
5×	`associate-/r/_binary64_9231`
4×	`add-log-exp_binary64_9324` `div-inv_binary64_9282`
3×	`pow-sub_binary64_9361`
2×	`clear-num_binary64_9284` `associate-l/_binary64_9228` `frac-times_binary64_9295` `frac-2neg_binary64_9296` `associate-r/_binary64_9227` `difference-of-squares_binary64_9254`
1×	`pow-prod-down_binary64_9356` `pow-pow_binary64_9357` `difference-of-sqr-1_binary64_9255` `*-commutative_binary64_9216` `distribute-lft-out--_binary64_9237`

Counts

4 → 241

Calls

4 calls:

33.0ms	(*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1))))
18.0ms	(/.f64 x (*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
7.0ms	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
5.0ms	(pow.f64 a (-.f64 t 1))

series735.0ms (7%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(/.f64 x (*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
287.0ms	(*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1))))
99.0ms	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
46.0ms	(pow.f64 a (-.f64 t 1))

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4976	5854
1	4976	5854

prune271.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	250	3	253
Fresh	1	4	5
Picked	1	0	1
Done	1	1	2
Total	253	8	261

Error

Counts

261 → 8

Compiler

Compiled 6065 to 2485 computations (59% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (pow.f64 z y))
0.0b	(/.f64 1 (pow.f64 a t))
0.2b	(.f64 (/.f64 y (pow.f64 z y)) (.f64 (/.f64 1 (pow.f64 a t)) (*.f64 (exp.f64 b) a)))
1.4b	(/.f64 x (.f64 (/.f64 y (pow.f64 z y)) (.f64 (/.f64 1 (pow.f64 a t)) (*.f64 (exp.f64 b) a))))

rewrite104.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

684×	`add-exp-log_binary64_9323`
408×	`prod-exp_binary64_9334`
316×	`div-exp_binary64_9336`
102×	`add-cbrt-cube_binary64_9321`
94×	`pow-exp_binary64_9353` `pow-to-exp_binary64_9354`
66×	`times-frac_binary64_9291`
52×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
51×	`rec-exp_binary64_9335` `1-exp_binary64_9329`
44×	`cbrt-unprod_binary64_9318`
33×	`unpow-prod-down_binary64_9364`
31×	`cbrt-undiv_binary64_9319`
25×	`associate-l_binary64_9226`
15×	`associate-/r*_binary64_9229`
13×	`pow1_binary64_9346`
11×	`sqr-pow_binary64_9257`
9×	`associate-/l*_binary64_9230`
6×	`associate-*l/_binary64_9228` `pow-prod-down_binary64_9356`
4×	`add-log-exp_binary64_9324` `div-inv_binary64_9282`
3×	`clear-num_binary64_9284` `frac-2neg_binary64_9296` `associate-/r/_binary64_9231`
2×	`frac-times_binary64_9295` `associate-*r/_binary64_9227`
1×	`associate-r_binary64_9225` `inv-pow_binary64_9370` `*-commutative_binary64_9216` `pow-flip_binary64_9359`

Counts

4 → 348

Calls

4 calls:

25.0ms	(/.f64 x (.f64 (/.f64 y (pow.f64 z y)) (.f64 (/.f64 1 (pow.f64 a t)) (*.f64 (exp.f64 b) a))))
21.0ms	(.f64 (/.f64 y (pow.f64 z y)) (.f64 (/.f64 1 (pow.f64 a t)) (*.f64 (exp.f64 b) a)))
8.0ms	(/.f64 1 (pow.f64 a t))
5.0ms	(/.f64 y (pow.f64 z y))

series763.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

334.0ms	(/.f64 x (.f64 (/.f64 y (pow.f64 z y)) (.f64 (/.f64 1 (pow.f64 a t)) (*.f64 (exp.f64 b) a))))
324.0ms	(.f64 (/.f64 y (pow.f64 z y)) (.f64 (/.f64 1 (pow.f64 a t)) (*.f64 (exp.f64 b) a)))
54.0ms	(/.f64 1 (pow.f64 a t))
51.0ms	(/.f64 y (pow.f64 z y))

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

360 → 360

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4969	7515
1	4969	7515

prune241.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	360	8	368

Error

Counts

368 → 8

Compiler

Compiled 7356 to 1147 computations (84.4% saved)

regimes654.0ms (6.2%)

Accuracy

Total 1.9b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7290 to 6275 computations (13.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	28
1	44	28

end0.0ms (0%)

sample4.3s (40.7%)

Algorithm

1×

intervals

Results

1.2s	13989×	body	128	nan
693.0ms	8000×	body	128	valid
600.0ms	7152×	body	128	invalid

Compiler

Compiled 754 to 637 computations (15.5% saved)

Details

analyze969.0ms (9.2%)

sample118.0ms (1.1%)

simplify64.0ms (0.6%)

prune5.0ms (0%)

localize16.0ms (0.2%)

rewrite48.0ms (0.5%)

series445.0ms (4.2%)

simplify70.0ms (0.7%)

prune122.0ms (1.2%)

localize15.0ms (0.1%)

rewrite49.0ms (0.5%)

series927.0ms (8.8%)

simplify102.0ms (1%)

prune128.0ms (1.2%)

localize12.0ms (0.1%)

rewrite90.0ms (0.8%)

series735.0ms (7%)

simplify154.0ms (1.5%)

prune271.0ms (2.6%)

localize13.0ms (0.1%)

rewrite104.0ms (1%)

series763.0ms (7.2%)

simplify147.0ms (1.4%)

prune241.0ms (2.3%)

regimes654.0ms (6.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (40.7%)

Profiling