Details

analyze856.0ms (6.8%)

Algorithm

1×

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)

sample116.0ms (0.9%)

Algorithm

1×

intervals

Results

34.0ms	490×	body	128	nan
23.0ms	256×	body	128	valid
21.0ms	251×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify220.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5041	24

prune10.0ms (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

Merged error: 0.2b

Counts

2 → 2

Compiler

Compiled 84 to 79 computations (6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
1.1b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite48.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_8013`
21×	`*-un-lft-identity_binary64_7991`
16×	`add-cube-cbrt_binary64_8026`
13×	`add-cbrt-cube_binary64_8027`
12×	`log-prod_binary64_8077` `add-exp-log_binary64_8029`
10×	`pow1_binary64_8052` `add-log-exp_binary64_8030` `associate-l_binary64_7932`
8×	`associate-r_binary64_7931`
6×	`distribute-rgt-in_binary64_7941` `distribute-lft-in_binary64_7940`
5×	`exp-prod_binary64_8043` `exp-sum_binary64_8037`
3×	`cbrt-unprod_binary64_8024` `cancel-sign-sub-inv_binary64_7957` `prod-exp_binary64_8040` `associate-/r*_binary64_7935` `difference-of-squares_binary64_7960` `times-frac_binary64_7997` `rem-exp-log_binary64_8031`
2×	`exp-diff_binary64_8039` `-commutative_binary64_7922` `log-pow_binary64_8080` `cbrt-undiv_binary64_8025` `associate-l/_binary64_7934` `pow-prod-down_binary64_8062` `distribute-lft-out--_binary64_7943` `diff-log_binary64_8083` `div-exp_binary64_8042` `unswap-sqr_binary64_7959`
1×	`frac-2neg_binary64_8002` `flip--_binary64_7966` `difference-of-sqr-1_binary64_7961` `associate-/l/_binary64_7938` `associate--l+_binary64_7928` `clear-num_binary64_7990` `associate-/l_binary64_7936` `flip3--_binary64_7995` `sum-log_binary64_8082` `sub-neg_binary64_7984` `associate-r/_binary64_7933` `div-inv_binary64_7988`

Counts

4 → 99

Calls

4 calls:

14.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
9.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))

series784.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

434.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
240.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
63.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
47.0ms	(*.f64 y (log.f64 z))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	1831
1	4959	1831

prune244.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

Compiler

Compiled 4624 to 3053 computations (34% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 a (-.f64 t 1))
0.3b	(*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1))))
0.3b	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
1.2b	(/.f64 x (*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))

rewrite103.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-sqr-sqrt_binary64_8013`
114×	`times-frac_binary64_7997`
97×	`add-exp-log_binary64_8029`
71×	`*-un-lft-identity_binary64_7991`
68×	`add-cube-cbrt_binary64_8026` `div-exp_binary64_8042`
41×	`unpow-prod-down_binary64_8070`
38×	`associate-r_binary64_7931`
36×	`add-cbrt-cube_binary64_8027`
32×	`unpow-prod-up_binary64_8069` `prod-exp_binary64_8040`
25×	`associate-l_binary64_7932`
24×	`cancel-sign-sub-inv_binary64_7957`
19×	`sqr-pow_binary64_7963`
18×	`pow-exp_binary64_8059` `pow-to-exp_binary64_8060`
16×	`unswap-sqr_binary64_7959`
14×	`cbrt-undiv_binary64_8025`
12×	`associate-/r*_binary64_7935`
8×	`cbrt-unprod_binary64_8024` `sub-neg_binary64_7984`
7×	`pow1_binary64_8052` `pow-unpow_binary64_8068`
6×	`associate-/l*_binary64_7936`
5×	`associate-/r/_binary64_7937`
4×	`add-log-exp_binary64_8030` `div-inv_binary64_7988`
3×	`pow-sub_binary64_8067`
2×	`frac-2neg_binary64_8002` `clear-num_binary64_7990` `associate-l/_binary64_7934` `difference-of-squares_binary64_7960` `associate-r/_binary64_7933` `frac-times_binary64_8001`
1×	`*-commutative_binary64_7922` `difference-of-sqr-1_binary64_7961` `pow-pow_binary64_8063` `pow-prod-down_binary64_8062` `distribute-lft-out--_binary64_7943`

Counts

4 → 241

Calls

4 calls:

35.0ms	(*.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)))))
8.0ms	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
6.0ms	(pow.f64 a (-.f64 t 1))

series1.7s (13.2%)

Counts

4 → 12

Calls

4 calls:

866.0ms	(/.f64 x (*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
513.0ms	(*.f64 (/.f64 y (pow.f64 z y)) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1))))
187.0ms	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
93.0ms	(pow.f64 a (-.f64 t 1))

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4978	5844
1	4978	5844

prune324.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	253	6	259

Merged error: 0b

Counts

259 → 6

Compiler

Compiled 7194 to 3506 computations (51.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 z y) y)
0.1b	(pow.f64 a (-.f64 t 1))
0.3b	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
3.4b	(*.f64 (/.f64 (pow.f64 z y) y) (/.f64 x (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))

rewrite157.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

331×	`times-frac_binary64_7997`
241×	`add-sqr-sqrt_binary64_8013`
166×	`*-un-lft-identity_binary64_7991`
163×	`add-cube-cbrt_binary64_8026`
119×	`associate-r_binary64_7931`
74×	`add-exp-log_binary64_8029`
72×	`unpow-prod-down_binary64_8070`
56×	`unpow-prod-up_binary64_8069`
49×	`div-exp_binary64_8042`
42×	`cancel-sign-sub-inv_binary64_7957`
30×	`sqr-pow_binary64_7963`
29×	`add-cbrt-cube_binary64_8027`
25×	`associate-l_binary64_7932`
20×	`prod-exp_binary64_8040` `unswap-sqr_binary64_7959`
14×	`associate-/r*_binary64_7935` `sub-neg_binary64_7984`
12×	`pow-exp_binary64_8059` `pow-to-exp_binary64_8060`
11×	`cbrt-undiv_binary64_8025`
10×	`associate-/l*_binary64_7936`
7×	`pow1_binary64_8052` `pow-unpow_binary64_8068` `div-inv_binary64_7988`
6×	`cbrt-unprod_binary64_8024`
5×	`pow-sub_binary64_8067` `associate-/r/_binary64_7937`
4×	`add-log-exp_binary64_8030`
2×	`frac-2neg_binary64_8002` `clear-num_binary64_7990` `difference-of-squares_binary64_7960`
1×	`-commutative_binary64_7922` `difference-of-sqr-1_binary64_7961` `pow-pow_binary64_8063` `associate-l/_binary64_7934` `pow-prod-down_binary64_8062` `distribute-lft-out--_binary64_7943` `associate-*r/_binary64_7933` `frac-times_binary64_8001`

Counts

4 → 335

Calls

4 calls:

88.0ms	(*.f64 (/.f64 (pow.f64 z y) y) (/.f64 x (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
8.0ms	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
6.0ms	(pow.f64 a (-.f64 t 1))
5.0ms	(/.f64 (pow.f64 z y) y)

series1.1s (8.4%)

Counts

4 → 12

Calls

4 calls:

661.0ms	(*.f64 (/.f64 (pow.f64 z y) y) (/.f64 x (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
193.0ms	(/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))
108.0ms	(/.f64 (pow.f64 z y) y)
101.0ms	(pow.f64 a (-.f64 t 1))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

347 → 347

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5057	8675

prune396.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	347	6	353

Merged error: 0b

Counts

353 → 6

Compiler

Compiled 9255 to 3628 computations (60.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (pow.f64 z y))) (/.f64 (cbrt.f64 x) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))

rewrite273.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

605×	`times-frac_binary64_7997`
393×	`add-sqr-sqrt_binary64_8013`
233×	`associate-r_binary64_7931`
225×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
201×	`add-exp-log_binary64_8029`
143×	`cbrt-prod_binary64_8022`
133×	`div-exp_binary64_8042`
82×	`unpow-prod-down_binary64_8070`
72×	`unpow-prod-up_binary64_8069`
65×	`prod-exp_binary64_8040`
54×	`cancel-sign-sub-inv_binary64_7957`
51×	`add-cbrt-cube_binary64_8027`
45×	`unswap-sqr_binary64_7959`
40×	`sqr-pow_binary64_7963`
33×	`cbrt-undiv_binary64_8025`
30×	`associate-l_binary64_7932`
21×	`cbrt-unprod_binary64_8024`
19×	`pow-exp_binary64_8059` `pow-to-exp_binary64_8060`
18×	`sub-neg_binary64_7984`
9×	`div-inv_binary64_7988`
8×	`associate-/r/_binary64_7937`
6×	`pow1_binary64_8052` `pow-sub_binary64_8067`
4×	`add-log-exp_binary64_8030`
3×	`pow1/3_binary64_8073`
1×	`-commutative_binary64_7922` `associate-l/_binary64_7934` `pow-prod-down_binary64_8062` `associate-*r/_binary64_7933` `frac-times_binary64_8001`

Counts

4 → 413

Calls

4 calls:

178.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (pow.f64 z y))) (/.f64 (cbrt.f64 x) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series1.1s (9.1%)

Counts

4 → 12

Calls

4 calls:

647.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (pow.f64 z y))) (/.f64 (cbrt.f64 x) (/.f64 (exp.f64 b) (pow.f64 a (-.f64 t 1)))))
170.0ms	(cbrt.f64 x)
165.0ms	(cbrt.f64 x)
164.0ms	(cbrt.f64 x)

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

425 → 425

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5397	15084

prune654.0ms (5.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	425	6	431

Merged error: 0b

Counts

431 → 6

Compiler

Compiled 14406 to 5773 computations (59.9% saved)

regimes210.0ms (1.7%)

Compiler: Compiled 1328 to 1248 computations (6% saved)

bsearch195.0ms (1.5%)

Steps

Iters	Range		Point
6	-1.0816678088479962e-299	-1.1909049714696586e-300	-9.466108571856053e-300
9	-1.1785418692512623e-52	-6.870876002982472e-59	-7.112241749727716e-59

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	78
1	63	78

end0.0ms (0%)

sample3.7s (29%)

Algorithm

1×

intervals

Results

1.0s	14754×	body	128	nan
685.0ms	8000×	body	128	valid
607.0ms	7240×	body	128	invalid

Compiler

Compiled 244 to 199 computations (18.4% saved)

Details

analyze856.0ms (6.8%)

sample116.0ms (0.9%)

simplify220.0ms (1.7%)

prune10.0ms (0.1%)

localize16.0ms (0.1%)

rewrite48.0ms (0.4%)

series784.0ms (6.2%)

simplify69.0ms (0.6%)

prune244.0ms (1.9%)

localize16.0ms (0.1%)

rewrite103.0ms (0.8%)

series1.7s (13.2%)

simplify107.0ms (0.9%)

prune324.0ms (2.6%)

localize13.0ms (0.1%)

rewrite157.0ms (1.2%)

series1.1s (8.4%)

simplify99.0ms (0.8%)

prune396.0ms (3.1%)

localize18.0ms (0.1%)

rewrite273.0ms (2.2%)

series1.1s (9.1%)

simplify153.0ms (1.2%)

prune654.0ms (5.2%)

regimes210.0ms (1.7%)

bsearch195.0ms (1.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.7s (29%)

Profiling