Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune5.0ms

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: 22.9b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
21.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (+ t y) a)
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series191.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ t y) a)
29.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
140.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5001	1025

prune165.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Merged error: 7.1b

Counts

103 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
21.6b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

16.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
15.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
29.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
42.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	703	3188
1	3355	2977
2	5002	2859

prune164.0ms

Filtered

94 candidates to 188 candidates (-100.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	186	12	198

Merged error: 3.8b

Counts

198 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
22.1b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
22.1b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
22.1b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`associate-r`
32×	`times-frac`
30×	`cbrt-div`
29×	`add-sqr-sqrt`
25×	`cbrt-prod`
24×	`add-cube-cbrt`
18×	`distribute-lft-out`
16×	`add-exp-log` `frac-times`
15×	`flip3--` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

4 → 114

Calls

4 calls:

37.0ms	(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
9.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
10.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
117.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
116.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
118.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	591	3388
1	2399	3077
2	5001	2930

prune161.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	126	12	138

Merged error: 3.8b

Counts

138 → 12

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	1	1
Done	2	2
Total	12	12

Merged error: 3.8b

Counts

12 → 12

regimes872.0ms

Accuracy

48.2% (11.2b remaining)

Error of 15.8b against oracle of 4.5b and baseline of 26.2b

bsearch49.0ms

Steps

Iters	Range		Point
6	4.0824133445675707e+74	6.420520253806565e+75	4.4330644690100254e+74
10	-2.609100067495576e+108	-1.2005871348248489e+98	-3.669839273201274e+103

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

end0.0ms

sample938.0ms

Algorithm

intervals

Results

445.0ms	7999×	body	80	valid
0.0ms	1×	body	160	valid

Details

sample35.0ms

simplify103.0ms

prune5.0ms

localize18.0ms

rewrite37.0ms

series191.0ms

simplify71.0ms

prune165.0ms

localize17.0ms

rewrite54.0ms

series252.0ms

simplify92.0ms

prune164.0ms

localize19.0ms

rewrite70.0ms

series491.0ms

simplify77.0ms

prune161.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes872.0ms

bsearch49.0ms

simplify2.0ms

end0.0ms

sample938.0ms

Profiling