Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

338×

body

valid

simplify135.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1618	4
11	2991	4
12	4757	4
13	5001	4

prune3.0ms

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: 3.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.3b	(* (/ x y) (- z t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* (/ x y) (- z t)) t)
12.0ms	(* (/ x y) (- z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune83.0ms

Filtered

43 candidates to 63 candidates (-46.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) z) (* (/ x y) (neg t)))
0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (neg t))) t)
4.4b	(* (/ x y) (neg t))
5.7b	(* (/ x y) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`
1×	`neg-mul-1` `associate-+l+` `frac-add`

Counts

4 → 103

Calls

4 calls:

5.0ms	(+ (* (/ x y) z) (* (/ x y) (neg t)))
10.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (neg t))) t)
7.0ms	(* (/ x y) (neg t))
6.0ms	(* (/ x y) z)

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* (/ x y) z) (* (/ x y) (neg t)))
10.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (neg t))) t)
6.0ms	(* (/ x y) (neg t))
5.0ms	(* (/ x y) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	481	608
1	2197	531
2	5001	530

prune105.0ms

Filtered

86 candidates to 115 candidates (-33.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.7b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.9b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
22.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
17.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
30.0ms	(cbrt (- z t))
12.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
30.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify71.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	844	2320
1	2572	2105
2	5001	2035

prune162.0ms

Filtered

105 candidates to 176 candidates (-67.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	175	7	182

Merged error: 0.0b

Counts

182 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.7b	(* (/ (* x (* (cbrt (- z t)) (cbrt (- z t)))) y) (cbrt (- z t)))
3.1b	(/ (* x (* (cbrt (- z t)) (cbrt (- z t)))) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
22×	`add-sqr-sqrt`
20×	`cbrt-div`
19×	`add-cbrt-cube`
18×	`*-un-lft-identity`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `associate-*r/`
10×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-r` `associate-/l/`
7×	`associate-l`
6×	`pow1` `cbrt-undiv` `frac-times` `times-frac` `div-exp`
4×	`add-log-exp`
3×	`associate-l/` `associate-/r` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

4 → 100

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
21.0ms	(* (/ (* x (* (cbrt (- z t)) (cbrt (- z t)))) y) (cbrt (- z t)))
13.0ms	(/ (* x (* (cbrt (- z t)) (cbrt (- z t)))) y)

series98.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
12.0ms	(* (/ (* x (* (cbrt (- z t)) (cbrt (- z t)))) y) (cbrt (- z t)))
33.0ms	(/ (* x (* (cbrt (- z t)) (cbrt (- z t)))) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	537	1092
1	2220	954
2	5001	871

prune110.0ms

Filtered

86 candidates to 112 candidates (-30.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	114	5	119

Merged error: 0.0b

Counts

119 → 5

regimes386.0ms

Accuracy

33.2% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch37.0ms

Steps

Iters	Range		Point
7	5.35575479814625e-15	2.8545697764659855e-13	2.7142322307355674e-14
7	-1.2586987445683631e+32	-3.9566710988632986e+30	-6.474912171512392e+31

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	15
1	37	15
2	40	15
3	40	15

end0.0ms

sample811.0ms

Algorithm

intervals

Results

380.0ms

10696×

body

valid

Details

sample29.0ms

simplify135.0ms

prune3.0ms

localize6.0ms

rewrite17.0ms

series22.0ms

simplify36.0ms

prune83.0ms

localize8.0ms

rewrite31.0ms

series32.0ms

simplify55.0ms

prune105.0ms

localize10.0ms

rewrite54.0ms

series96.0ms

simplify71.0ms

prune162.0ms

localize10.0ms

rewrite43.0ms

series98.0ms

simplify58.0ms

prune110.0ms

regimes386.0ms

bsearch37.0ms

simplify2.0ms

end0.0ms

sample811.0ms

Profiling