Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

350×

body

valid

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 1.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.9b	(* (/ x y) (- z t))

rewrite19.0ms

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:

8.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series84.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ x y) (- z t)) t)
49.0ms	(* (/ x y) (- z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune132.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	54	9	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	9	64

Merged error: 0b

Counts

64 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
0.0b	(+ (* (/ x y) z) (* (/ x y) (- t)))
3.5b	(* (/ x y) z)
5.5b	(* (/ x y) (- t))

rewrite34.0ms

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:

11.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
5.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
6.0ms	(* (/ x y) z)
8.0ms	(* (/ x y) (- t))

series123.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
49.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
20.0ms	(* (/ x y) z)
22.0ms	(* (/ x y) (- t))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	481	608
1	2207	531
2	5001	529

prune220.0ms

Filtered

115 candidates to 86 candidates (74.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (/ x y) (- z t))
6.0b	(cbrt (* (/ x y) (- z t)))
6.0b	(cbrt (* (/ x y) (- z t)))
6.0b	(cbrt (* (/ x y) (- z t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

9.0ms	(* (/ x y) (- z t))
6.0ms	(cbrt (* (/ x y) (- z t)))
6.0ms	(cbrt (* (/ x y) (- z t)))
6.0ms	(cbrt (* (/ x y) (- z t)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ x y) (- z t))
118.0ms	(cbrt (* (/ x y) (- z t)))
122.0ms	(cbrt (* (/ x y) (- z t)))
118.0ms	(cbrt (* (/ x y) (- z t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	336	615
1	1217	560
2	5002	554

prune284.0ms

Filtered

96 candidates to 79 candidates (82.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
5.6b	(/ (* x (- z t)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

8.0ms	(+ (/ (* x (- z t)) y) t)
6.0ms	(* x (- z t))
7.0ms	(/ (* x (- z t)) y)

series117.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (/ (* x (- z t)) y) t)
34.0ms	(* x (- z t))
51.0ms	(/ (* x (- z t)) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	288	331
1	1163	295
2	5001	283

prune98.0ms

Filtered

70 candidates to 44 candidates (62.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	4	5
Picked	0	1	1
Done	2	0	2
Total	72	6	78

Merged error: 0b

Counts

78 → 6

regimes192.0ms

Accuracy

78.1% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 6.7b

bsearch72.0ms

Steps

Iters	Range		Point
9	339896681489548.25	9.110571952491746e+19	1704346938201990.2
8	-3.839846616860217e-76	-2.6622430252244118e-79	-3.333827132609832e-76

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample621.0ms

Algorithm

intervals

Results

342.0ms

10594×

body

valid