Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	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: 7.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
7.9b	(/ (* (- y x) z) t)

rewrite19.0ms

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-l` `add-log-exp`
4×	`associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `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 → 57

Calls

3 calls:

6.0ms	(* (- y x) z)
4.0ms	(+ x (/ (* (- y x) z) t))
7.0ms	(/ (* (- y x) z) t)

series110.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- y x) z)
34.0ms	(+ x (/ (* (- y x) z) t))
47.0ms	(/ (* (- y x) z) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune134.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.6b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
3.0ms	(cbrt t)
1.0ms	(cbrt t)
17.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
177.0ms	(cbrt t)
179.0ms	(cbrt t)
74.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune297.0ms

Filtered

106 candidates to 84 candidates (79.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Merged error: 0b

Counts

114 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t)))
4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
54×	`cbrt-prod`
47×	`times-frac`
34×	`*-un-lft-identity`
26×	`add-cube-cbrt`
22×	`associate-r`
12×	`associate-l`
9×	`add-exp-log` `unswap-sqr`
6×	`pow1` `add-cbrt-cube`
5×	`cbrt-div` `div-inv`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 113

Calls

4 calls:

18.0ms	(* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t)))
7.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
7.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
6.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

series2.0s

Counts

4 → 12

Calls

4 calls:

963.0ms	(* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t)))
356.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
358.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
359.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	459	1428
1	1545	1364
2	5002	1355

prune503.0ms

Filtered

125 candidates to 111 candidates (88.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	125	8	133

Merged error: 0b

Counts

133 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
4.2b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
12×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
7.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
7.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
7.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

series1.5s

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
374.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
378.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
361.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	175	912
1	402	860
2	1515	832
3	5002	808

prune424.0ms

Filtered

84 candidates to 76 candidates (90.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0b

Counts

92 → 8

regimes178.0ms

Accuracy

71% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 4.7b

bsearch81.0ms

Steps

Iters	Range		Point
6	1.0218572913399418e+74	1.6293055854982187e+75	1.0394980955783228e+74
10	-1.8684835842984417e+49	-1.4003922086164443e+35	-5.121129492313333e+35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	70
1	42	70

end0.0ms

sample569.0ms

Algorithm

intervals

Results

288.0ms

10685×

body

valid