Details

sample82.0ms

Algorithm

intervals

Results

37.0ms	103×	body	2560	valid
20.0ms	85×	body	1280	valid
6.0ms	191×	body	80	nan
5.0ms	29×	body	640	valid
2.0ms	16×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	43	7
2	84	7
3	155	7
4	262	7
5	454	7
6	2878	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

3.0ms	(- 1.0 (* 5.0 (* v v)))
10.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (* 5.0 (* v v)))
80.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
29.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	391	750
1	1491	682
2	5002	678

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))
0.0b	(log (exp (- 1.0 (* 5.0 (* v v)))))
0.1b	(* 5.0 (* v v))
0.7b	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
24×	`log-pow`
18×	`exp-prod`
15×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`log-prod` `difference-of-squares`
7×	`associate-/l*`
5×	`exp-sum`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `exp-diff` `associate-/r/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `flip3--` `frac-2neg` `div-sub` `div-exp` `rem-log-exp` `associate-r` `clear-num` `*-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

21.0ms	(/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))
8.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))
57.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	409	1125
1	1433	984
2	5001	961

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- 1.0 (* 5.0 (* v v)))))
0.0b	(expm1 (log1p (acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))))
0.1b	(* 5.0 (* v v))
0.7b	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`exp-sum`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`acos-asin` `sub-neg` `log-div` `expm1-log1p` `exp-diff` `rem-log-exp` `associate-r` `*-commutative` `expm1-udef` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

6.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
0.0ms	(expm1 (log1p (acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(log (exp (- 1.0 (* 5.0 (* v v)))))
128.0ms	(expm1 (log1p (acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))))
24.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	208	542
1	559	461
2	1766	447
3	5002	444

prune186.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.7b	(acos (* (* (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))) (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`acos-asin`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* 5.0 (* v v))
6.0ms	(* 5.0 (* v v))
7.0ms	(* 5.0 (* v v))
0.0ms	(acos (* (* (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))) (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 5.0 (* v v))
28.0ms	(* 5.0 (* v v))
25.0ms	(* 5.0 (* v v))
5.0ms	(acos (* (* (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0))) (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))) (cbrt (/ (log (exp (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	129	667
1	365	561
2	1005	561
3	3690	538
4	5002	538

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2967×	body	2560	valid
580.0ms	2451×	body	1280	valid
235.0ms	7999×	body	80	nan
225.0ms	1293×	body	640	valid
80.0ms	625×	body	320	valid
38.0ms	435×	body	160	valid
12.0ms	229×	body	80	valid