Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

286×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	62	11
1	132	11
2	377	10
3	1105	10
4	3599	10
5	5001	10

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
2.9b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.3b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow-prod-down` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

11.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
19.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
50.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
42.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series721.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
39.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
167.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
448.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify82.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	604	1116
1	2832	928
2	5001	905

prune530.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.2b	(* 1.6453555072203998 (* y b))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-def` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 36

Calls

2 calls:

2.0ms	(+ x (* 1.6453555072203998 (* y b)))
6.0ms	(* 1.6453555072203998 (* y b))

series59.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* 1.6453555072203998 (* y b)))
21.0ms	(* 1.6453555072203998 (* y b))

simplify78.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	151
1	576	129
2	2511	129
3	5002	129

prune112.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
12.9b	(cbrt (* 1.6453555072203998 (* y b)))
12.9b	(cbrt (* 1.6453555072203998 (* y b)))
12.9b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
102.0ms	(cbrt (* 1.6453555072203998 (* y b)))
100.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify108.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	212	478
1	738	427
2	3536	370
3	5002	365

prune266.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 4 expressions with local error:

12.9b	(cbrt (* 1.6453555072203998 (* y b)))
12.9b	(cbrt (* 1.6453555072203998 (* y b)))
12.9b	(cbrt (* 1.6453555072203998 (* y b)))
12.9b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cbrt (* 1.6453555072203998 (* y b)))
7.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (* 1.6453555072203998 (* y b)))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
100.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify104.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (32.0ms)

Iter	Nodes	Cost
0	90	304
1	176	276
2	422	244
3	1037	244
4	3361	220
5	5001	220

prune214.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.9b

regimes453.0ms

Accuracy

93.3% (1.5b remaining)

Error of 4.6b against oracle of 3.1b and baseline of 25.9b

bsearch273.0ms

Steps

Iters	Range		Point
10	5.6176619114156805e+57	9.020856138625512e+71	1.6181471283118757e+58
7	-3.473570168653008e+54	-1.0380204309030769e+53	-1.2458395986064981e+53

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	45
1	72	45

end0.0ms

sample904.0ms

Algorithm

intervals

Results

598.0ms

8901×

body

valid