Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

295×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	116	18
2	329	18
3	935	18
4	2876	18
5	5001	18

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
3.4b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.5b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite125.0ms

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×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `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 → 87

Calls

4 calls:

18.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
11.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
53.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
41.0ms	(/ (* 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:

34.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
65.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
172.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
451.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify83.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	587	1179
1	2851	995
2	5002	995

prune457.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1.6453555072203998 (* y b))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* 1.6453555072203998 (* y b))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* 1.6453555072203998 (* y b))

simplify77.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	71
1	318	56
2	1232	56
3	3436	56
4	5002	56

prune68.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 1.6453555072203998 y) b)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

7.0ms

(* (* 1.6453555072203998 y) b)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* 1.6453555072203998 y) b)

simplify63.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	98	72
1	486	57
2	2390	57
3	5002	57

prune73.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
7.6b	(cbrt (* (* 1.6453555072203998 y) b))
7.6b	(cbrt (* (* 1.6453555072203998 y) b))
7.6b	(cbrt (* (* 1.6453555072203998 y) b))

rewrite24.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

8.0ms	(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
5.0ms	(cbrt (* (* 1.6453555072203998 y) b))
5.0ms	(cbrt (* (* 1.6453555072203998 y) b))
5.0ms	(cbrt (* (* 1.6453555072203998 y) b))

series443.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
106.0ms	(cbrt (* (* 1.6453555072203998 y) b))
99.0ms	(cbrt (* (* 1.6453555072203998 y) b))
101.0ms	(cbrt (* (* 1.6453555072203998 y) b))

simplify100.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	207	442
1	705	391
2	3375	331
3	5001	324

prune210.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

regimes844.0ms

Accuracy

94.8% (1.4b remaining)

Error of 4.5b against oracle of 3.1b and baseline of 30.7b

bsearch272.0ms

Steps

Iters	Range		Point
8	1.2564570459059827e+18	1.9712404559034665e+21	1.7516801007616134e+21
10	-5.137084903285435e+48	-6.6313037056385885e+35	-3.393892445676851e+38

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample910.0ms

Algorithm

intervals

Results

580.0ms

8906×

body

valid