Details

Time bar (total: 5.5s)

sample41.0ms

Algorithm
intervals
Results
17.0ms284×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
3.8b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.9b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite355.0ms

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:
66.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
48.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
126.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
113.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series638.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
37.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
150.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
411.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05871282
128611104
250021104

prune454.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.7b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 1.6453555072203998 (* y b))

rewrite206.0ms

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:
206.0ms
(* 1.6453555072203998 (* y b))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* 1.6453555072203998 (* y b))

simplify80.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune60.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.6b
(cbrt (* 1.6453555072203998 (* y b)))
11.6b
(cbrt (* 1.6453555072203998 (* y b)))
11.6b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite60.0ms

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:
26.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
12.0ms
(cbrt (* 1.6453555072203998 (* y b)))
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
88.0ms
(cbrt (* 1.6453555072203998 (* y b)))
89.0ms
(cbrt (* 1.6453555072203998 (* y b)))
90.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify105.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0205441
1703390
23412330
35001323

prune236.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 4 expressions with local error:

1.1b
(pow (cbrt (cbrt (* 1.6453555072203998 (* y b)))) 5)
11.6b
(cbrt (* 1.6453555072203998 (* y b)))
11.6b
(cbrt (* 1.6453555072203998 (* y b)))
11.6b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 49
Calls
4 calls:
8.0ms
(pow (cbrt (cbrt (* 1.6453555072203998 (* y b)))) 5)
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(pow (cbrt (cbrt (* 1.6453555072203998 (* y b)))) 5)
89.0ms
(cbrt (* 1.6453555072203998 (* y b)))
89.0ms
(cbrt (* 1.6453555072203998 (* y b)))
90.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify60.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0221410
1572372
21805348
35002346

prune245.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.7b

regimes565.0ms

Accuracy

92.9% (1.6b remaining)

Error of 5.0b against oracle of 3.3b and baseline of 26.2b

bsearch216.0ms

Steps
ItersRangePoint
7
5.473988378028149e+19
1.0997610598269826e+22
5.54560905832827e+21
7
-3.6597854604479168e+53
-9.366104350108347e+51
-3.6077243051632657e+52

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07437
17437

end0.0ms

sample990.0ms

Algorithm
intervals
Results
562.0ms8845×body80valid