Details

Time bar (total: 4.6s)

sample38.0ms

Algorithm
intervals
Results
18.0ms278×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize27.0ms

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)
2.7b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite136.0ms

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:
30.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
52.0ms
(* 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))

series745.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
68.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
172.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
453.0ms
(/ (* 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 (15.0ms)

IterNodesCost
05811221
128201048
250011048

prune461.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.8b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 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))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1.6453555072203998 (* y b))

simplify79.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune64.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.8b

localize9.0ms

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)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* (* 1.6453555072203998 y) b)

simplify59.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09872
148657
2239057
3500257

prune64.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
12.1b
(cbrt (* (* 1.6453555072203998 y) b))
12.1b
(cbrt (* (* 1.6453555072203998 y) b))
12.1b
(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:
7.0ms
(* (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))

series448.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
101.0ms
(cbrt (* (* 1.6453555072203998 y) b))
100.0ms
(cbrt (* (* 1.6453555072203998 y) b))
105.0ms
(cbrt (* (* 1.6453555072203998 y) b))

simplify97.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0207442
1705391
23375331
35001324

prune220.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.8b

regimes776.0ms

Accuracy

95.4% (1.3b remaining)

Error of 4.4b against oracle of 3.1b and baseline of 30.9b

bsearch198.0ms

Steps
ItersRangePoint
9
9.599324147313888e+51
4.0242181572542963e+58
6.587583138873341e+55
4
-9.466811589050639e+61
-5.642773001378069e+61
-5.762274207242838e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample918.0ms

Algorithm
intervals
Results
606.0ms8916×body80valid