Details

Time bar (total: 5.3s)

sample43.0ms

Algorithm
intervals
Results
18.0ms287×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite320.0ms

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:
48.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
25.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
127.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
116.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series743.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
64.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
172.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
471.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify73.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05761201
127971026
250011026

prune441.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ x (* 1.6453555072203998 (* y b)))
16.0ms
(* 1.6453555072203998 (* y b))

series60.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* 1.6453555072203998 (* y b)))
23.0ms
(* 1.6453555072203998 (* y b))

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune94.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
10.7b
(cbrt (* 1.6453555072203998 (* y b)))
10.7b
(cbrt (* 1.6453555072203998 (* y b)))
10.7b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite59.0ms

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:
25.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
13.0ms
(cbrt (* 1.6453555072203998 (* y b)))
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
98.0ms
(cbrt (* 1.6453555072203998 (* y b)))
99.0ms
(cbrt (* 1.6453555072203998 (* y b)))
97.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify102.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0205441
1703390
23412330
35001323

prune233.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 4 expressions with local error:

10.7b
(cbrt (* 1.6453555072203998 (* y b)))
10.7b
(cbrt (* 1.6453555072203998 (* y b)))
10.7b
(cbrt (* 1.6453555072203998 (* y b)))
10.7b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))
13.0ms
(cbrt (* 1.6453555072203998 (* y b)))
11.0ms
(cbrt (* 1.6453555072203998 (* y b)))
10.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (* 1.6453555072203998 (* y b)))
101.0ms
(cbrt (* 1.6453555072203998 (* y b)))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify107.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 5 (103.0ms)

IterNodesCost
088272
1168244
2405212
3988212
43084188
55001184

prune141.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.7b

regimes568.0ms

Accuracy

94.2% (1.3b remaining)

Error of 4.4b against oracle of 3.1b and baseline of 26.4b

bsearch193.0ms

Steps
ItersRangePoint
8
7.624756081001853e+46
3.760092939552818e+50
3.8725885520718483e+49
5
-5.009681069778761e+71
-1.6532640491713777e+71
-2.9621754119050146e+71

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample1.0s

Algorithm
intervals
Results
586.0ms8871×body80valid