Details

Time bar (total: 5.8s)

sample46.0ms

Algorithm
intervals
Results
23.0ms285×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.6b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite75.0ms

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:
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
36.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series744.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
68.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
445.0ms
(/ (* 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)

IterNodesCost
06011155
12833965
25001939

prune560.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize6.0ms

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:
3.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series59.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* 1.6453555072203998 (* y b)))
24.0ms
(* 1.6453555072203998 (* y b))

simplify80.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0157151
1576129
22511129
35002129

prune114.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
149.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
154.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
154.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify95.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02651081
18691016
23657953
35001953

prune351.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
156.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
149.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
153.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify62.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0151584
1423548
21633536
35002516

prune339.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.7b

regimes609.0ms

Accuracy

92.3% (1.8b remaining)

Error of 4.8b against oracle of 3.0b and baseline of 26.0b

bsearch273.0ms

Steps
ItersRangePoint
7
3042832914037.265
132187102959550.33
130676711668149.23
10
-17194581355831.816
-1816.595590764893
-17052070997538.893

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06926
16926

end0.0ms

sample938.0ms

Algorithm
intervals
Results
629.0ms8891×body80valid