Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.8b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y t) (- z x) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma (/ y t) (- z x) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y t) (- z x)) x)
7.1b
(* (/ y t) (- z x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 sub-neg add-log-exp
expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
21.0ms
(+ (* (/ y t) (- z x)) x)
31.0ms
(* (/ y t) (- z x))

series76.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* (/ y t) (- z x)) x)
47.0ms
(* (/ y t) (- z x))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0468779
11870547
25001533

prune222.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(fma (fma (- x) 1 x) (/ y t) x)
7.1b
(* (/ y t) (fma 1 z (- (* (cbrt x) (* (cbrt x) (cbrt x))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
add-exp-log add-cbrt-cube
pow1 cbrt-prod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r* fma-udef
pow1/3 prod-exp cbrt-unprod unswap-sqr
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt x)
1.0ms
(cbrt x)
0.0ms
(fma (fma (- x) 1 x) (/ y t) x)
15.0ms
(* (/ y t) (fma 1 z (- (* (cbrt x) (* (cbrt x) (cbrt x))))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
165.0ms
(cbrt x)
39.0ms
(fma (fma (- x) 1 x) (/ y t) x)
77.0ms
(* (/ y t) (fma 1 z (- (* (cbrt x) (* (cbrt x) (cbrt x))))))

simplify147.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0253595
1987504
24870411
35001411

prune331.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (cbrt (/ y t)) (cbrt (/ y t))) (* (cbrt (/ y t)) (- z x)))
11.7b
(cbrt (/ y t))
11.7b
(cbrt (/ y t))
11.7b
(cbrt (/ y t))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×distribute-rgt-in distribute-lft-in
39×cbrt-prod cbrt-div
36×prod-diff
29×frac-times
27×times-frac
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
pow1/3 div-inv
associate-*r* associate-*l* *-commutative
Counts
4 → 163
Calls
4 calls:
86.0ms
(* (* (cbrt (/ y t)) (cbrt (/ y t))) (* (cbrt (/ y t)) (- z x)))
2.0ms
(cbrt (/ y t))
2.0ms
(cbrt (/ y t))
3.0ms
(cbrt (/ y t))

series222.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (cbrt (/ y t)) (cbrt (/ y t))) (* (cbrt (/ y t)) (- z x)))
59.0ms
(cbrt (/ y t))
60.0ms
(cbrt (/ y t))
57.0ms
(cbrt (/ y t))

simplify64.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
07762311
122301663
250021430

prune335.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

24% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch67.0ms

Steps
ItersRangePoint
10
3.3499961860968546e-228
1.6411377633301706e-217
4.29876864638098e-219
6
-5.960054100832287e+24
-1.443373169043936e+24
-2.1172576990343175e+24

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample626.0ms

Algorithm
intervals
Results
257.0ms10642×body80valid