Details

Time bar (total: 6.6s)

sample25.0ms

Algorithm
intervals
Results
9.0ms328×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
11.0ms
(/ t (- 1.0 z))
50.0ms
(- (/ y z) (/ t (- 1.0 z)))
186.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ t (- 1.0 z))
29.0ms
(- (/ y z) (/ t (- 1.0 z)))
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify243.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0166127825
1500122260

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.0b
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×*-un-lft-identity
30×times-frac
26×add-cube-cbrt
10×add-exp-log associate-/r* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×cbrt-undiv flip3-- frac-2neg associate-*r/ div-exp clear-num flip-- div-inv
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
4 → 112
Calls
4 calls:
10.0ms
(/ t (- 1.0 z))
10.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
18.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ t (- 1.0 z))
31.0ms
(/ t (- 1.0 z))
42.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
54.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

simplify60.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0387969
11798870
25003827

prune400.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
7.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
107×add-sqr-sqrt
82×cbrt-prod
64×times-frac
36×distribute-lft-out--
33×cbrt-div
28×difference-of-squares
17×swap-sqr
15×add-cube-cbrt
13×associate-*r* associate-*l*
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 151
Calls
4 calls:
253.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
30.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
30.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
34.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
134.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
127.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
129.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify104.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
03912153
111392070
240571913
350011882

prune489.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.0b
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))
8.4b
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))
8.4b
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))
8.4b
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
15.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))
5.0ms
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))
5.0ms
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))
5.0ms
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))

series750.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))
227.0ms
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))
252.0ms
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))
223.0ms
(cbrt (* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03091423
114651253
250011184

prune323.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

61.1% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 4.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04829
15929
25929

end0.0ms

sample666.0ms

Algorithm
intervals
Results
285.0ms10198×body80valid