Details

Time bar (total: 6.7s)

sample36.0ms

Algorithm
intervals
Results
23.0ms324×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: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
2.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite284.0ms

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:
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
142.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
40.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify231.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.2b
(* t (/ 1 (- 1.0 z)))
2.5b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
12.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms
(/ 1 (- 1.0 z))
17.0ms
(* t (/ 1 (- 1.0 z)))
29.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
24.0ms
(/ 1 (- 1.0 z))
40.0ms
(* t (/ 1 (- 1.0 z)))
46.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06261632
127181397
250011294

prune404.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

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)))
2.5b
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

rewrite21.0ms

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:
5.0ms
(/ t (- 1.0 z))
5.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
7.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
33.0ms
(/ t (- 1.0 z))
49.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
59.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0387969
11798870
25003827

prune413.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.5b
(* x (+ (- (* (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z))) (/ t (- 1.0 z))) (* (/ 1 (- 1.0 z)) (+ (- t) t))))
12.6b
(cbrt (/ y z))
12.6b
(cbrt (/ y z))
12.6b
(cbrt (/ y z))

rewrite543.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-*r/
63×cbrt-div
45×frac-add
43×frac-times
39×cbrt-prod
35×frac-sub
34×associate-*l/
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity times-frac
19×flip3-+ flip-+
6×pow1 add-exp-log add-cbrt-cube
5×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l* div-inv
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 141
Calls
4 calls:
531.0ms
(* x (+ (- (* (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z))) (/ t (- 1.0 z))) (* (/ 1 (- 1.0 z)) (+ (- t) t))))
1.0ms
(cbrt (/ y z))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series424.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (+ (- (* (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z))) (/ t (- 1.0 z))) (* (/ 1 (- 1.0 z)) (+ (- t) t))))
58.0ms
(cbrt (/ y z))
247.0ms
(cbrt (/ y z))
67.0ms
(cbrt (/ y z))

simplify52.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012382629
150012281

prune569.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes308.0ms

Accuracy

31.4% (3.6b remaining)

Error of 3.7b against oracle of 0.1b and baseline of 5.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04439
14439

end0.0ms

sample1.0s

Algorithm
intervals
Results
749.0ms10175×body80valid