Details

Time bar (total: 5.8s)

sample22.0ms

Algorithm
intervals
Results
8.0ms320×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 5.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite366.0ms

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))
57.0ms
(- (/ y z) (/ t (- 1.0 z)))
196.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series107.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ t (- 1.0 z))
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
42.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify245.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0166127825
1500122260

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
5.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite130.0ms

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
(/ 1 (- 1.0 z))
22.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
32.0ms
(* t (/ 1 (- 1.0 z)))
56.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series132.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (- 1.0 z))
34.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
31.0ms
(* t (/ 1 (- 1.0 z)))
46.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06261632
126971397
250011294

prune393.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))
5.6b
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

rewrite42.0ms

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:
11.0ms
(/ t (- 1.0 z))
11.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
16.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ t (- 1.0 z))
34.0ms
(/ t (- 1.0 z))
41.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
53.0ms
(* x (+ (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))) (* (/ t (- 1.0 z)) (+ (- 1) 1))))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0387969
11798870
25003827

prune406.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (/ 1 (- 1.0 z)))
5.6b
(* x (- (/ y z) (* t (* (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))) (cbrt (/ 1 (- 1.0 z)))))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
65×*-un-lft-identity
63×cbrt-prod times-frac
47×add-cube-cbrt
26×prod-diff
19×associate-*r/
15×distribute-rgt-in cbrt-div distribute-lft-in
9×distribute-lft-out-- difference-of-squares
7×frac-sub
6×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×frac-times associate-*l/ div-inv
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×sub-neg
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 155
Calls
4 calls:
6.0ms
(cbrt (/ 1 (- 1.0 z)))
7.0ms
(cbrt (/ 1 (- 1.0 z)))
6.0ms
(cbrt (/ 1 (- 1.0 z)))
118.0ms
(* x (- (/ y z) (* t (* (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))) (cbrt (/ 1 (- 1.0 z)))))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (/ 1 (- 1.0 z)))
92.0ms
(cbrt (/ 1 (- 1.0 z)))
92.0ms
(cbrt (/ 1 (- 1.0 z)))
43.0ms
(* x (- (/ y z) (* t (* (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))) (cbrt (/ 1 (- 1.0 z)))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06142697
121102091
250011730

prune416.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes430.0ms

Accuracy

33.2% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 5.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04339
14339

end0.0ms

sample626.0ms

Algorithm
intervals
Results
275.0ms10124×body80valid