Details

Time bar (total: 6.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms312×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: 4.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite498.0ms

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:
41.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
346.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series129.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
35.0ms
(/ t (- 1.0 z))
57.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify269.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
4.4b
(* x (fma 1 (/ y z) (- (* (/ t (cbrt (- 1.0 z))) (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
59×add-sqr-sqrt
53×*-un-lft-identity
26×cbrt-div
23×add-cube-cbrt
20×pow1 swap-sqr
19×associate-*r* associate-*l*
13×flip3-- pow1/3 flip-- distribute-lft-out--
10×add-exp-log
9×difference-of-squares unswap-sqr
8×frac-times
6×add-cbrt-cube
5×pow-prod-down
4×expm1-log1p-u associate-*r/ associate-*l/ pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×prod-exp *-commutative cbrt-unprod
2×pow2 pow-plus fma-udef
1×distribute-rgt-in distribute-lft-in
Counts
4 → 155
Calls
4 calls:
2.0ms
(cbrt (- 1.0 z))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
23.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
3.0ms
(* x (fma 1 (/ y z) (- (* (/ t (cbrt (- 1.0 z))) (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (- 1.0 z))
113.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
112.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
59.0ms
(* x (fma 1 (/ y z) (- (* (/ t (cbrt (- 1.0 z))) (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04461500
116241390
250021296

prune640.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

4.4b
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z)) (- (/ t (- 1.0 z)))))
11.8b
(cbrt (/ y z))
11.8b
(cbrt (/ y z))
11.8b
(cbrt (/ y z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-*r* associate-*l* div-inv
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z)) (- (/ t (- 1.0 z)))))
1.0ms
(cbrt (/ y z))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series355.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z)) (- (/ t (- 1.0 z)))))
68.0ms
(cbrt (/ y z))
70.0ms
(cbrt (/ y z))
65.0ms
(cbrt (/ y z))

simplify115.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0232817
1767726
23789696
35001657

prune381.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.4b
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
3.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

series713.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt y)
181.0ms
(cbrt y)
188.0ms
(cbrt y)
154.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0176580
1697477
23778448
35001433

prune264.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.5b

regimes232.0ms

Accuracy

78.5% (0.9b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 4.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05547
15947
25947

end0.0ms

sample562.0ms

Algorithm
intervals
Results
302.0ms10059×body80valid