Details

Time bar (total: 3.9s)

sample31.0ms

Algorithm
intervals
Results
17.0ms343×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (20.0ms)

IterNodesCost
0164
1324
2714
31604
42744
54624
67274
78913
810833
912163
1012693
1112693

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
4.7b
(/ (* y (- z t)) a)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
11.0ms
(* y (- z t))
5.0ms
(- x (/ (* y (- z t)) a))
10.0ms
(/ (* y (- z t)) a)

series128.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
45.0ms
(- x (/ (* y (- z t)) a))
49.0ms
(/ (* y (- z t)) a)

simplify64.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05051133
12195751
25001747

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.0b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma (/ y a) (- t z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ y a) (- t z) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune36.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(- x (/ y (/ a (- z t))))
5.6b
(/ y (/ a (- z t)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
382×add-sqr-sqrt
375×*-un-lft-identity
287×add-cube-cbrt
204×prod-diff
46×difference-of-squares
44×distribute-lft-out--
32×associate-/r/
26×associate-/r*
18×div-inv
15×flip3-- flip--
10×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 368
Calls
3 calls:
5.0ms
(/ a (- z t))
40.0ms
(- x (/ y (/ a (- z t))))
10.0ms
(/ y (/ a (- z t)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ a (- z t))
69.0ms
(- x (/ y (/ a (- z t))))
81.0ms
(/ y (/ a (- z t)))

simplify95.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
017089303
150017250

prune710.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
4.4b
(* (/ (* (cbrt y) (cbrt y)) a) (* (cbrt y) (- z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-rgt-in distribute-lft-in
36×prod-diff
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 cbrt-prod
7×associate-*l*
6×associate-*r/
4×cbrt-undiv expm1-log1p-u sub-neg div-exp log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down
2×frac-times flip3-- flip--
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
32.0ms
(* (/ (* (cbrt y) (cbrt y)) a) (* (cbrt y) (- z t)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt y)
171.0ms
(cbrt y)
168.0ms
(cbrt y)
84.0ms
(* (/ (* (cbrt y) (cbrt y)) a) (* (cbrt y) (- z t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06711607
125361016
25001860

prune253.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes318.0ms

Accuracy

85.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample915.0ms

Algorithm
intervals
Results
563.0ms10766×body80valid