Details

Time bar (total: 2.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms264×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.2b
(/ x (- y (* z t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
35.0ms
(/ x (- y (* z t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune129.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.2b
(/ (- x) (fma t z (- y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×add-exp-log associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
4.0ms
(/ (- x) (fma t z (- y)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (- x) (fma t z (- y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune167.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
2.3b
(* x (/ 1 (- y (* z t))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
2.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
12.0ms
(* x (/ 1 (- y (* z t))))

series105.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- y (* z t))
45.0ms
(/ 1 (- y (* z t)))
32.0ms
(* x (/ 1 (- y (* z t))))

simplify73.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune194.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (- x) (* (cbrt (fma t z (- y))) (cbrt (fma t z (- y)))))
8.9b
(cbrt (fma t z (- y)))
8.9b
(cbrt (fma t z (- y)))
8.9b
(cbrt (fma t z (- y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×times-frac associate-/l*
9×add-exp-log cbrt-prod
7×add-cbrt-cube
6×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-undiv neg-mul-1 div-exp
1×neg-sub0 frac-2neg div-sub distribute-frac-neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 78
Calls
4 calls:
6.0ms
(/ (- x) (* (cbrt (fma t z (- y))) (cbrt (fma t z (- y)))))
0.0ms
(cbrt (fma t z (- y)))
0.0ms
(cbrt (fma t z (- y)))
1.0ms
(cbrt (fma t z (- y)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (- x) (* (cbrt (fma t z (- y))) (cbrt (fma t z (- y)))))
114.0ms
(cbrt (fma t z (- y)))
114.0ms
(cbrt (fma t z (- y)))
118.0ms
(cbrt (fma t z (- y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0305749
1877692
23652657
35001648

prune290.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.1b

regimes279.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.9b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample412.0ms

Algorithm
intervals
Results
196.0ms8355×body80valid