Details

Time bar (total: 4.6s)

sample38.0ms

Algorithm
intervals
Results
26.0ms262×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1398
2648
31158
42078
54658
613378
750018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b
(/ (- (* y z) x) (- (* t z) x))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
25×times-frac
24×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
3×flip3-- fma-def flip3-+ prod-diff flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg fma-neg diff-log sum-log
Counts
4 → 113
Calls
4 calls:
3.0ms
(- (* y z) x)
21.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
57.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms
(/ (- (* y z) x) (- (* t z) x))

series292.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (* y z) x)
87.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
125.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify63.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04551085
119871003
250011002

prune340.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.5b
(fma (/ y (- (* t z) x)) z x)
3.3b
(/ y (- (* t z) x))
3.8b
(/ x (- (* t z) x))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×*-un-lft-identity
47×times-frac
32×add-cube-cbrt
12×associate-/l*
10×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
7×distribute-lft-out
6×associate-/r/
5×distribute-lft-out--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
2×associate-/l/
1×flip3-+ div-sub flip-+ fma-udef
Counts
4 → 125
Calls
4 calls:
55.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
0.0ms
(fma (/ y (- (* t z) x)) z x)
5.0ms
(/ y (- (* t z) x))
6.0ms
(/ x (- (* t z) x))

series272.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
57.0ms
(fma (/ y (- (* t z) x)) z x)
30.0ms
(/ y (- (* t z) x))
64.0ms
(/ x (- (* t z) x))

simplify62.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04881388
116791305
250021301

prune449.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

2.5b
(fma (/ y (- (* t z) x)) z x)
3.3b
(/ y (- (* t z) x))
3.8b
(/ x (- (* t z) x))
13.3b
(cbrt (pow (/ x (- (* t z) x)) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×unpow-prod-down cube-prod
8×add-exp-log associate-/r/ add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×cube-div cube-mult cbrt-div pow1/3 unpow3 rem-cbrt-cube fma-udef sqr-pow
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (/ y (- (* t z) x)) z x)
5.0ms
(/ y (- (* t z) x))
5.0ms
(/ x (- (* t z) x))
9.0ms
(cbrt (pow (/ x (- (* t z) x)) 3))

series231.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma (/ y (- (* t z) x)) z x)
33.0ms
(/ y (- (* t z) x))
60.0ms
(/ x (- (* t z) x))
81.0ms
(cbrt (pow (/ x (- (* t z) x)) 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0491811
12042773
25002773

prune402.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- (fma (/ y (- (* t z) x)) z x) (* 1 (/ x (- (* t z) x)))) (+ x 1.0))
2.5b
(fma (/ y (- (* t z) x)) z x)
3.3b
(/ y (- (* t z) x))
3.8b
(/ x (- (* t z) x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
34×times-frac
30×add-sqr-sqrt add-cube-cbrt
10×add-exp-log associate-/r* add-cbrt-cube associate-/l*
6×associate-/r/
5×distribute-lft-out distribute-lft-out--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
2×associate-/l/
1×flip3-+ div-sub flip-+ fma-udef
Counts
4 → 115
Calls
4 calls:
10.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (* 1 (/ x (- (* t z) x)))) (+ x 1.0))
0.0ms
(fma (/ y (- (* t z) x)) z x)
5.0ms
(/ y (- (* t z) x))
6.0ms
(/ x (- (* t z) x))

series273.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (* 1 (/ x (- (* t z) x)))) (+ x 1.0))
54.0ms
(fma (/ y (- (* t z) x)) z x)
29.0ms
(/ y (- (* t z) x))
65.0ms
(/ x (- (* t z) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04691199
118101107
250011103

prune389.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes143.0ms

Accuracy

30.4% (3.0b remaining)

Error of 3.3b against oracle of 0.3b and baseline of 4.7b

bsearch117.0ms

Steps
ItersRangePoint
8
1.0027175483906062e+76
1.3424345861994201e+79
5.589683021273789e+76
8
-1.0812403351652139e+135
-8.069388505643744e+131
-1.6579298446565844e+132

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03413
13413

end0.0ms

sample1.1s

Algorithm
intervals
Results
838.0ms8315×body80valid